{"id":1859,"date":"2022-08-04T11:29:19","date_gmt":"2022-08-04T05:59:19","guid":{"rendered":"https:\/\/www.tutoroot.com\/blog\/?p=1859"},"modified":"2023-12-13T15:05:56","modified_gmt":"2023-12-13T09:35:56","slug":"ohms-law-definition-formula-applications-solved-problems","status":"publish","type":"post","link":"https:\/\/www.tutoroot.com\/blog\/ohms-law-definition-formula-applications-solved-problems\/","title":{"rendered":"Ohm&#8217;s Law &#8211; Definition, Formula, Applications"},"content":{"rendered":"<p>Ohm\u2019s Law is a very important concept in the Physics subject, as many chapters and principles are derived from it. Most of the high-weightage questions and problems that students encounter in Physics examinations come directly from this topic. Moreover, to help these students out, we are going to give a comprehensive description of State Ohm\u2019s law, its Applications, Ohm\u2019s Law Formula and solving problems, and many more.<\/p>\n<h2><strong>Ohm\u2019s Law<\/strong><\/h2>\n<p>As per Ohm\u2019s Law, the voltage across a conductor is directly proportional to the current flowing through it, and this, provided all the physical conditions and temperatures stay constant and unchanged.<\/p>\n<p>Thus, Ohm\u2019s Law states that the current flowing through the conductor is directly proportional to the voltage across the circuit, i.e. V \u221d I. Ohm\u2019s Law establishes the basic relation between the voltage applied and current through the conductor. Ohm\u2019s Law is known to be the most important and primary basic law that helps us in dealing with electric circuits. Ohm\u2019s Law also establishes that the current has a linear relationship with voltage.<\/p>\n<h2><b><span data-contrast=\"auto\">Formula for Ohm\u2019s Law<\/span><\/b><\/h2>\n<p><img loading=\"lazy\" class=\"alignnone wp-image-1862\" src=\"https:\/\/www.tutoroot.com\/blog\/wp-content\/uploads\/2022\/08\/blog-03-300x139.jpg\" alt=\"Ohm's Law\" width=\"1297\" height=\"601\" srcset=\"https:\/\/www.tutoroot.com\/blog\/wp-content\/uploads\/2022\/08\/blog-03-300x139.jpg 300w, https:\/\/www.tutoroot.com\/blog\/wp-content\/uploads\/2022\/08\/blog-03-1024x475.jpg 1024w, https:\/\/www.tutoroot.com\/blog\/wp-content\/uploads\/2022\/08\/blog-03-768x357.jpg 768w, https:\/\/www.tutoroot.com\/blog\/wp-content\/uploads\/2022\/08\/blog-03.jpg 1346w\" sizes=\"(max-width: 1297px) 100vw, 1297px\" \/><\/p>\n<p>First of all, you must know that Ohm\u2019s Law Definition is a principle that explains the relationship between three important quantities as Resistance, Current, and Voltage. Moreover, according to this law, the voltage across a conductor is directly proportional to the current flowing through it, while other physical conditions and temperatures are said to be constant.<\/p>\n<p>Ohm\u2019s Law Formula is as follows:<\/p>\n<p style=\"text-align: center;\"><b><span data-contrast=\"auto\">V = IR<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:2,&quot;335551620&quot;:2,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/p>\n<table data-tablestyle=\"MsoTableGrid\" data-tablelook=\"1696\" aria-rowcount=\"4\">\n<tbody>\n<tr aria-rowindex=\"1\">\n<td data-celllook=\"0\"><b><span data-contrast=\"auto\">Quantity<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:2,&quot;335551620&quot;:2,&quot;335559740&quot;:259}\">\u00a0<\/span><\/td>\n<td data-celllook=\"0\"><b><span data-contrast=\"auto\">Function<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:2,&quot;335551620&quot;:2,&quot;335559740&quot;:259}\">\u00a0<\/span><\/td>\n<td data-celllook=\"0\"><b><span data-contrast=\"auto\">Unit of Measurement<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:2,&quot;335551620&quot;:2,&quot;335559740&quot;:259}\">\u00a0<\/span><\/td>\n<td data-celllook=\"0\"><b><span data-contrast=\"auto\">Ohm\u2019s Law Symbol\u00a0<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:2,&quot;335551620&quot;:2,&quot;335559740&quot;:259}\">\u00a0<\/span><\/td>\n<\/tr>\n<tr aria-rowindex=\"2\">\n<td data-celllook=\"0\"><span data-contrast=\"auto\">Voltage<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:2,&quot;335551620&quot;:2,&quot;335559740&quot;:259}\">\u00a0<\/span><\/td>\n<td data-celllook=\"0\"><span data-contrast=\"auto\">Pressure causing flow of electrons<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:2,&quot;335551620&quot;:2,&quot;335559740&quot;:259}\">\u00a0<\/span><\/td>\n<td data-celllook=\"0\"><span data-contrast=\"auto\">Volt(V)<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:2,&quot;335551620&quot;:2,&quot;335559740&quot;:259}\">\u00a0<\/span><\/td>\n<td data-celllook=\"0\"><span data-contrast=\"auto\">E<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:2,&quot;335551620&quot;:2,&quot;335559740&quot;:259}\">\u00a0<\/span><\/td>\n<\/tr>\n<tr