{"id":565,"date":"2026-07-15T02:45:32","date_gmt":"2026-07-15T02:45:32","guid":{"rendered":"https:\/\/physicsfundamentalsinfo.com\/blog\/?p=565"},"modified":"2026-07-15T02:45:34","modified_gmt":"2026-07-15T02:45:34","slug":"potential-difference","status":"publish","type":"post","link":"https:\/\/physicsfundamentalsinfo.com\/blog\/electromagnetism\/potential-difference\/","title":{"rendered":"What Is Potential Difference (Voltage)?"},"content":{"rendered":"\n<div class=\"pf-citation\"><div class=\"eyebrow\">Definition<\/div><p>\n\nPotential difference is the energy transferred per unit charge between two points in a circuit, given by the formula V = W\/Q. It is measured in volts, where one volt equals one joule per coulomb. A potential difference of 6 V means every coulomb of charge passing between those two points transfers 6 joules of energy.\n\n<\/p><\/div>\n\n<p>A crow lands on a 25,000-volt power line and carries on preening. No spark, no smoke, nothing at all. Yet a 9 V battery \u2014 thousands of times feebler \u2014 will make your tongue tingle the moment you touch it across the terminals.<\/p>\n\n<p>The crow survives for one reason. Voltage is not something a wire contains; it exists <em>between<\/em> two points, and the bird only ever touches one of them. Get that single idea straight and most of electricity stops being mysterious.<\/p>\n\n<h2>What Is Potential Difference?<\/h2>\n\n<p>Potential difference is the amount of energy transferred per coulomb of charge moving between two points in a circuit. Say that slowly, because every word is doing work. It is energy, it is <em>per coulomb<\/em>, and it is <em>between two points<\/em>.<\/p>\n\n<p>Think of a cell as a pump that lifts charge to the top of a hill. Each coulomb arrives at the top carrying a fixed parcel of energy. As it travels down through a lamp, it hands that parcel over \u2014 and the lamp glows.<\/p>\n\n<p>The size of the parcel per coulomb is the potential difference. A 6 V supply hands every coulomb 6 joules. A 12 V supply hands every coulomb 12 joules, which is why the same lamp burns twice as brightly and twice as briefly.<\/p>\n\n<p>Notice what the definition never mentions: how much charge you move, or how fast. Potential difference is a property of the two points, not of the traffic between them. Move one coulomb or a million \u2014 the energy <em>per<\/em> coulomb is unchanged.<\/p>\n\n<h3>Potential Difference and Electric Potential<\/h3>\n\n<p>Electric potential is the energy per coulomb at a <em>single<\/em> point, measured relative to some agreed zero. Potential difference is what you get when you subtract one from another: V<sub>AB<\/sub> = V<sub>A<\/sub> \u2212 V<sub>B<\/sub>.<\/p>\n\n<p>That agreed zero is usually the earth, which is why engineers call it &#8220;ground&#8221; and set it at 0 V. It is a convention, not a law of nature \u2014 much like measuring mountain heights from sea level rather than from the centre of the planet.<\/p>\n\n<h2>The Potential Difference Formula<\/h2>\n\n<p>The potential difference formula is V = W\/Q \u2014 the energy transferred divided by the charge that transferred it.<\/p>\n\n<div class=\"pf-formula\">V = W \/ Q<\/div>\n\n<p>Every symbol, with its SI unit:<\/p>\n\n<ul>\n<li><strong>V<\/strong> \u2014 the potential difference between the two points, measured in <strong>volts (V)<\/strong><\/li>\n<li><strong>W<\/strong> \u2014 the <a href=\"https:\/\/physicsfundamentalsinfo.com\/blog\/mechanics\/work-done-in-physics\/\">work done<\/a>, meaning the energy transferred, measured in <strong>joules (J)<\/strong><\/li>\n<li><strong>Q<\/strong> \u2014 the charge moved between the two points, measured in <strong>coulombs (C)<\/strong><\/li>\n<\/ul>\n\n<p>This gives the volt its meaning: 1 V = 1 J\/C. According to NIST, the <a href=\"https:\/\/www.nist.gov\/pml\/owm\/si-units-electric-current\" target=\"_blank\" rel=\"noopener\">SI unit of electric potential difference<\/a> is the volt, named after Alessandro Volta.<\/p>\n\n<p>The formula rearranges two ways, and exam questions lean on both:<\/p>\n\n<div class=\"pf-formula\">W = QV<\/div>\n\n<div class=\"pf-formula\">Q = W \/ V<\/div>\n\n<p>Use <strong>W = QV<\/strong> when you know the voltage and want the energy delivered. Use <strong>Q = W\/V<\/strong> when you know the energy and want the charge that carried it.