{"id":372,"date":"2026-06-30T00:45:03","date_gmt":"2026-06-30T00:45:03","guid":{"rendered":"https:\/\/physicsfundamentalsinfo.com\/blog\/?p=372"},"modified":"2026-08-24T13:04:19","modified_gmt":"2026-08-24T13:04:19","slug":"static-electricity","status":"publish","type":"post","link":"https:\/\/physicsfundamentalsinfo.com\/blog\/electromagnetism\/static-electricity\/","title":{"rendered":"What Is Static Electricity?"},"content":{"rendered":"\n<div class=\"pf-citation\"><div class=\"eyebrow\">Definition<\/div><p>\nStatic electricity is the build-up of stationary electric charge on the surface of a material, caused by an imbalance of electrons after two surfaces touch and then separate. A surface that gains electrons becomes negatively charged; one that loses them becomes positively charged. The force between such charges follows Coulomb&#8217;s law, F = kq<sub>1<\/sub>q<sub>2<\/sub>\/r<sup>2<\/sup>.\n<\/p><\/div>\n\n<p>Reach for a metal door handle on a dry winter morning and \u2014 <em>snap<\/em> \u2014 a tiny blue spark leaps to your fingertip. Tug a jumper over your head in a dark room and you may hear it crackle, even glimpse faint sparks against your hair. That sting and crackle is static electricity announcing itself.<\/p>\n\n<p>It is the same effect that glues a balloon to the wall, pulls dust onto a TV screen, and \u2014 blown up to monstrous size inside a thundercloud \u2014 hurls a bolt of lightning at the ground. To understand all of it, we have to start with something almost unimaginably small: the electron.<\/p>\n\n<h2>What Is Static Electricity?<\/h2>\n\n<p>Everything around you is built from atoms, and every atom carries two kinds of electric charge: positive protons locked in its core, and negative electrons whizzing around the outside. In a normal object the two balance exactly, so the object is neutral and you notice nothing.<\/p>\n\n<p>Static electricity appears when that balance is broken. Move some electrons from one object to another and the tally no longer matches: the object that lost electrons is left positive, and the object that gained them turns negative. That stranded, unmoving charge is what the word &#8220;static&#8221; means \u2014 electricity at rest.<\/p>\n\n<p>This is the key contrast. In the wires of a torch or a phone charger, charge flows steadily as an electric current. In static electricity the charge simply sits on a surface, sometimes for hours, waiting. It stays put until it finds a route to even itself out \u2014 and that release is the spark you feel.<\/p>\n\n<p>One rule never bends: charge is never created or destroyed, only moved. The electrons that make your hair stand up did not appear from nowhere; they were borrowed from the balloon. Physicists call this the conservation of charge, and it underpins everything that follows.<\/p>\n\n<h2>The Static Electricity Formula: Coulomb&#8217;s Law<\/h2>\n\n<p>Static charges do not just sit there politely \u2014 they push and pull on one another. The strength of that push or pull is set by Coulomb&#8217;s law, the central equation of electrostatics.<\/p>\n\n<div class=\"pf-formula\">F = kq<sub>1<\/sub>q<sub>2<\/sub>\/r<sup>2<\/sup><\/div>\n\n<p>Each symbol has a precise meaning and unit:<\/p>\n\n<ul>\n  <li><strong>F<\/strong> \u2014 the electrostatic force between the two charges, measured in newtons (N).<\/li>\n  <li><strong>k<\/strong> \u2014 Coulomb&#8217;s constant, \u2248 8.99 \u00d7 10<sup>9<\/sup> N\u00b7m<sup>2<\/sup>\/C<sup>2<\/sup> (it sets the sheer strength of the electric force).<\/li>\n  <li><strong>q<sub>1<\/sub>, q<sub>2<\/sub><\/strong> \u2014 the sizes of the two charges, measured in coulombs (C).<\/li>\n  <li><strong>r<\/strong> \u2014 the distance between the centres of the two charges, measured in metres (m).