aria-rowindex=\"3\">\n<td data-celllook=\"0\"><span data-contrast=\"auto\">Current<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:2,&quot;335551620&quot;:2,&quot;335559740&quot;:259}\">\u00a0<\/span><\/td>\n<td data-celllook=\"0\"><span data-contrast=\"auto\">Rate of Flow of Electrons<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:2,&quot;335551620&quot;:2,&quot;335559740&quot;:259}\">\u00a0<\/span><\/td>\n<td data-celllook=\"0\"><span data-contrast=\"auto\">Amp(A)<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:2,&quot;335551620&quot;:2,&quot;335559740&quot;:259}\">\u00a0<\/span><\/td>\n<td data-celllook=\"0\"><span data-contrast=\"auto\">I<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:2,&quot;335551620&quot;:2,&quot;335559740&quot;:259}\">\u00a0<\/span><\/td>\n<\/tr>\n<tr aria-rowindex=\"4\">\n<td data-celllook=\"0\"><span data-contrast=\"auto\">Resistance<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:2,&quot;335551620&quot;:2,&quot;335559740&quot;:259}\">\u00a0<\/span><\/td>\n<td data-celllook=\"0\"><span data-contrast=\"auto\">Flow Inhibitor<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:2,&quot;335551620&quot;:2,&quot;335559740&quot;:259}\">\u00a0<\/span><\/td>\n<td data-celllook=\"0\"><span data-contrast=\"auto\">Ohm(<\/span><span data-contrast=\"auto\">\u03a9)<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:2,&quot;335551620&quot;:2,&quot;335559740&quot;:259}\">\u00a0<\/span><\/td>\n<td data-celllook=\"0\"><span data-contrast=\"auto\">R<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:2,&quot;335551620&quot;:2,&quot;335559740&quot;:259}\">\u00a0<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2><strong>Units of Measurement: Volt(V), Amp(A), Ohm(\u03a9)<\/strong><\/h2>\n<p>Similar to all other physical quantities involved in the subject, Ohm\u2019s law has its own units of measurement. More importantly, Ohm\u2019s law has a dedicated symbol to signify each quantity involved such as,<\/p>\n<ul>\n<li><span data-contrast=\"auto\">Current = I<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/li>\n<li><span data-contrast=\"auto\">Voltage = V or E<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/li>\n<li><span data-contrast=\"auto\">Resistance = R<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/li>\n<\/ul>\n<p>Besides, each quantity also has a specified unit measurement, to calculate the experimental values, and is generally named after the scientists who invented them. For instance, the Volt is named after its founder, Alessandro Volta, while Ohm is after German George Simon Ohm, and lastly, Amp is after Andre M. Ampere.<\/p>\n<p>Ohm\u2019s Law is established more effectively in situations when physical conditions such as temperature and others are constant. This is because the current flowing through the circuit varies according to the changes in the temperature. Hence, in circumstances where physical factors like temperature turn influential, Ohm\u2019s law is seen as violating.<\/p>\n<h4><strong>Ohm\u2019s Law Unit<\/strong><\/h4>\n<p>Besides Ohm\u2019s Law Formula, the law that has three physical quantities associated with it needs to be understood. These three factors of Ohm Law are:<\/p>\n<ul>\n<li>Current<\/li>\n<li>Voltage<\/li>\n<li>Resistance<\/li>\n<\/ul>\n<h2><b><span data-contrast=\"none\">Relationship Between Voltage, Current, and Resistance<\/span><\/b><\/h2>\n<p><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559740&quot;:259}\"> <img loading=\"lazy\" class=\"alignnone wp-image-1860\" src=\"https:\/\/www.tutoroot.com\/blog\/wp-content\/uploads\/2022\/08\/Ohms-Law-1-300x135.png\" alt=\"Relationship Between Voltage, \" width=\"758\" height=\"341\" srcset=\"https:\/\/www.tutoroot.com\/blog\/wp-content\/uploads\/2022\/08\/Ohms-Law-1-300x135.png 300w, https:\/\/www.tutoroot.com\/blog\/wp-content\/uploads\/2022\/08\/Ohms-Law-1.png 576w\" sizes=\"(max-width: 758px) 100vw, 758px\" \/><\/span><\/p>\n<p><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:2,&quot;335551620&quot;:2,&quot;335559740&quot;:259}\">\u00a0<\/span><\/p>\n<p><span data-contrast=\"auto\">From the above sections, as you can guess, the voltage, current, and resistance quantities have a relationship with each other which is explained by Ohm\u2019s Law.