{"id":100175,"date":"2026-02-15T20:25:09","date_gmt":"2026-02-15T20:25:09","guid":{"rendered":"https:\/\/vibromera.eu\/?post_type=calculator&#038;p=100175"},"modified":"2026-07-13T00:44:07","modified_gmt":"2026-07-13T00:44:07","slug":"ohms-law-calculator","status":"publish","type":"calculator","link":"https:\/\/vibromera.eu\/el\/calculators\/ohms-law-calculator\/","title":{"rendered":"Finite Linear Resistor Worksheet"},"content":{"rendered":"\n<script type=\"application\/ld+json\">\n{\"@context\":\"https:\/\/schema.org\",\"@type\":\"WebApplication\",\"name\":\"Finite Linear Resistor Worksheet\",\"description\":\"Calculates voltage, current, resistance, dissipated power and conductance for one finite positive linear resistance using either steady DC magnitudes or sinusoidal RMS values for a purely resistive load.\",\"url\":\"https:\/\/vibromera.eu\/calculators\/ohms-law-calculator\/\",\"applicationCategory\":\"EngineeringApplication\",\"operatingSystem\":\"Any (Web Browser)\",\"offers\":{\"@type\":\"Offer\",\"price\":\"0\",\"priceCurrency\":\"EUR\"},\"creator\":{\"@type\":\"Organization\",\"name\":\"Vibromera\",\"url\":\"https:\/\/vibromera.eu\/\"},\"datePublished\":\"2025-01-01\",\"dateModified\":\"2026-07-13\",\"inLanguage\":\"en\",\"isAccessibleForFree\":true,\"featureList\":[\"Steady DC resistor magnitudes\",\"Purely resistive sinusoidal AC RMS magnitudes\",\"Six finite-resistance input pairs\",\"Explicit zero and denominator validation\"],\"keywords\":\"Ohm law,linear resistor,voltage,current,resistance,dissipated power,conductance\"}\n<\/script>\n<script type=\"application\/ld+json\">\n{\"@context\":\"https:\/\/schema.org\",\"@type\":\"FAQPage\",\"mainEntity\":[{\"@type\":\"Question\",\"name\":\"What circuit model does this worksheet use?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"One finite positive linear resistance at one operating state, using either steady DC magnitudes or RMS magnitudes for a purely resistive sinusoidal AC load.\"}},{\"@type\":\"Question\",\"name\":\"Does P = V I apply to every AC load?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"No. For a general AC load, real power depends on waveform and phase or power factor. 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id=\"vc-resistor\"><header class=\"vc-header\"><p class=\"vc-header-eyebrow\">Electrical operating-point worksheet<\/p><h1 class=\"vc-header-title\">Finite Linear Resistor<\/h1><p class=\"vc-header-subtitle\">Use two compatible magnitudes from one finite positive linear resistance at one operating state. General AC impedance, phase, nonlinear loads and component rating are outside this worksheet.<\/p><div class=\"vc-badges\"><span class=\"vc-badge\">V = I R<\/span><span class=\"vc-badge\">P = V I<\/span><span class=\"vc-badge\">Finite R &gt; 0<\/span><\/div><\/header>\n<div class=\"vc-card\"><form class=\"vc-form\" id=\"vc-form\" autocomplete=\"off\" novalidate><div class=\"vc-grid\">\n<div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-model\">Electrical model<\/label><select class=\"vc-select\" id=\"vc-model\"><option value=\"\">\u2014 Select one model \u2014<\/option><option value=\"dc\">Steady DC magnitudes<\/option><option value=\"ac\">Sinusoidal AC RMS, purely resistive load<\/option><\/select><\/div>\n<div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-known\">Known pair<\/label><select class=\"vc-select\" id=\"vc-known\"><option value=\"\">\u2014 Select two known quantities \u2014<\/option><option value=\"vi\">Voltage + current<\/option><option value=\"vr\">Voltage + resistance<\/option><option value=\"ir\">Current + resistance<\/option><option value=\"pi\">Dissipated power + current<\/option><option value=\"pv\">Dissipated power + voltage<\/option><option value=\"pr\">Dissipated power + resistance<\/option><\/select><\/div>\n<div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-v1\"><span id=\"vc-l1\">First value<\/span> <span