<\/li>\n<\/ul>\n\n<p>Notice the <strong>r<sup>2<\/sup><\/strong> on the bottom. Because the force depends on one over the distance squared, separation matters enormously: double the gap and the force drops to a quarter; halve it and the force quadruples. A common student slip is to drop centimetres straight into the formula \u2014 always convert <strong>r<\/strong> to metres first, or the answer lands orders of magnitude out.<\/p>\n\n<p>There is a second, simpler relationship hiding behind the scenes. Since charge comes in whole electrons, the total charge on an object is just the number of spare electrons multiplied by the charge each one carries:<\/p>\n\n<div class=\"pf-formula\">Q = ne<\/div>\n\n<ul>\n  <li><strong>Q<\/strong> \u2014 the net charge on the object, in coulombs (C).<\/li>\n  <li><strong>n<\/strong> \u2014 the number of excess (or missing) electrons \u2014 a plain count.<\/li>\n  <li><strong>e<\/strong> \u2014 the elementary charge, 1.602 \u00d7 10<sup>\u221219<\/sup> C, the charge of a single electron or proton.<\/li>\n<\/ul>\n\n<p>In practice the charges in everyday static are tiny \u2014 a few nanocoulombs to a few microcoulombs \u2014 which is why the forces, though plenty to lift your hair, stay gentle.<\/p>\n\n<figure class=\"pf-figure\" style=\"margin:1.6em 0;\"><img src=\"https:\/\/physicsfundamentalsinfo.com\/blog\/wp-content\/uploads\/2026\/08\/static-electricity-coulombs-law-two-like-positive.webp\" width=\"1440\" height=\"640\" alt=\"Static electricity - Coulomb's law diagram: two like positive charges repel with force arrows pointing apart, and a positive and a negative charge attract with force arrows pointing together, separated by a distance r\" loading=\"lazy\" decoding=\"async\" style=\"width:100%;height:auto;max-width:720px;display:block;margin:0 auto;\" \/><\/figure>\n<p style=\"text-align:center;font-size:13px;color:#1F2E47;font-style:italic;margin-top:6px;\">Coulomb&#8217;s law gives the size of the force; the signs of the charges decide its direction \u2014 like charges repel, opposite charges attract.<\/p>\n\n<p>The lab below lets you feel this for yourself. Drag the charges and the separation, and watch the force rise and fall as the numbers change.<\/p>\n\n<div class=\"pf-sim-slot\"><div class=\"pf-sim-slot-header\"><span class=\"icon-dot\"><\/span><span class=\"label\">Coulomb&#039;s Law Lab<\/span><\/div><div class=\"pf-sim-slot-body\"><style>.pf-sim-frame{width:100%;border:none;height:560px}@media(max-width:760px){.pf-sim-frame{height:840px}}<\/style><iframe src=\"\/labs\/coulombs-law.html?embed=1\" class=\"pf-sim-frame\" loading=\"lazy\"><\/iframe><\/div><\/div>\n\n<p>Want a number fast? Drop your values into our <a href=\"https:\/\/physicsfundamentalsinfo.com\/calculators\/coulombs-law\">Coulomb&#8217;s Law Calculator<\/a>, which converts units for you and shows the working step by step. For the full derivation and the story of how Charles-Augustin de Coulomb measured it, see our <a href=\"https:\/\/physicsfundamentalsinfo.com\/blog\/electromagnetism\/coulombs-law\/\">guide to Coulomb&#8217;s law<\/a>.<\/p>\n\n<h2>How Static Electricity Works<\/h2>\n\n<p>Why do electrons move at all? The answer is that they are held far more loosely than protons. Protons are buried deep in the atomic nucleus and stay put. The outer electrons, by contrast, can be coaxed away when two surfaces meet \u2014 and that single fact explains almost every static effect you have ever seen.<\/p>\n\n<h3>Contact and separation \u2014 the triboelectric effect<\/h3>\n\n<p>Press two different materials together and, where they touch, electrons drift from one into the other. Pull the surfaces apart quickly and some of those electrons are stranded on the new material. The donor is left positive; the receiver is left negative. Scientists call this the triboelectric effect.<\/p>\n\n<p>Here is the part textbooks often blur: the magic is contact and separation, not friction itself. Rubbing simply presses far more of the two surfaces together, so more electrons change hands \u2014 but a firm touch and a clean pull can charge an object too.