<\/p>\n\n<svg viewBox=\"0 0 700 360\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" role=\"img\" aria-label=\"Diagram showing potential difference as energy transferred per coulomb: a charge of one coulomb arrives at point A carrying 6 joules, passes through a component, and leaves point B with 0 joules, giving a potential difference of 6 volts\" style=\"width:100%;height:auto;\">\n    <rect x=\"0\" y=\"0\" width=\"700\" height=\"360\" fill=\"#F5F2EA\" rx=\"4\"><\/rect>\n    <text x=\"350\" y=\"34\" text-anchor=\"middle\" font-family=\"Manrope, Arial, sans-serif\" font-size=\"17\" font-weight=\"700\" fill=\"#0A1628\">Potential difference = energy transferred per coulomb<\/text>\n  \n    <line x1=\"40\" y1=\"180\" x2=\"248\" y2=\"180\" stroke=\"#0A1628\" stroke-width=\"3\"><\/line>\n    <line x1=\"452\" y1=\"180\" x2=\"660\" y2=\"180\" stroke=\"#0A1628\" stroke-width=\"3\"><\/line>\n    <rect x=\"248\" y=\"145\" width=\"204\" height=\"70\" fill=\"#142139\" stroke=\"#0A1628\" stroke-width=\"2\" rx=\"3\"><\/rect>\n    <text x=\"350\" y=\"176\" text-anchor=\"middle\" font-family=\"Manrope, Arial, sans-serif\" font-size=\"14\" font-weight=\"700\" fill=\"#FAF6EE\">COMPONENT<\/text>\n    <text x=\"350\" y=\"196\" text-anchor=\"middle\" font-family=\"Manrope, Arial, sans-serif\" font-size=\"11\" fill=\"#C5D0DC\">lamp, resistor, motor<\/text>\n  \n    <circle cx=\"248\" cy=\"180\" r=\"6\" fill=\"#C8932A\" stroke=\"#0A1628\" stroke-width=\"1.5\"><\/circle>\n    <circle cx=\"452\" cy=\"180\" r=\"6\" fill=\"#C8932A\" stroke=\"#0A1628\" stroke-width=\"1.5\"><\/circle>\n    <text x=\"248\" y=\"138\" text-anchor=\"middle\" font-family=\"Manrope, Arial, sans-serif\" font-size=\"15\" font-weight=\"700\" fill=\"#0A1628\">A<\/text>\n    <text x=\"452\" y=\"138\" text-anchor=\"middle\" font-family=\"Manrope, Arial, sans-serif\" font-size=\"15\" font-weight=\"700\" fill=\"#0A1628\">B<\/text>\n  \n    <circle cx=\"140\" cy=\"180\" r=\"17\" fill=\"#C8932A\" stroke=\"#0A1628\" stroke-width=\"2\"><\/circle>\n    <text x=\"140\" y=\"186\" text-anchor=\"middle\" font-family=\"Manrope, Arial, sans-serif\" font-size=\"13\" font-weight=\"700\" fill=\"#0A1628\">1 C<\/text>\n    <circle cx=\"560\" cy=\"180\" r=\"17\" fill=\"#C5D0DC\" stroke=\"#0A1628\" stroke-width=\"2\"><\/circle>\n    <text x=\"560\" y=\"186\" text-anchor=\"middle\" font-family=\"Manrope, Arial, sans-serif\" font-size=\"13\" font-weight=\"700\" fill=\"#0A1628\">1 C<\/text>\n  \n    <polygon points=\"196,180 182,173 182,187\" fill=\"#0A1628\"><\/polygon>\n    <polygon points=\"620,180 606,173 606,187\" fill=\"#0A1628\"><\/polygon>\n  \n    <text x=\"140\" y=\"103\" text-anchor=\"middle\" font-family=\"Manrope, Arial, sans-serif\" font-size=\"13\" font-weight=\"700\" fill=\"#7A1F2B\">arrives with 6 J<\/text>\n    <text x=\"560\" y=\"103\" text-anchor=\"middle\" font-family=\"Manrope, Arial, sans-serif\" font-size=\"13\" font-weight=\"700\" fill=\"#7A1F2B\">leaves with 0 J<\/text>\n    <line x1=\"140\" y1=\"112\" x2=\"140\" y2=\"158\" stroke=\"#7A1F2B\" stroke-width=\"1.5\" stroke-dasharray=\"4 3\"><\/line>\n    <line x1=\"560\" y1=\"112\" x2=\"560\" y2=\"158\" stroke=\"#7A1F2B\" stroke-width=\"1.5\" stroke-dasharray=\"4 3\"><\/line>\n  \n    <line x1=\"350\" y1=\"215\" x2=\"350\" y2=\"245\" stroke=\"#0A1628\" stroke-width=\"2\"><\/line>\n    <polygon points=\"350,252 343,238 357,238\" fill=\"#0A1628\"><\/polygon>\n    <text x=\"350\" y=\"272\" text-anchor=\"middle\" font-family=\"Manrope, Arial, sans-serif\" font-size=\"12\" fill=\"#0A1628\">6 J per coulomb converted to light &amp; heat<\/text>\n  \n    <rect x=\"175\" y=\"288\" width=\"350\" height=\"50\" fill=\"#FAF6EE\" stroke=\"#D9CFB8\" stroke-width=\"1.5\" rx=\"3\"><\/rect>\n    <text x=\"350\" y=\"320\" text-anchor=\"middle\" font-family=\"Manrope, Arial, sans-serif\" font-size=\"20\" font-weight=\"700\" fill=\"#7A1F2B\">V = W \/ Q = 6 J \/ 1 C = 6 V<\/text>\n  <\/svg>\n\n<p style=\"text-align:center;font-size:14px;font-style:italic;color:#1F2E47;\">Potential difference is the energy each coulomb gives up between points A and B \u2014 here, 6 J per coulomb, so V = 6 V.<\/p>\n\n<h2>How Potential Difference Works in a Circuit<\/h2>\n\n<p>A cell works by chemistry, not magic. Reactions inside it push electrons onto the negative terminal and strip them from the positive one, doing work on each charge and loading it with electrical potential energy.<\/p>\n\n<p>Once a circuit is complete, that stored <a href=\"https:\/\/physicsfundamentalsinfo.com\/blog\/mechanics\/what-is-energy-in-physics\/\">energy<\/a> has somewhere to go. Charge drifts round the loop, and at every component the electric field does work on it \u2014 the same field described by <a href=\"https:\/\/physicsfundamentalsinfo.com\/blog\/electromagnetism\/coulombs-law\/\">Coulomb&#8217;s law<\/a>, just organised into a circuit.<\/p>\n\n<p>The energy does not vanish; it changes form. In a lamp it becomes light and heat. In a motor it becomes rotation. In a resistor it becomes heat alone, which is why your laptop charger runs warm.