class=\"vc-hint\" id=\"vc-u1\"><\/span><\/label><input class=\"vc-input\" id=\"vc-v1\" inputmode=\"decimal\"><\/div>\n<div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-v2\"><span id=\"vc-l2\">Second value<\/span> <span class=\"vc-hint\" id=\"vc-u2\"><\/span><\/label><input class=\"vc-input\" id=\"vc-v2\" inputmode=\"decimal\"><\/div>\n<div class=\"vc-field vc-full\"><label class=\"vc-label\" for=\"vc-record\">Element \/ operating-state record<\/label><input class=\"vc-input\" id=\"vc-record\" type=\"text\" placeholder=\"component or network between same two points, state, measurement basis and sources\"><\/div>\n<div class=\"vc-field vc-full\"><label class=\"vc-check\" for=\"vc-gate\"><input id=\"vc-gate\" type=\"checkbox\"><span>The two inputs refer to the same element\/network and operating state. The element is represented by one finite positive linear resistance. For AC, values are compatible RMS magnitudes of a purely resistive sinusoidal load.<\/span><\/label><\/div>\n<\/div><div class=\"vc-validation\" id=\"vc-validation\" role=\"status\" aria-live=\"polite\"><\/div><\/form>\n<div class=\"vc-results\" id=\"vc-results\"><div class=\"vc-results-head\"><h2 class=\"vc-results-title\">Operating-point result<\/h2><button type=\"button\" class=\"vc-copy-btn\" id=\"vc-copy-btn\">Copy<\/button><\/div><div class=\"vc-result-grid\"><div class=\"vc-rcard vc-primary\"><div class=\"vc-rcard-label\">Dissipated real power<\/div><div class=\"vc-rcard-value\" id=\"vc-r-p\">\u2014<\/div><\/div><div class=\"vc-rcard\"><div class=\"vc-rcard-label\">Voltage magnitude<\/div><div class=\"vc-rcard-value\" id=\"vc-r-v\">\u2014<\/div><\/div><div class=\"vc-rcard\"><div class=\"vc-rcard-label\">Current magnitude<\/div><div class=\"vc-rcard-value\" id=\"vc-r-i\">\u2014<\/div><\/div><div class=\"vc-rcard\"><div class=\"vc-rcard-label\">Resistance<\/div><div class=\"vc-rcard-value\" id=\"vc-r-r\">\u2014<\/div><\/div><div class=\"vc-rcard\"><div class=\"vc-rcard-label\">Conductance G = 1\/R<\/div><div class=\"vc-rcard-value\" id=\"vc-r-g\">\u2014<\/div><\/div><div class=\"vc-status\">Calculated power is operating-point dissipation, not a resistor power rating, safety limit or energy value.<\/div><\/div><\/div><\/div>\n<div class=\"vc-section vc-open\"><button class=\"vc-section-toggle\" type=\"button\" aria-expanded=\"true\"><span class=\"vc-section-title\">Equations, zero cases and scope<\/span><span>\u2304<\/span><\/button><div class=\"vc-section-body\"><div class=\"vc-section-inner vc-theory\"><h3>General engineering relations used<\/h3><div class=\"vc-formula\">V = I R &nbsp; | &nbsp; P = V I = I\u00b2R = V\u00b2\/R &nbsp; | &nbsp; G = 1\/R<\/div><p>V is volts, I amperes, R ohms, P watts and G siemens. All inputs and outputs are magnitudes for a passive dissipative resistance.<\/p><h3>Zero handling<\/h3><p>Zero voltage is valid with known positive resistance; zero current is valid with known positive resistance; zero power is valid with known positive resistance. Other zero pairs can imply R = 0, R \u2192 \u221e or 0\/0, so they are rejected rather than displayed as a finite answer.<\/p><div class=\"vc-warning\"><strong>AC limitation:<\/strong> replacing R by a complex impedance is not enough to retain every formula shown here. For a general AC load, phase\/waveform and real, reactive and apparent power must be distinguished. This page only supports a purely resistive sinusoidal load with RMS V and I.<\/div><h3>Excluded<\/h3><ul><li>Sources, signed power flow, negative\/differential resistance and nonlinear or temperature-varying elements.<\/li><li>Complex impedance, inductance, capacitance, harmonics, power factor and three-phase systems.<\/li><li>Open\/short-circuit limiting resistance, uncertainty propagation and meter loading.<\/li><li>Energy consumption, component rating, derating, transients, thermal rise and electrical safety decisions.