<\/p>\n\n<figure class=\"pf-figure\" style=\"margin:1.6em 0;\"><img src=\"https:\/\/physicsfundamentalsinfo.com\/blog\/wp-content\/uploads\/2026\/08\/static-electricity-triboelectric-effect-before-contact-wool.webp\" width=\"1440\" height=\"762\" alt=\"Static electricity - Diagram of the triboelectric effect: before contact wool and a rubber rod are both neutral; after rubbing and separating, electrons have moved from wool to rubber, leaving the wool positively charged and the rubber negatively...\" loading=\"lazy\" decoding=\"async\" style=\"width:100%;height:auto;max-width:720px;display:block;margin:0 auto;\" \/><\/figure>\n<p style=\"text-align:center;font-size:13px;color:#1F2E47;font-style:italic;margin-top:6px;\">Rubbing wool against rubber transfers electrons, leaving one surface positive and the other negative.<\/p>\n\n<h3>Which material ends up positive?<\/h3>\n\n<p>Whether a material grabs electrons or gives them up depends on what it is paired with. The triboelectric series ranks materials from those that readily lose electrons (becoming positive) to those that greedily collect them (becoming negative). Rub two of them together and the higher one charges positive, the lower one negative.<\/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;\">\n<thead>\n<tr style=\"background:#142139;color:#FAF6EE;\">\n<th style=\"padding:10px;border:1px solid #D9CFB8;text-align:left;\">Material (top = most positive)<\/th>\n<th style=\"padding:10px;border:1px solid #D9CFB8;text-align:left;\">Charging tendency when rubbed<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr><td style=\"padding:10px;border:1px solid #D9CFB8;\">Human skin &amp; hair<\/td><td style=\"padding:10px;border:1px solid #D9CFB8;\">Strongly loses electrons \u2192 becomes positive ( + )<\/td><\/tr>\n<tr><td style=\"padding:10px;border:1px solid #D9CFB8;\">Glass<\/td><td style=\"padding:10px;border:1px solid #D9CFB8;\">Loses electrons \u2192 positive ( + )<\/td><\/tr>\n<tr><td style=\"padding:10px;border:1px solid #D9CFB8;\">Nylon<\/td><td style=\"padding:10px;border:1px solid #D9CFB8;\">Loses electrons \u2192 positive ( + )<\/td><\/tr>\n<tr><td style=\"padding:10px;border:1px solid #D9CFB8;\">Wool<\/td><td style=\"padding:10px;border:1px solid #D9CFB8;\">Tends positive ( + )<\/td><\/tr>\n<tr><td style=\"padding:10px;border:1px solid #D9CFB8;\">Silk<\/td><td style=\"padding:10px;border:1px solid #D9CFB8;\">Slightly positive ( + )<\/td><\/tr>\n<tr><td style=\"padding:10px;border:1px solid #D9CFB8;\">Cotton<\/td><td style=\"padding:10px;border:1px solid #D9CFB8;\">Roughly neutral<\/td><\/tr>\n<tr><td style=\"padding:10px;border:1px solid #D9CFB8;\">Steel<\/td><td style=\"padding:10px;border:1px solid #D9CFB8;\">Roughly neutral (a reference point)<\/td><\/tr>\n<tr><td style=\"padding:10px;border:1px solid #D9CFB8;\">Rubber (balloon, hard rubber)<\/td><td style=\"padding:10px;border:1px solid #D9CFB8;\">Gains electrons \u2192 negative ( \u2013 )<\/td><\/tr>\n<tr><td style=\"padding:10px;border:1px solid #D9CFB8;\">Polyester<\/td><td style=\"padding:10px;border:1px solid #D9CFB8;\">Gains electrons \u2192 negative ( \u2013 )<\/td><\/tr>\n<tr><td style=\"padding:10px;border:1px solid #D9CFB8;\">PVC (vinyl)<\/td><td style=\"padding:10px;border:1px solid #D9CFB8;\">Strongly gains electrons \u2192 negative ( \u2013 )<\/td><\/tr>\n<tr><td style=\"padding:10px;border:1px solid #D9CFB8;\">Teflon (PTFE)<\/td><td style=\"padding:10px;border:1px solid #D9CFB8;\">Most strongly negative ( \u2013 )<\/td><\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n\n<p>Treat this as a guide, not gospel. The exact ordering shifts with surface roughness, cleanliness and humidity, so different references disagree on the fine detail \u2014 a point made plainly in <a href=\"https:\/\/sciencedemonstrations.fas.harvard.edu\/presentations\/triboelectric-effects\" target=\"_blank\" rel=\"noopener\">Harvard&#8217;s lecture-demonstration notes<\/a>. The big picture, though, is reliable: hair and wool charge positive, plastics like PVC and Teflon charge negative.