<\/p>\n\n<p>Here is the part students find genuinely surprising. The charge carriers themselves crawl \u2014 a drift speed of well under a millimetre per second in typical wiring. The energy still arrives instantly, because the field pushes on <em>every<\/em> charge in the circuit at once, like a bicycle chain that moves as a whole.<\/p>\n\n<p>Drop a slider on the lab below and watch the potential fall across each resistor. Then change the charge and notice what refuses to move: the voltage readings.<\/p>\n\n<div class=\"pf-sim-slot\"><div class=\"pf-sim-slot-header\"><span class=\"icon-dot\"><\/span><span class=\"label\">Potential Difference Lab<\/span><\/div><div class=\"pf-sim-slot-body\"><style>.pf-sim-frame{width:100%;border:none;height:600px}@media(max-width:760px){.pf-sim-frame{height:1000px}}<\/style><iframe src=\"\/labs\/potential-difference.html?embed=1\" class=\"pf-sim-frame\" loading=\"lazy\"><\/iframe><\/div><\/div>\n\n<h2>Why It Is Called a Difference, Not Just a Voltage<\/h2>\n\n<p>It is called a difference because a single point has no voltage of its own \u2014 only a voltage relative to somewhere else. Asking &#8220;what is the voltage here?&#8221; is like asking &#8220;how high is this?&#8221; without saying above what.<\/p>\n\n<p>This is where the crow comes back. Both its feet sit on the same conductor, a few centimetres apart, and that stretch of aluminium has almost no resistance. The potential difference across the bird is a few millivolts \u2014 so a few millivolts is all it has to work with.<\/p>\n\n<p>The line may sit 25,000 V above the ground. The crow does not care, because it never touches the ground. No difference, no energy transfer, no problem.<\/p>\n\n<p>Let one wing brush an earthed pylon, though, and 25,000 V suddenly appears across the bird. Same wire, same bird, catastrophically different outcome \u2014 because the <em>difference<\/em> changed.<\/p>\n<svg viewBox=\"0 0 700 400\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" role=\"img\" aria-label=\"Diagram explaining why a bird on a power line is safe: the potential difference between its feet is only a few millivolts, while the potential difference between the line and the ground is 25000 volts, but the bird never touches the ground\" style=\"width:100%;height:auto;\">\n    <rect x=\"0\" y=\"0\" width=\"700\" height=\"400\" fill=\"#F5F2EA\" rx=\"4\"><\/rect>\n    <text x=\"350\" y=\"32\" text-anchor=\"middle\" font-family=\"Manrope, Arial, sans-serif\" font-size=\"17\" font-weight=\"700\" fill=\"#0A1628\">Why the bird is safe: it only ever touches one potential<\/text>\n  \n    <line x1=\"30\" y1=\"155\" x2=\"670\" y2=\"155\" stroke=\"#0A1628\" stroke-width=\"6\"><\/line>\n    <text x=\"40\" y=\"143\" font-family=\"Manrope, Arial, sans-serif\" font-size=\"11\" fill=\"#0A1628\">25 kV line<\/text>\n  \n    <ellipse cx=\"336\" cy=\"117\" rx=\"30\" ry=\"19\" fill=\"#142139\"><\/ellipse>\n    <circle cx=\"364\" cy=\"100\" r=\"12\" fill=\"#142139\"><\/circle>\n    <polygon points=\"375,98 390,102 375,106\" fill=\"#C8932A\"><\/polygon>\n    <circle cx=\"367\" cy=\"97\" r=\"2\" fill=\"#FAF6EE\"><\/circle>\n    <ellipse cx=\"312\" cy=\"113\" rx=\"14\" ry=\"9\" fill=\"#0A1628\" transform=\"rotate(-18 312 113)\"><\/ellipse>\n    <line x1=\"328\" y1=\"134\" x2=\"326\" y2=\"152\" stroke=\"#0A1628\" stroke-width=\"2.5\"><\/line>\n    <line x1=\"348\" y1=\"134\" x2=\"350\" y2=\"152\" stroke=\"#0A1628\" stroke-width=\"2.5\"><\/line>\n    <circle cx=\"326\" cy=\"154\" r=\"4\" fill=\"#C8932A\"><\/circle>\n    <circle cx=\"350\" cy=\"154\" r=\"4\" fill=\"#C8932A\"><\/circle>\n  \n    <line x1=\"326\" y1=\"178\" x2=\"326\" y2=\"196\" stroke=\"#7A1F2B\" stroke-width=\"1.5\"><\/line>\n    <line x1=\"350\" y1=\"178\" x2=\"350\" y2=\"196\" stroke=\"#7A1F2B\" stroke-width=\"1.5\"><\/line>\n    <line x1=\"326\" y1=\"188\" x2=\"350\" y2=\"188\" stroke=\"#7A1F2B\" stroke-width=\"1.5\"><\/line>\n    <polygon points=\"328,188 335,185 335,191\" fill=\"#7A1F2B\"><\/polygon>\n    <polygon points=\"348,188 341,185 341,191\" fill=\"#7A1F2B\"><\/polygon>\n    <text x=\"338\" y=\"218\" text-anchor=\"middle\" font-family=\"Manrope, Arial, sans-serif\" font-size=\"12\" font-weight=\"700\" fill=\"#7A1F2B\">feet about 5 cm apart<\/text>\n    <text x=\"338\" y=\"238\" text-anchor=\"middle\" font-family=\"Manrope, Arial, sans-serif\" font-size=\"14\" font-weight=\"700\" fill=\"#7A1F2B\">p.d. between the feet: a few mV<\/text>\n    <text x=\"338\" y=\"256\" text-anchor=\"middle\" font-family=\"Manrope, Arial, sans-serif\" font-size=\"12\" fill=\"#0A1628\">tiny difference, so almost no current<\/text>\n  \n    <line x1=\"605\" y1=\"161\" x2=\"605\" y2=\"324\" stroke=\"#C8932A\" stroke-width=\"2\" stroke-dasharray=\"6 