<\/li><\/ul><h3>Sources<\/h3><p><a href=\"https:\/\/www.nist.gov\/news-events\/news\/2013\/01\/minimizing-uncertainty-current-events\" target=\"_blank\" rel=\"noopener\">NIST<\/a> explicitly states the measurement relation I = V\/R. The same-two-points and passive-resistor derivations are documented in the open <a href=\"https:\/\/www.allaboutcircuits.com\/textbook\/direct-current\/chpt-5\/correct-use-of-ohms-law\/\" target=\"_blank\" rel=\"noopener\">Lessons in Electric Circuits<\/a>. These are general relations, not an ISO compliance calculation.<\/p><\/div><\/div><\/div>\n<div class=\"vc-section\"><button class=\"vc-section-toggle\" type=\"button\" aria-expanded=\"false\"><span class=\"vc-section-title\">Related calculators<\/span><span>\u2304<\/span><\/button><div class=\"vc-section-body\"><div class=\"vc-section-inner\"><div class=\"vc-related\"><a href=\"\/calculators\/electrical-power-calculator\/\">Electrical Power<\/a><a href=\"\/calculators\/series-resistor-calculator\/\">Series Resistance<\/a><a href=\"\/calculators\/parallel-resistor-calculator\/\">Parallel Resistance<\/a><\/div><\/div><\/div><\/div>\n<div class=\"vc-section\"><button class=\"vc-section-toggle\" type=\"button\" aria-expanded=\"false\"><span class=\"vc-section-title\">Frequently asked questions<\/span><span>\u2304<\/span><\/button><div class=\"vc-section-body\"><div class=\"vc-section-inner\"><div id=\"vc-faq-list\"><\/div><\/div><\/div><\/div>\n<div class=\"vc-promo\"><div><strong>Vibromera \u2014 Portable Balancing &amp; Vibration Analysis<\/strong><br>Professional field balancing instruments and software.<\/div><a href=\"https:\/\/vibromera.eu\/\" target=\"_blank\" rel=\"noopener\">Learn More<\/a><\/div><footer class=\"vc-footer\">\u00a9 2024\u20132026 <a href=\"https:\/\/vibromera.eu\/\">Vibromera<\/a> \u2014 reviewed 13 July 2026<\/footer><\/div>\n<script>\n(function(){'use strict';function $(id){return document.getElementById(id)}var cfg={vi:['Voltage','(V)','Current','(A)'],vr:['Voltage','(V)','Resistance','(ohm)'],ir:['Current','(A)','Resistance','(ohm)'],pi:['Dissipated power','(W)','Current','(A)'],pv:['Dissipated power','(W)','Voltage','(V)'],pr:['Dissipated power','(W)','Resistance','(ohm)']};function parse(raw){var t=String(raw||'').trim();if(!t||(t.includes(',')&&t.includes('.')))return null;t=t.replace(',','.');if(!\/^(?:\\d+(?:\\.\\d*)?|\\.\\d+)$\/.test(t))return null;var v=Number(t);return Number.isFinite(v)&&v>=0?v:null}function fmt(v){if(v===0)return'0';if(Math.abs(v)>=1e9||Math.abs(v)<1e-6)return v.toExponential(6);return Number(v.toPrecision(9)).toString()}function hide(m){$('vc-results').classList.remove('vc-visible');$('vc-validation').textContent=m||''}function labels(){var c=cfg[$('vc-known').value];$('vc-l1').textContent=c?c[0]:'First value';$('vc-u1').textContent=c?c[1]:'';$('vc-l2').textContent=c?c[2]:'Second value';$('vc-u2').textContent=c?c[3]:'';hide('')}function calc(){var model=$('vc-model').value,k=$('vc-known').value;if(!model)return hide('Select the electrical model.');if(!k)return hide('Select two known quantities.');if(!$('vc-record').value.trim())return hide('Enter the element and operating-state record.');if(!$('vc-gate').checked)return hide('Confirm the finite linear-resistance scope and common operating state.');var x=parse($('vc-v1').value),y=parse($('vc-v2').value);if(x===null||y===null)return hide('Enter two complete nonnegative numbers using one decimal separator.');var V,I,R,P;if(k==='vi'){if(!(x>0&&y>0))return hide('V+I requires positive values to determine a finite positive resistance.');V=x;I=y;R=V\/I;P=V*I}else if(k==='vr'){if(!(y>0))return hide('Resistance must be positive and finite.');V=x;R=y;I=V\/R;P=V*I}else if(k==='ir'){if(!(y>0))return hide('Resistance must be positive and finite.');I=x;R=y;V=I*R;P=V*I}else if(k==='pi'){if(!(x>0&&y>0))return hide('P+I requires positive values to determine a finite positive resistance.');P=x;I=y;V=P\/I;R=V\/I}else if(k==='pv'){if(!