<\/p>\n\n<h3>Why some objects hold charge and others don&#8217;t<\/h3>\n\n<p>Materials split into two camps. In insulators \u2014 rubber, plastic, glass, dry hair \u2014 electrons are stuck where they land, so charge piles up and lingers. In conductors, especially metals, electrons roam freely, so any extra charge spreads out and drains away the instant it can.<\/p>\n\n<p>That is why static loves a plastic comb but not a metal spoon you are holding: the spoon&#8217;s charge escapes through your hand. It also explains the weather. On a humid day a thin film of water on every surface quietly conducts charge away, so static barely builds. On a bone-dry winter day there is nowhere for it to go \u2014 it accumulates until it discharges in a snap.<\/p>\n\n<h2>Real-World Examples of Static Electricity<\/h2>\n\n<p><strong>1. The doorknob zap.<\/strong> Shuffle across a nylon carpet and your shoes strip electrons from it, charging your whole body. Touch a metal handle and that charge finds its escape route, jumping the last millimetre as a spark. On a dry day your body can reach tens of thousands of volts before it lets go.<\/p>\n\n<p><strong>2. A balloon stuck to the wall.<\/strong> Rub a balloon on your hair and it steals electrons, turning negative; your hair, now positive, lifts and follows it. Press the balloon to a wall and its negative charge nudges the wall&#8217;s electrons aside, leaving the near surface slightly positive \u2014 so the balloon clings, held by attraction to charge it created itself.<\/p>\n\n<figure style=\"margin:32px auto;max-width:640px;text-align:center;\">\n  <img decoding=\"async\" src=\"https:\/\/physicsfundamentalsinfo.com\/blog\/wp-content\/uploads\/2026\/06\/girl-with-flyaway-hair-due-to-static-electricity-from-electrically-charged-balloons.webp\"\n       alt=\"Child's hair standing on end from static electricity, strands repelling each other\"\n       loading=\"lazy\"\n       style=\"width:100%;height:auto;border-radius:4px;\" width=\"1067\" height=\"1600\">\n  <figcaption style=\"font-size:13px;color:#1F2E47;font-style:italic;margin-top:8px;\">Like charges repel: every hair carries the same charge, so the strands push apart.<\/figcaption>\n<\/figure>\n\n<p><strong>3. Clothes that cling and crackle.<\/strong> A tumble dryer is a triboelectric factory: garments tumble, touch and separate thousands of times, so synthetics end up charged and stick to each other and to your skin. The faint crackle as you peel them apart is a chorus of miniature sparks.<\/p>\n\n<p><strong>4. Lightning \u2014 static on a colossal scale.<\/strong> Inside a storm cloud, ice crystals and soft hail (graupel) <a href=\"https:\/\/www.nssl.noaa.gov\/education\/svrwx101\/lightning\/\" target=\"_blank\" rel=\"noopener\">collide in violent updraughts and swap charge<\/a>, leaving the cloud&#8217;s top positive and its base negative. When the imbalance grows too large for the air to insulate, it breaks down in a giant discharge. A typical bolt carries around 300 million volts and 30,000 amps, according to <a href=\"https:\/\/www.weather.gov\/safety\/lightning-power\" target=\"_blank\" rel=\"noopener\">NOAA&#8217;s National Weather Service<\/a> \u2014 and the channel flashes to roughly 30,000 \u00b0C, about five times hotter than the surface of the Sun.<\/p>\n\n<figure style=\"margin:32px auto;max-width:640px;text-align:center;\">\n  <img decoding=\"async\" src=\"https:\/\/physicsfundamentalsinfo.com\/blog\/wp-content\/uploads\/2026\/06\/images.jpeg\"\n       alt=\"Cloud-to-ground lightning bolt, a large-scale static electricity discharge\"\n       loading=\"lazy\"\n       style=\"width:100%;height:auto;border-radius:4px;\" width=\"447\" height=\"447\">\n  <figcaption style=\"font-size:13px;color:#1F2E47;font-style:italic;margin-top:8px;\">Lightning is static electricity writ large \u2014 a discharge that equalises charge between cloud and ground.<\/figcaption>\n<\/figure>\n\n<p><strong>5. Static put to work.