4\"><\/line>\n    <polygon points=\"605,332 598,318 612,318\" fill=\"#C8932A\"><\/polygon>\n    <text x=\"618\" y=\"228\" font-family=\"Manrope, Arial, sans-serif\" font-size=\"13\" font-weight=\"700\" fill=\"#C8932A\">25,000 V<\/text>\n    <text x=\"618\" y=\"245\" font-family=\"Manrope, Arial, sans-serif\" font-size=\"11\" fill=\"#0A1628\">line to<\/text>\n    <text x=\"618\" y=\"259\" font-family=\"Manrope, Arial, sans-serif\" font-size=\"11\" fill=\"#0A1628\">ground<\/text>\n  \n    <rect x=\"30\" y=\"284\" width=\"520\" height=\"52\" fill=\"#FAF6EE\" stroke=\"#D9CFB8\" stroke-width=\"1.5\" rx=\"3\"><\/rect>\n    <text x=\"290\" y=\"306\" text-anchor=\"middle\" font-family=\"Manrope, Arial, sans-serif\" font-size=\"12.5\" font-weight=\"700\" fill=\"#0A1628\">Voltage is never &#8220;in&#8221; the wire. It is always between two points.<\/text>\n    <text x=\"290\" y=\"326\" text-anchor=\"middle\" font-family=\"Manrope, Arial, sans-serif\" font-size=\"12.5\" fill=\"#7A1F2B\">No difference = no energy transfer.<\/text>\n  \n    <rect x=\"0\" y=\"350\" width=\"700\" height=\"50\" fill=\"#142139\"><\/rect>\n    <text x=\"350\" y=\"380\" text-anchor=\"middle\" font-family=\"Manrope, Arial, sans-serif\" font-size=\"13\" font-weight=\"700\" fill=\"#C5D0DC\">GROUND (0 V)<\/text>\n  <\/svg>\n\n<p style=\"text-align:center;font-size:14px;font-style:italic;color:#1F2E47;\">A bird on a power line touches only one potential, so the potential difference across it is a few millivolts \u2014 not 25,000 V.<\/p>\n\n<h2>Real-World Examples of Potential Difference<\/h2>\n\n<p>Potential difference spans an absurd range in everyday life \u2014 from the tens of millivolts that run your nervous system to the hundreds of millions of volts in a thunderstorm. Same quantity, same formula, ten orders of magnitude apart.<\/p>\n\n<p><strong>1. The AA cell in your remote (1.5 V).<\/strong> Every coulomb that leaves the terminal carries 1.5 J. That is the entire promise printed on the label.<\/p>\n\n<p><strong>2. A car battery (12 V).<\/strong> Six 2 V cells in series, stacked so their potential differences add. A fresh one actually reads closer to 12.6 V, which is why &#8220;12 V&#8221; is a nickname rather than a measurement.<\/p>\n\n<p><strong>3. Mains electricity (230 V in the UK, 120 V in the US).<\/strong> Each coulomb arrives carrying 230 J \u2014 roughly 150 times what a AA cell offers. This is genuinely lethal and is not something to test experimentally.<\/p>\n\n<p><strong>4. A nerve cell (about 70 mV).<\/strong> Your neurons hold a potential difference across a membrane just a few nanometres thick. Small voltage, but over that tiny distance the electric field is enormous \u2014 and every thought you have depends on it.<\/p>\n\n<p><strong>5. A lightning flash (about 300 million V).<\/strong> NOAA&#8217;s National Weather Service puts a typical flash at <a href=\"https:\/\/www.weather.gov\/safety\/lightning-power\" target=\"_blank\" rel=\"noopener\">roughly 300 million volts and 30,000 amps<\/a>, against 120 V and 15 A for household current.<\/p>\n\n<div class=\"pf-table-scroll\" style=\"display:block;width:100%;max-width:100%;overflow-x:auto;-webkit-overflow-scrolling:touch;margin:1.5em 0;\">\n<table style=\"width:100%;border-collapse:collapse;word-break:break-word;\">\n<thead>\n<tr style=\"background:#0A1628;color:#FAF6EE;\">\n<th style=\"padding:10px;border:1px solid #D9CFB8;text-align:left;\">Source<\/th>\n<th style=\"padding:10px;border:1px solid #D9CFB8;text-align:left;\">Typical potential difference<\/th>\n<th style=\"padding:10px;border:1px solid #D9CFB8;text-align:left;\">Energy carried by each coulomb<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr><td style=\"padding:10px;border:1px solid #D9CFB8;\">Nerve cell membrane (resting)<\/td><td style=\"padding:10px;border:1px solid #D9CFB8;\">about 70 mV<\/td><td style=\"padding:10px;border:1px solid #D9CFB8;\">0.07 J<\/td><\/tr>\n<tr style=\"background:#F5F2EA;\"><td style=\"padding:10px;border:1px solid #D9CFB8;\">AA alkaline cell<\/td><td style=\"padding:10px;border:1px solid #D9CFB8;\">1.5 V<\/td><td style=\"padding:10px;border:1px solid #D9CFB8;\">1.5 J<\/td><\/tr>\n<tr><td style=\"padding:10px;border:1px solid #D9CFB8;\">USB port<\/td><td style=\"padding:10px;border:1px solid #D9CFB8;\">5 V<\/td><td style=\"padding:10px;border:1px solid #D9CFB8;\">5 J<\/td><\/tr>\n<tr style=\"background:#F5F2EA;\"><td style=\"padding:10px;border:1px solid #D9CFB8;\">Car battery<\/td><td style=\"padding:10px;border:1px solid #D9CFB8;\">12 V<\/td><td style=\"padding:10px;border:1px solid #D9CFB8;\">12 J<\/td><\/tr>\n<tr><td style=\"padding:10px;border:1px solid #D9CFB8;\">Mains (US)<\/td><td