(x>0&&y>0))return hide('P+V requires positive values to determine a finite positive resistance.');P=x;V=y;I=P\/V;R=V\/I}else{if(!(y>0))return hide('Resistance must be positive and finite.');P=x;R=y;V=Math.sqrt(P*R);I=Math.sqrt(P\/R)}var G=1\/R;if(![V,I,R,P,G].every(Number.isFinite)||!(R>0)||!(G>0))return hide('The inputs do not produce a finite positive resistance and conductance.');$('vc-r-v').textContent=fmt(V)+' V';$('vc-r-i').textContent=fmt(I)+' A';$('vc-r-r').textContent=fmt(R)+' ohm';$('vc-r-p').textContent=fmt(P)+' W';$('vc-r-g').textContent=fmt(G)+' S';$('vc-validation').textContent='';$('vc-results').classList.add('vc-visible')}$('vc-known').addEventListener('change',labels);$('vc-form').addEventListener('input',calc);$('vc-form').addEventListener('change',calc);$('vc-copy-btn').addEventListener('click',function(){var text='Finite linear resistor\\n'+$('vc-r-v').textContent+'\\n'+$('vc-r-i').textContent+'\\n'+$('vc-r-r').textContent+'\\n'+$('vc-r-p').textContent+'\\n'+$('vc-r-g').textContent+'\\nOperating-point dissipation only; not a rating.\\nvibromera.eu\/calculators\/ohms-law-calculator\/';if(navigator.clipboard)navigator.clipboard.writeText(text).then(function(){var b=$('vc-copy-btn');b.textContent='Copied!';b.classList.add('vc-copied');setTimeout(function(){b.textContent='Copy';b.classList.remove('vc-copied')},2000)})});document.querySelectorAll('.vc-section-toggle').forEach(function(b){b.addEventListener('click',function(){var s=this.closest('.vc-section');s.classList.toggle('vc-open');this.setAttribute('aria-expanded',String(s.classList.contains('vc-open')))})});var faq=[['What model is used?','One finite positive linear resistor at one operating state: steady DC magnitudes or purely resistive sinusoidal RMS magnitudes.'],['Does P=VI apply to every AC load?','No. General AC real power requires phase or waveform information.'],['Why reject some zeros?','Those pairs imply zero\/infinite resistance or an indeterminate ratio, outside the finite-R model.'],['Is P a component rating?','No. It is operating-point dissipation only.']];var list=$('vc-faq-list');faq.forEach(function(x){var w=document.createElement('div');w.className='vc-faq-item';var b=document.createElement('button');b.type='button';b.className='vc-faq-q';b.textContent=x[0];var a=document.createElement('div');a.className='vc-faq-a';a.textContent=x[1];w.appendChild(b);w.appendChild(a);list.appendChild(w)});list.addEventListener('click',function(e){var b=e.target.closest('.vc-faq-q');if(b)b.closest('.vc-faq-item').classList.toggle('vc-open')});labels()})();\n<\/script>\n","protected":false},"excerpt":{"rendered":"<p>Calculate V, I, R, dissipated P and conductance for one finite positive linear resistance using steady DC magnitudes or purely resistive sinusoidal RMS values.<\/p>","protected":false},"featured_media":0,"template":"","meta":{"ai_generated_summary":"","footnotes":""},"categories":[],"tags":[],"class_list":["post-100175","calculator","type-calculator","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/vibromera.eu\/el\/wp-json\/wp\/v2\/calculator\/100175","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/vibromera.eu\/el\/wp-json\/wp\/v2\/calculator"}],"about":[{"href":"https:\/\/vibromera.eu\/el\/wp-json\/wp\/v2\/types\/calculator"}],"version-history":[{"count":3,"href":"https:\/\/vibromera.eu\/el\/wp-json\/wp\/v2\/calculator\/100175\/revisions"}],"predecessor-version":[{"id":102512,"href":"https:\/\/vibromera.eu\/el\/wp-json\/wp\/v2\/calculator\/100175\/revisions\/102512"}],"wp:attachment":[{"href":"https:\/\/vibromera.eu\/el\/wp-json\/wp\/v2\/media?parent=100175"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/vibromera.eu\/el\/wp-json\/wp\/v2\/categories?post=100175"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/vibromera.eu\/el\/wp-json\/wp\/v2\/tags?post=100175"}],"curies":[{"name":"\u03b5\u03c1\u03b3\u03b1\u03c3\u03af\u03b1","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}