<\/strong> Not all static is a nuisance. Photocopiers and laser printers charge a drum so that toner sticks only where it should; factories use it for even paint coatings and to filter smoke from chimneys. The same effect that ruins your hair quietly runs a great deal of modern technology.<\/p>\n\n<h2>Common Misconceptions About Static Electricity<\/h2>\n\n<p><strong>Myth: &#8220;Friction creates static electricity.&#8221;<\/strong> Friction helps, but it is not the cause. What actually charges an object is contact followed by separation; rubbing merely multiplies the points of contact. You can charge surfaces by pressing and peeling them apart with no real rubbing at all. If you would like the mechanics of rubbing itself, see our explainer on <a href=\"https:\/\/physicsfundamentalsinfo.com\/blog\/mechanics\/what-is-friction\/\">what friction is<\/a>.<\/p>\n\n<p><strong>Myth: &#8220;Static isn&#8217;t real electricity.&#8221;<\/strong> It is exactly the same electricity. The electrons and the charge are identical to those in a circuit \u2014 the only difference is that static charge sits still while current electricity flows. Both obey Coulomb&#8217;s law and the conservation of charge.<\/p>\n\n<p><strong>Myth: &#8220;Thousands of volts means it must be deadly.&#8221;<\/strong> A static shock can hit 20,000\u201335,000 volts, yet it rarely harms you. Voltage is only the electrical &#8220;pressure&#8221;; what does damage is energy and current, and a static spark carries almost none. Danger depends on how much charge flows and for how long \u2014 not on voltage alone.<\/p>\n\n<p><strong>Myth: &#8220;Rubbing makes new charge appear.&#8221;<\/strong> Nothing is created. Every electron that lands on one object was taken from the other, so the two charges are always equal and opposite. Charge is only ever shifted around, never conjured from nothing.<\/p>\n\n<h2>How Static Electricity Relates to Current, Energy and Coulomb&#8217;s Law<\/h2>\n\n<p>Static electricity is one corner of a single, connected subject. The force between the charges is pure Coulomb&#8217;s law \u2014 the inverse-square equation above. The moment that stored charge finds a conductor and flows, it becomes an electric current, and the rules of <a href=\"https:\/\/physicsfundamentalsinfo.com\/blog\/electromagnetism\/ohms-law\/\">Ohm&#8217;s law<\/a> take over to describe how voltage, current and resistance relate.<\/p>\n\n<p>There is energy here too. A charged object stores electrical potential energy, and a discharge releases it. For a doorknob spark the amount is minuscule; for a lightning bolt it is staggering \u2014 enough to split the air into glowing plasma. If you want the bigger picture of where that comes from, start with our overview of <a href=\"https:\/\/physicsfundamentalsinfo.com\/blog\/mechanics\/what-is-energy-in-physics\/\">energy in physics<\/a>.<\/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;\">\n<thead>\n<tr style=\"background:#142139;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;\">Static electricity<\/th>\n<th style=\"padding:10px;border:1px solid #D9CFB8;text-align:left;\">Current electricity<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr><td style=\"padding:10px;border:1px solid #D9CFB8;\">Charge motion<\/td><td style=\"padding:10px;border:1px solid #D9CFB8;\">At rest on a surface<\/td><td style=\"padding:10px;border:1px solid #D9CFB8;\">Flows continuously<\/td><\/tr>\n<tr><td style=\"padding:10px;border:1px solid #D9CFB8;\">Usual setting<\/td><td style=\"padding:10px;border:1px solid #D9CFB8;\">Built up on insulators<\/td><td style=\"padding:10px;border:1px solid #D9CFB8;\">Moves through conductors and circuits<\/td><\/tr>\n<tr><td style=\"padding:10px;border:1px solid #D9CFB8;\">Driven by<\/td><td style=\"padding:10px;border:1px solid #D9CFB8;\">A charge imbalance<\/td><td style=\"padding:10px;border:1px solid #D9CFB8;\">A sustained voltage source<\/td><\/tr>\n<tr><td style=\"padding:10px;border:1px