style=\"padding:10px;border:1px solid #D9CFB8;\">120 V<\/td><td style=\"padding:10px;border:1px solid #D9CFB8;\">120 J<\/td><\/tr>\n<tr style=\"background:#F5F2EA;\"><td style=\"padding:10px;border:1px solid #D9CFB8;\">Mains (UK)<\/td><td style=\"padding:10px;border:1px solid #D9CFB8;\">230 V<\/td><td style=\"padding:10px;border:1px solid #D9CFB8;\">230 J<\/td><\/tr>\n<tr><td style=\"padding:10px;border:1px solid #D9CFB8;\">Overhead distribution line<\/td><td style=\"padding:10px;border:1px solid #D9CFB8;\">25 kV<\/td><td style=\"padding:10px;border:1px solid #D9CFB8;\">25,000 J<\/td><\/tr>\n<tr style=\"background:#F5F2EA;\"><td style=\"padding:10px;border:1px solid #D9CFB8;\">Lightning flash<\/td><td style=\"padding:10px;border:1px solid #D9CFB8;\">about 300 million V<\/td><td style=\"padding:10px;border:1px solid #D9CFB8;\">about 300 million J<\/td><\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n\n<h2>Potential Difference vs EMF: What Is the Difference?<\/h2>\n\n<p>EMF is the energy per coulomb a source <em>gives<\/em> to charge; potential difference is the energy per coulomb a component <em>takes<\/em> from it. Both are measured in volts, and that shared unit is exactly why students blur them together.<\/p>\n\n<p>A cell converts chemical energy into electrical energy \u2014 that is its EMF, symbol \u03b5. A lamp converts electrical energy into light and heat \u2014 that is a potential difference. Same currency, opposite direction of trade.<\/p>\n\n<p>The distinction earns its keep the moment a cell has internal resistance. Some of the energy never escapes the cell; it is dissipated inside it. What you actually measure at the terminals is therefore always a little less than the EMF.<\/p>\n\n<div class=\"pf-table-scroll\" style=\"display:block;width:100%;max-width:100%;overflow-x:auto;-webkit-overflow-scrolling:touch;margin:1.5em 0;\">\n<table style=\"width:100%;border-collapse:collapse;word-break:break-word;\">\n<thead>\n<tr style=\"background:#0A1628;color:#FAF6EE;\">\n<th style=\"padding:10px;border:1px solid #D9CFB8;text-align:left;\">Feature<\/th>\n<th style=\"padding:10px;border:1px solid #D9CFB8;text-align:left;\">Potential difference<\/th>\n<th style=\"padding:10px;border:1px solid #D9CFB8;text-align:left;\">Electromotive force (EMF)<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr><td style=\"padding:10px;border:1px solid #D9CFB8;\"><strong>Symbol<\/strong><\/td><td style=\"padding:10px;border:1px solid #D9CFB8;\">V<\/td><td style=\"padding:10px;border:1px solid #D9CFB8;\">\u03b5<\/td><\/tr>\n<tr style=\"background:#F5F2EA;\"><td style=\"padding:10px;border:1px solid #D9CFB8;\"><strong>Energy direction<\/strong><\/td><td style=\"padding:10px;border:1px solid #D9CFB8;\">Electrical energy converted <em>out<\/em>, per coulomb<\/td><td style=\"padding:10px;border:1px solid #D9CFB8;\">Other energy converted <em>into<\/em> electrical, per coulomb<\/td><\/tr>\n<tr><td style=\"padding:10px;border:1px solid #D9CFB8;\"><strong>Measured across<\/strong><\/td><td style=\"padding:10px;border:1px solid #D9CFB8;\">A component (lamp, resistor, motor)<\/td><td style=\"padding:10px;border:1px solid #D9CFB8;\">A source (cell, generator, solar panel)<\/td><\/tr>\n<tr style=\"background:#F5F2EA;\"><td style=\"padding:10px;border:1px solid #D9CFB8;\"><strong>Defining equation<\/strong><\/td><td style=\"padding:10px;border:1px solid #D9CFB8;\">V = W \/ Q<\/td><td style=\"padding:10px;border:1px solid #D9CFB8;\">\u03b5 = E \/ Q<\/td><\/tr>\n<tr><td style=\"padding:10px;border:1px solid #D9CFB8;\"><strong>Unit<\/strong><\/td><td style=\"padding:10px;border:1px solid #D9CFB8;\">volt (V)<\/td><td style=\"padding:10px;border:1px solid #D9CFB8;\">volt (V)<\/td><\/tr>\n<tr style=\"background:#F5F2EA;\"><td style=\"padding:10px;border:1px solid #D9CFB8;\"><strong>In a real cell<\/strong><\/td><td style=\"padding:10px;border:1px solid #D9CFB8;\">Terminal p.d. V = \u03b5 \u2212 Ir<\/td><td style=\"padding:10px;border:1px solid #D9CFB8;\">\u03b5 = I(R + r)<\/td><\/tr>\n<tr><td style=\"padding:10px;border:1px solid #D9CFB8;\"><strong>Is it a force?<\/strong><\/td><td style=\"padding:10px;border:1px solid #D9CFB8;\">No \u2014 energy per charge<\/td><td style=\"padding:10px;border:1px solid #D9CFB8;\">No, despite the name \u2014 energy per charge<\/td><\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n\n<p>That last row is not pedantry. &#8220;Electromotive force&#8221; is a historical misnomer that survives out of habit: EMF is measured in volts, not newtons, and it is not a force at all.<\/p>\n\n<figure style=\"margin:32px auto;max-width:600px;text-align:center;\">\n\n  <img decoding=\"async\" src=\"https:\/\/physicsfundamentalsinfo.com\/blog\/wp-content\/uploads\/2026\/07\/Alessandro-Volta-two-inventions-electrophorus-battery.webp\"\n\n       alt=\"Alessandro Volta, whose voltaic pile was the first steady source of potential difference\"\n\n       loading=\"lazy\"\n\n       style=\"width:100%;height:auto;border-radius:4px;\" \/>\n\n  <figcaption style=\"font-size:13px;color:#1F2E47;font-style:italic;margin-top:8px;\">Alessandro Volta. His 1800 voltaic pile was the first device to hold a steady potential difference \u2014 and the volt carries his name.<\/figcaption>\n\n<\/figure>\n\n<h2>3 Common Misconceptions About Potential Difference<\/h2>\n\n<h3>Myth 1: &#8220;Voltage flows through a component&#8221;<\/h3>\n\n<p>Voltage does not flow anywhere \u2014 charge flows, and voltage is the difference that drives it. Current goes <em>through<\/em> a lamp; potential difference sits <em>across<\/em> it.<\/p>\n\n<p>This is not just wording. It is why an ammeter goes in series and a voltmeter goes in parallel: one counts charge passing a point, the other compares two points.<\/p>\n\n<h3>Myth 2: &#8220;Voltage gets used up by the first component&#8221;<\/h3>\n\n<p>Voltage is not a fluid that drains as it travels. In a series circuit the supply p.d. is <em>shared<\/em> between components in proportion to their resistance, and the shares always add back up to the supply.<\/p>\n\n<p>Put 4 \u03a9 and 8 \u03a9 across 12 V and you get 4 V and 8 V. Not because the first resistor &#8220;used some up&#8221;, but because each coulomb hands over energy in proportion to the resistance it meets. Swap the resistors and the shares swap with them.<\/p>\n\n<h3>Myth 3: &#8220;High voltage is what kills you&#8221;<\/h3>\n\n<p>Voltage alone does not determine danger \u2014 the current driven through your body, and the path it takes, do. A Van de Graaff generator can sit at hundreds of thousands of volts and merely lift your hair, because it can supply almost no charge.<\/p>\n\n<p>The reverse also holds, and it matters more. Mains at 230 V is lethal precisely because it <em>can<\/em> push amps through you indefinitely. Low number, deadly source \u2014 never judge a supply by its voltage alone.<\/p>\n\n<h2>How Potential Difference Relates to Current, Resistance and Power<\/h2>\n\n<p>Potential difference is the driver; current is the response; resistance is the obstruction. Fix any two and the third follows.<\/p>\n\n<p>For an ohmic conductor at constant temperature, those three lock together in <a href=\"https:\/\/physicsfundamentalsinfo.com\/blog\/electromagnetism\/ohms-law\/\">Ohm&#8217;s law<\/a>, V = IR \u2014 which is a <em>relationship<\/em>, not a definition. V = W\/Q defines what voltage <em>is<\/em>; V = IR only tells you what it does in a particular kind of conductor.<\/p>\n\n<p>That distinction rescues you when a component is non-ohmic. A filament lamp or a diode breaks V = IR completely \u2014 yet V = W\/Q still holds perfectly, because it is a definition and definitions do not break.<\/p>\n\n<p>Current links in through I = Q\/t. Substitute Q = It into W = QV and you get W = VIt, and dividing by time gives the power equation:<\/p>\n\n<div class=\"pf-formula\">P = VI<\/div>\n\n<ul>\n<li><strong>P<\/strong> \u2014 power, in <strong>watts (W)<\/strong><\/li>\n<li><strong>V<\/strong> \u2014 potential difference, in <strong>volts (V)<\/strong><\/li>\n<li><strong>I<\/strong> \u2014 current, in <strong>amperes (A)<\/strong><\/li>\n<\/ul>\n\n<p>So a 230 V kettle drawing 10 A converts 2,300 J every second. Multiply volts by amps and you have watts \u2014 the whole of domestic electricity in one line.<\/p>\n\n<h2>Worked Problems<\/h2>\n\n<div class=\"pf-problem\"><div class=\"pf-problem-num\">Problem 1<\/div><div class=\"pf-problem-question\">A lamp transfers 24 J of energy when 2.0 C of charge passes through it. Calculate the potential difference across the lamp.<\/div><details><summary>Show Solution<\/summary><div class=\"pf-problem-solution\">\n\n<strong>Solution:<\/strong>\n\nStep 1: Potential difference is energy per unit charge: V = W \/ Q\n\nStep 2: Substitute with units: V = 24 J \/ 2.0 C\n\nStep 3: Solve: V = 12 J\/C\n\n<strong>Answer: 12 V<\/strong>\n\n<\/div><\/details><\/div>\n\n<div class=\"pf-problem\"><div class=\"pf-problem-num\">Problem 2<\/div><div class=\"pf-problem-question\">A 9.0 V battery drives 5.0 C of charge around a circuit. How much energy does the battery transfer?<\/div><details><summary>Show Solution<\/summary><div class=\"pf-problem-solution\">\n\n<strong>Solution:<\/strong>\n\nStep 1: Rearrange V = W \/ Q to make W the subject: W = QV\n\nStep 2: Substitute with units: W = 5.0 C \u00d7 9.0 V\n\nStep 3: Solve: W = 45 C\u00b7V = 45 J\n\n<strong>Answer: 45 J<\/strong>\n\n<\/div><\/details><\/div>\n\n<div class=\"pf-problem\"><div class=\"pf-problem-num\">Problem 3<\/div><div class=\"pf-problem-question\">A resistor transfers 150 J of energy while the potential difference across it is 6.0 V. How much charge passed through the resistor?