solid #D9CFB8;\">How long it lasts<\/td><td style=\"padding:10px;border:1px solid #D9CFB8;\">Until it discharges (often an instant)<\/td><td style=\"padding:10px;border:1px solid #D9CFB8;\">As long as the circuit stays closed<\/td><\/tr>\n<tr><td style=\"padding:10px;border:1px solid #D9CFB8;\">Everyday example<\/td><td style=\"padding:10px;border:1px solid #D9CFB8;\">Doorknob shock, lightning<\/td><td style=\"padding:10px;border:1px solid #D9CFB8;\">Mains power, batteries, a torch<\/td><\/tr>\n<tr><td style=\"padding:10px;border:1px solid #D9CFB8;\">Governing idea<\/td><td style=\"padding:10px;border:1px solid #D9CFB8;\">Coulomb&#8217;s law<\/td><td style=\"padding:10px;border:1px solid #D9CFB8;\">Ohm&#8217;s law<\/td><\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n\n<p>So the next time a spark bites your fingertip, you are watching the whole of basic electricity in miniature: charge that sat still, a force described by Coulomb, and a fleeting current as it finally lets go.<\/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\">Two point charges, q1 = 2 \u00b5C and q2 = 3 \u00b5C, are held 0.5 m apart in air. What is the electrostatic force between them?<\/div><details><summary>Show Solution<\/summary><div class=\"pf-problem-solution\">\n<strong>Solution:<\/strong>\n<p><strong>Step 1 \u2014<\/strong> Use Coulomb&#8217;s law: F = k\u00b7q<sub>1<\/sub>\u00b7q<sub>2<\/sub> \/ r<sup>2<\/sup>.<\/p>\n<p><strong>Step 2 \u2014<\/strong> Substitute in SI units: F = (8.99 \u00d7 10<sup>9<\/sup> N\u00b7m<sup>2<\/sup>\/C<sup>2<\/sup>)(2 \u00d7 10<sup>\u22126<\/sup> C)(3 \u00d7 10<sup>\u22126<\/sup> C) \/ (0.5 m)<sup>2<\/sup>.<\/p>\n<p><strong>Step 3 \u2014<\/strong> Top line: 8.99 \u00d7 10<sup>9<\/sup> \u00d7 6 \u00d7 10<sup>\u221212<\/sup> = 5.39 \u00d7 10<sup>\u22122<\/sup> N\u00b7m<sup>2<\/sup>; divide by 0.25 m<sup>2<\/sup>: 5.39 \u00d7 10<sup>\u22122<\/sup> \/ 0.25 = 0.216 N.<\/p>\n<strong>Answer: F \u2248 0.22 N, repulsive (both charges are positive).<\/strong>\n<\/div><\/details><\/div>\n\n<div class=\"pf-problem\"><div class=\"pf-problem-num\">Problem 2<\/div><div class=\"pf-problem-question\">A plastic rod is rubbed until it carries a charge of \u22121 \u00b5C. How many excess electrons does it hold?<\/div><details><summary>Show Solution<\/summary><div class=\"pf-problem-solution\">\n<strong>Solution:<\/strong>\n<p><strong>Step 1 \u2014<\/strong> Use Q = n\u00b7e, so n = Q \/ e.<\/p>\n<p><strong>Step 2 \u2014<\/strong> Substitute: n = (1 \u00d7 10<sup>\u22126<\/sup> C) \/ (1.602 \u00d7 10<sup>\u221219<\/sup> C).<\/p>\n<p><strong>Step 3 \u2014<\/strong> n = 6.24 \u00d7 10<sup>12<\/sup> electrons.<\/p>\n<strong>Answer: about 6.2 \u00d7 10<sup>12<\/sup> extra electrons give the rod its \u22121 \u03bcC charge.<\/strong>\n<\/div><\/details><\/div>\n\n<div class=\"pf-problem\"><div class=\"pf-problem-num\">Problem 3<\/div><div class=\"pf-problem-question\">A \u22125 nC charge and a +5 nC charge sit 2 cm apart. Find the force between them and state whether it is attractive or repulsive.<\/div><details><summary>Show Solution<\/summary><div class=\"pf-problem-solution\">\n<strong>Solution:<\/strong>\n<p><strong>Step 1 \u2014<\/strong> Use the magnitudes in Coulomb&#8217;s law: F = k\u00b7q<sub>1<\/sub>\u00b7q<sub>2<\/sub> \/ r<sup>2<\/sup>.<\/p>\n<p><strong>Step 2 \u2014<\/strong> Substitute: F = (8.99 \u00d7 10<sup>9<\/sup>)(5 \u00d7 10<sup>\u22129<\/sup>)(5 \u00d7 10<sup>\u22129<\/sup>) \/ (0.02 m)<sup>2<\/sup>.<\/p>\n<p><strong>Step 3 \u2014<\/strong> Top line: 8.99 \u00d7 10<sup>9<\/sup> \u00d7 25 \u00d7 10<sup>\u221218<\/sup> = 2.25 \u00d7 10<sup>\u22127<\/sup>; divide by 4 \u00d7 10<sup>\u22124<\/sup> m<sup>2<\/sup>: 5.6 \u00d7 10<sup>\u22124<\/sup> N.<\/p>\n<strong>Answer: F \u2248 5.6 \u00d7 10<sup>\u22124<\/sup> N, attractive (the charges have opposite signs).<\/strong>\n<\/div><\/details><\/div>\n\n<div class=\"pf-problem\"><div class=\"pf-problem-num\">Problem 4<\/div><div class=\"pf-problem-question\">Two charges feel a force of 0.36 N when 10 cm apart. Keeping the charges the same, what force do they feel at 30 cm?