<\/div><details><summary>Show Solution<\/summary><div class=\"pf-problem-solution\">\n\n<strong>Solution:<\/strong>\n\nStep 1: Rearrange V = W \/ Q to make Q the subject: Q = W \/ V\n\nStep 2: Substitute with units: Q = 150 J \/ 6.0 V\n\nStep 3: Solve: Q = 25 J\/V = 25 C\n\n<strong>Answer: 25 C<\/strong>\n\n<\/div><\/details><\/div>\n\n<div class=\"pf-problem\"><div class=\"pf-problem-num\">Problem 4<\/div><div class=\"pf-problem-question\">A current of 0.50 A flows for 20 s through a component with 12 V across it. Calculate (a) the charge that passes, and (b) the energy transferred.<\/div><details><summary>Show Solution<\/summary><div class=\"pf-problem-solution\">\n\n<strong>Solution:<\/strong>\n\nStep 1: Charge is current \u00d7 time: Q = It\n\nStep 2: Substitute: Q = 0.50 A \u00d7 20 s = 10 C\n\nStep 3: Energy is W = QV = 10 C \u00d7 12 V = 120 J\n\nStep 4: Sanity check via power: P = VI = 12 \u00d7 0.50 = 6.0 W, and W = Pt = 6.0 \u00d7 20 = 120 J \u2014 agrees.\n\n<strong>Answer: (a) 10 C  (b) 120 J<\/strong>\n\n<\/div><\/details><\/div>\n\n<div class=\"pf-problem\"><div class=\"pf-problem-num\">Problem 5<\/div><div class=\"pf-problem-question\">A 4.0 ohm resistor and an 8.0 ohm resistor are connected in series across a 12 V supply. Calculate the potential difference across each resistor.<\/div><details><summary>Show Solution<\/summary><div class=\"pf-problem-solution\">\n\n<strong>Solution:<\/strong>\n\nStep 1: In series the resistances add: R = 4.0 + 8.0 = 12 \u03a9. The current is the same everywhere.\n\nStep 2: Find the current: I = V \/ R = 12 V \/ 12 \u03a9 = 1.0 A\n\nStep 3: Apply V = IR to each: V<sub>1<\/sub> = 1.0 \u00d7 4.0 = 4.0 V, and V<sub>2<\/sub> = 1.0 \u00d7 8.0 = 8.0 V\n\nStep 4: Check: 4.0 + 8.0 = 12 V, equal to the supply \u2014 as the loop rule demands.\n\n<strong>Answer: 4.0 V across the 4.0 \u03a9, and 8.0 V across the 8.0 \u03a9<\/strong>\n\n<\/div><\/details><\/div>\n\n<div class=\"pf-problem\"><div class=\"pf-problem-num\">Problem 6<\/div><div class=\"pf-problem-question\">A cell of EMF 1.5 V has an internal resistance of 0.50 ohm and delivers a current of 0.20 A. Calculate the terminal potential difference.<\/div><details><summary>Show Solution<\/summary><div class=\"pf-problem-solution\">\n\n<strong>Solution:<\/strong>\n\nStep 1: Some energy is dissipated inside the cell, so terminal p.d. = EMF \u2212 lost volts: V = \u03b5 \u2212 Ir\n\nStep 2: Substitute with units: V = 1.5 V \u2212 (0.20 A \u00d7 0.50 \u03a9)\n\nStep 3: Solve: V = 1.5 \u2212 0.10 = 1.4 V\n\n<strong>Answer: 1.4 V \u2014 slightly below the 1.5 V EMF, which is why a loaded cell always reads low<\/strong>\n\n<\/div><\/details><\/div>\n\n<div class=\"pf-problem\"><div class=\"pf-problem-num\">Problem 7<\/div><div class=\"pf-problem-question\">An electron starts from rest and is accelerated through a potential difference of 500 V. Calculate its kinetic energy and final speed. Take e = 1.60 x 10^-19 C and the electron mass = 9.11 x 10^-31 kg.<\/div><details><summary>Show Solution<\/summary><div class=\"pf-problem-solution\">\n\n<strong>Solution:<\/strong>\n\nStep 1: Work done on the charge is W = QV, and all of it becomes kinetic energy.\n\nStep 2: Substitute: W = (1.60 \u00d7 10<sup>-19<\/sup> C) \u00d7 (500 V) = 8.0 \u00d7 10<sup>-17<\/sup> J\n\nStep 3: Set this equal to kinetic energy: \u00bdmv\u00b2 = 8.0 \u00d7 10<sup>-17<\/sup> J\n\nStep 4: Rearrange for v: v = sqrt(2W \/ m) = sqrt(2 \u00d7 8.0 \u00d7 10<sup>-17<\/sup> \/ 9.11 \u00d7 10<sup>-31<\/sup>)\n\nStep 5: Solve: v = sqrt(1.76 \u00d7 10<sup>14<\/sup>) = 1.3 \u00d7 10<sup>7<\/sup> m\/s\n\nStep 6: Sanity check: that is about 4% of the speed of light, so ignoring relativity was fair.\n\n<strong>Answer: 8.0 \u00d7 10<sup>-17<\/sup> J, and 1.3 \u00d7 10<sup>7<\/sup> m\/s<\/strong>\n\n<\/div><\/details><\/div>\n\n<h2>Frequently Asked Questions<\/h2>\n\n<details class=\"pf-faq-item\"><summary>What is potential difference in simple terms?<\/summary><div class=\"pf-faq-item-answer\">\n\nPotential difference is how much energy each unit of charge carries between two points. If a lamp has 6 V across it, every coulomb of charge passing through hands over 6 joules. It is energy per coulomb \u2014 nothing more exotic than that, and it always refers to two points, never one.\n\n<\/div><\/details>\n\n<details class=\"pf-faq-item\"><summary>What is the difference between voltage and potential difference?