<\/div><details><summary>Show Solution<\/summary><div class=\"pf-problem-solution\">\n<strong>Solution:<\/strong>\n<p><strong>Step 1 \u2014<\/strong> Coulomb&#8217;s law is an inverse-square law, so F<sub>2<\/sub> \/ F<sub>1<\/sub> = (r<sub>1<\/sub> \/ r<sub>2<\/sub>)<sup>2<\/sup>.<\/p>\n<p><strong>Step 2 \u2014<\/strong> The distance triples: (10 \/ 30)<sup>2<\/sup> = (1\/3)<sup>2<\/sup> = 1\/9.<\/p>\n<p><strong>Step 3 \u2014<\/strong> F<sub>2<\/sub> = 0.36 N \u00d7 1\/9 = 0.040 N.<\/p>\n<strong>Answer: F \u2248 0.040 N \u2014 tripling the separation cuts the force to one-ninth.<\/strong>\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 \u00b5C charge and a 1 \u00b5C charge repel each other with a force of 9.0 N. How far apart are they?<\/div><details><summary>Show Solution<\/summary><div class=\"pf-problem-solution\">\n<strong>Solution:<\/strong>\n<p><strong>Step 1 \u2014<\/strong> Rearrange Coulomb&#8217;s law for r: r = \u221a(k\u00b7q<sub>1<\/sub>\u00b7q<sub>2<\/sub> \/ F).<\/p>\n<p><strong>Step 2 \u2014<\/strong> Substitute: r = \u221a[(8.99 \u00d7 10<sup>9<\/sup>)(4 \u00d7 10<sup>\u22126<\/sup>)(1 \u00d7 10<sup>\u22126<\/sup>) \/ 9.0].<\/p>\n<p><strong>Step 3 \u2014<\/strong> Inside the root: 8.99 \u00d7 10<sup>9<\/sup> \u00d7 4 \u00d7 10<sup>\u221212<\/sup> = 3.60 \u00d7 10<sup>\u22122<\/sup>; \u00f7 9.0 = 4.00 \u00d7 10<sup>\u22123<\/sup>; \u221a = 0.063 m.<\/p>\n<strong>Answer: r \u2248 0.063 m \u2248 6.3 cm.<\/strong>\n<\/div><\/details><\/div>\n\n<div class=\"pf-problem\"><div class=\"pf-problem-num\">Problem 6<\/div><div class=\"pf-problem-question\">A comb rubbed through hair gains 5.0 \u00d7 10^10 excess electrons. (a) What charge does it carry? (b) Held 2.0 cm from an equal and opposite charge, what force does it feel?<\/div><details><summary>Show Solution<\/summary><div class=\"pf-problem-solution\">\n<strong>Solution:<\/strong>\n<p><strong>Step 1 \u2014<\/strong> Charge: Q = n\u00b7e = (5.0 \u00d7 10<sup>10<\/sup>)(1.602 \u00d7 10<sup>\u221219<\/sup> C) = 8.0 \u00d7 10<sup>\u22129<\/sup> C, i.e. \u22128.0 nC.<\/p>\n<p><strong>Step 2 \u2014<\/strong> Force with a +8.0 nC charge: F = k\u00b7q<sub>1<\/sub>\u00b7q<sub>2<\/sub> \/ r<sup>2<\/sup> = (8.99 \u00d7 10<sup>9<\/sup>)(8.0 \u00d7 10<sup>\u22129<\/sup>)(8.0 \u00d7 10<sup>\u22129<\/sup>) \/ (0.02 m)<sup>2<\/sup>.<\/p>\n<p><strong>Step 3 \u2014<\/strong> Top line: 8.99 \u00d7 10<sup>9<\/sup> \u00d7 6.4 \u00d7 10<sup>\u221217<\/sup> = 5.77 \u00d7 10<sup>\u22127<\/sup>; \u00f7 4 \u00d7 10<sup>\u22124<\/sup> m<sup>2<\/sup> = 1.4 \u00d7 10<sup>\u22123<\/sup> N.<\/p>\n<strong>Answer: (a) Q \u2248 \u22128.0 nC; (b) F \u2248 1.4 \u00d7 10<sup>\u22123<\/sup> N (about 1.4 mN), attractive.<\/strong>\n<\/div><\/details><\/div>\n\n<h2>Frequently Asked Questions<\/h2>\n\n<details class=\"pf-faq-item\"><summary>What is static electricity in simple terms?<\/summary><div class=\"pf-faq-item-answer\">\nStatic electricity is an electric charge that builds up and stays on the surface of an object instead of flowing as a current. It appears when a material gains extra electrons, making it negative, or loses some, making it positive. The charge sits there until it finds a path to balance out \u2014 usually as a small spark.\n<\/div><\/details>\n\n<details class=\"pf-faq-item\"><summary>What causes static electricity?<\/summary><div class=\"pf-faq-item-answer\">\nStatic electricity is caused by two different surfaces touching and then separating, which transfers electrons from one to the other. Rubbing helps because it presses more of the surfaces together, but contact and separation are what actually matter. The material that gains electrons ends up negative; the one that loses them ends up positive.\n<\/div><\/details>\n\n<details class=\"pf-faq-item\"><summary>Why do I get a shock when I touch a doorknob?