<\/summary><div class=\"pf-faq-item-answer\">\n\nThere is no physical difference \u2014 &#8220;voltage&#8221; is simply the everyday word for potential difference. Both mean energy transferred per unit charge, both use the formula V = W\/Q, and both are measured in volts. Exam boards tend to prefer &#8220;potential difference&#8221; because the word difference reminds you that two points are always involved.\n\n<\/div><\/details>\n\n<details class=\"pf-faq-item\"><summary>Is potential difference the same as EMF?<\/summary><div class=\"pf-faq-item-answer\">\n\nNo \u2014 EMF is energy converted into electrical form per coulomb by a source, while potential difference is energy converted out of electrical form per coulomb by a component. Both are measured in volts, which is why they get confused. For a real cell with internal resistance r, the terminal potential difference is V = \u03b5 \u2212 Ir, always slightly less than the EMF.\n\n<\/div><\/details>\n\n<details class=\"pf-faq-item\"><summary>What is the unit of potential difference?<\/summary><div class=\"pf-faq-item-answer\">\n\nThe unit of potential difference is the volt (V), where one volt equals one joule per coulomb. It is named after Alessandro Volta, who built the first battery in 1800. In SI base units the volt works out as kg\u00b7m\u00b2\/(s\u00b3\u00b7A), but 1 V = 1 J\/C is the form worth memorising because it restates the definition directly.\n\n<\/div><\/details>\n\n<details class=\"pf-faq-item\"><summary>How do you measure potential difference?<\/summary><div class=\"pf-faq-item-answer\">\n\nYou measure potential difference with a voltmeter connected in parallel across the component. It must be in parallel because a potential difference is a comparison between two points, and the voltmeter needs a probe on each. An ideal voltmeter has infinite resistance so it draws no current and does not disturb the circuit it is measuring.\n\n<\/div><\/details>\n\n<details class=\"pf-faq-item\"><summary>Can potential difference be negative?<\/summary><div class=\"pf-faq-item-answer\">\n\nYes \u2014 the sign simply tells you which point sits at the higher potential. V<sub>AB<\/sub> = V<sub>A<\/sub> \u2212 V<sub>B<\/sub>, so if B is higher than A the answer comes out negative, and reversing the probes flips the sign. A negative reading is a direction, not an error; a nerve cell&#8217;s resting potential of about \u221270 mV is a routine example.\n\n<\/div><\/details>\n\n<details class=\"pf-faq-item\"><summary>Why don&#039;t birds get electrocuted on power lines?<\/summary><div class=\"pf-faq-item-answer\">\n\nBecause both feet touch the same conductor, so the potential difference across the bird is only a few millivolts. The wire has almost no resistance over the few centimetres between its feet, and without a difference there is no energy transfer and essentially no current. The bird sits 25,000 V above the ground, but it never touches the ground to complete a circuit.\n\n<\/div><\/details>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Potential difference is the energy transferred per coulomb of charge between two points, defined by V = W\/Q and measured in volts. This guide covers the formula, worked examples, three common myths, and why a bird on a power line is safe.<\/p>\n","protected":false},"author":1,"featured_media":567,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[5],"tags":[],"class_list":["post-565","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-electromagnetism"],"_links":{"self":[{"href":"https:\/\/physicsfundamentalsinfo.com\/blog\/wp-json\/wp\/v2\/posts\/565","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/physicsfundamentalsinfo.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/physicsfundamentalsinfo.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/physicsfundamentalsinfo.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/physicsfundamentalsinfo.com\/blog\/wp-json\/wp\/v2\/comments?post=565"}],"version-history":[{"count":1,"href":"https:\/\/physicsfundamentalsinfo.com\/blog\/wp-json\/wp\/v2\/posts\/565\/revisions"}],"predecessor-version":[{"id":568,"href":"https:\/\/physicsfundamentalsinfo.com\/blog\/wp-json\/wp\/v2\/posts\/565\/revisions\/568"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/physicsfundamentalsinfo.com\/blog\/wp-json\/wp\/v2\/media\/567"}],"wp:attachment":[{"href":"https:\/\/physicsfundamentalsinfo.com\/blog\/wp-json\/wp\/v2\/media?parent=565"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/physicsfundamentalsinfo.com\/blog\/wp-json\/wp\/v2\/categories?post=565"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/physicsfundamentalsinfo.com\/blog\/wp-json\/wp\/v2\/tags?post=565"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}