<\/summary><div class=\"pf-faq-item-answer\">\nYou get a shock because your body has built up a static charge \u2014 often from walking across a carpet \u2014 and a metal doorknob gives it a fast path to escape. The charge jumps the final gap as a spark, and that sudden rush of electrons is the zap you feel. Metal conducts well, so the discharge is quick and sharp.\n<\/div><\/details>\n\n<details class=\"pf-faq-item\"><summary>Is static electricity dangerous?<\/summary><div class=\"pf-faq-item-answer\">\nFor people, an everyday static shock is almost always harmless, because the energy and current are tiny despite the high voltage. The real risks lie elsewhere: a static spark can destroy sensitive electronics, ignite flammable vapours or dust, and \u2014 on a vast scale \u2014 strike as deadly lightning. Context decides whether static is a nuisance or a hazard.\n<\/div><\/details>\n\n<details class=\"pf-faq-item\"><summary>Why is static electricity worse in winter?<\/summary><div class=\"pf-faq-item-answer\">\nStatic is worse in winter because cold air holds very little moisture, and dry air is a poor conductor. With low humidity, the charge that builds up on your body and clothes cannot leak away into the air, so it accumulates until it discharges in a shock. On humid days a thin film of water bleeds the charge off harmlessly.\n<\/div><\/details>\n\n<details class=\"pf-faq-item\"><summary>What is the formula for static electricity?<\/summary><div class=\"pf-faq-item-answer\">\nThe force between two static charges is given by Coulomb&#8217;s law, F = kq<sub>1<\/sub>q<sub>2<\/sub>\/r<sup>2<\/sup>, where F is the force in newtons, q<sub>1<\/sub> and q<sub>2<\/sub> are the charges in coulombs, r is their separation in metres, and k \u2248 8.99 \u00d7 10<sup>9<\/sup> N\u00b7m<sup>2<\/sup>\/C<sup>2<\/sup>. The charge itself is Q = ne \u2014 the number of excess electrons times the electron&#8217;s charge.\n<\/div><\/details>\n\n<details class=\"pf-faq-item\"><summary>How can I reduce static electricity at home?<\/summary><div class=\"pf-faq-item-answer\">\nYou can reduce static by adding moisture to the air with a humidifier, since damp air lets charge drain away. Touching a metal object or a wall before reaching for electronics safely grounds you. Wearing natural fibres such as cotton rather than synthetics, and using fabric softener or dryer sheets, also cuts down on charge build-up.\n<\/div><\/details>\n","protected":false},"excerpt":{"rendered":"<p>Static electricity is the build-up of electric charge on a surface when materials gain or lose electrons. Here&#8217;s how it works, why you get shocked, and five everyday examples \u2014 from clingy clothes to lightning.<\/p>\n","protected":false},"author":1,"featured_media":375,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[5],"tags":[68,72,69,215,216],"class_list":["post-372","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-electromagnetism","tag-coulombs-law","tag-electric-charge","tag-electrostatics","tag-static-electricity","tag-triboelectric-effect"],"_links":{"self":[{"href":"https:\/\/physicsfundamentalsinfo.com\/blog\/wp-json\/wp\/v2\/posts\/372","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=372"}],"version-history":[{"count":7,"href":"https:\/\/physicsfundamentalsinfo.com\/blog\/wp-json\/wp\/v2\/posts\/372\/revisions"}],"predecessor-version":[{"id":1669,"href":"https:\/\/physicsfundamentalsinfo.com\/blog\/wp-json\/wp\/v2\/posts\/372\/revisions\/1669"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/physicsfundamentalsinfo.com\/blog\/wp-json\/wp\/v2\/media\/375"}],"wp:attachment":[{"href":"https:\/\/physicsfundamentalsinfo.com\/blog\/wp-json\/wp\/v2\/media?parent=372"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/physicsfundamentalsinfo.com\/blog\/wp-json\/wp\/v2\/categories?post=372"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/physicsfundamentalsinfo.com\/blog\/wp-json\/wp\/v2\/tags?post=372"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}