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/p>\n<p><b><span data-contrast=\"auto\">E = I \u00d7 R<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/p>\n<p><span data-contrast=\"auto\">For Calculating Current, I = E\/R or V\/R<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/p>\n<p><span data-contrast=\"auto\">Resistance, = E\/I or V\/I<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/p>\n<h2><b><span data-contrast=\"none\">Ohm&#8217;s Law Experimental Verification<\/span><\/b><\/h2>\n<p><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:2,&quot;335551620&quot;:2,&quot;335559740&quot;:259}\"> <img loading=\"lazy\" class=\"alignnone wp-image-1861\" src=\"https:\/\/www.tutoroot.com\/blog\/wp-content\/uploads\/2022\/08\/8ef39c0e9fca57b731f6231ef3b303ac5eb3918aaa3517.54170059experimentohmslawATE-300x184.png\" alt=\"Ohm's Law Experiment Setup\" width=\"597\" height=\"366\" srcset=\"https:\/\/www.tutoroot.com\/blog\/wp-content\/uploads\/2022\/08\/8ef39c0e9fca57b731f6231ef3b303ac5eb3918aaa3517.54170059experimentohmslawATE-300x184.png 300w, https:\/\/www.tutoroot.com\/blog\/wp-content\/uploads\/2022\/08\/8ef39c0e9fca57b731f6231ef3b303ac5eb3918aaa3517.54170059experimentohmslawATE.png 335w\" sizes=\"(max-width: 597px) 100vw, 597px\" \/><\/span><\/p>\n<p><b><span data-contrast=\"auto\">Apparatus<\/span><\/b><\/p>\n<ul>\n<li><span data-contrast=\"auto\">Voltmeter<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/li>\n<li><span data-contrast=\"auto\">Ammeter<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/li>\n<li><span data-contrast=\"auto\">Battery<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/li>\n<li><span data-contrast=\"auto\">Plug Key<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/li>\n<li><span data-contrast=\"auto\">Rheostat<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/li>\n<li><span data-contrast=\"auto\">Resistor<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/li>\n<\/ul>\n<p><span data-contrast=\"auto\">To verify Ohm\u2019s Law Derivation, the candidates must follow the steps given below. <\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/p>\n<h2><b><span data-contrast=\"auto\">Procedure<\/span><\/b><\/h2>\n<ul>\n<li><span data-contrast=\"auto\">Firstly, adjust the rheostat in a way that the K component is closed, and get a minimum reading on Ammeter (A) and Voltmeter(V).<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/li>\n<li><span data-contrast=\"auto\">Now, the current is slowly increased by gradually moving the rheostat. Now the current flow in the circuit and the potential difference in value across the resistance wire are noted.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/li>\n<li><span data-contrast=\"auto\">After this, different sets of values of current and voltage are obtained, and at the same time, the ratio of V\/I is calculated for each one of these sets.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/li>\n<li><span data-contrast=\"auto\">Moreover, you should know that the calculated V\/I value is equal to Resistance, R which is constant.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/li>\n<li><span data-contrast=\"auto\">And lastly, draw a graph between the potential difference against the current, which will explain, why the current is proportional to a potential difference.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/li>\n<\/ul>\n<h3><strong>Ohm\u2019s Law Magic Triangle<\/strong><\/h3>\n<p>Ohm\u2019s Law Magic Triangle is an illustrative representation that helps us get oriented about the Ohm\u2019s Law relation between voltage, current, and resistance. This triangle helps remember the order of the relationship between the three main aspects: current (I), voltage (V), and resistance (R).<\/p>\n<p>If the value of voltage is what we need to get and the current and resistance values are present, then to calculate voltage simply cover V at the top. So, now we have the I and R or I \u00d7 R. Thus, the Voltage equation is Current multiplied by Resistance.<\/p>\n<h4><strong>Vector Form of Ohm\u2019s Law<\/strong><\/h4>\n<p>The Ohm\u2019s law vector form is,<\/p>\n<p>vec = \u03c3vec{E}<\/p>\n<p>where<\/p>\n<p>vec is Current Density vector,<\/p>\n<p>vec{E} is Electric Field vector,<\/p>\n<p>\u03c3 is conductivity of material.<\/p>\n<h4><strong>Calculating Electrical Power Using Ohm\u2019s Law<\/strong><\/h4>\n<p><strong>What is electric power?<\/strong><\/p>\n<p>Electric power is the rate at which energy is converted from the electrical energy of the moving charges to another form of energy such as heat, mechanical energy, or energy stored in magnetic fields or electric fields. We all know that the unit of electric power is watt. This electrical power is calculated by applying Ohm\u2019s law and by substituting the values of voltage, current, and resistance.<\/p>\n<p><strong>Formula to find power<\/strong><\/p>\n<p>When the values for voltage and current are given,<\/p>\n<p>P = VI<\/p>\n<p>When the values for voltage and resistance are given,<\/p>\n<p>P =V2\/R<\/p>\n<p>When the values for current and resistance are given,<\/p>\n<p>P = I2R<\/p>\n<h2><strong>Applications of Ohm\u2019s Law<\/strong><\/h2>\n<p>In the circumstances where the other two numbers are known, Ohm\u2019s law is applied to arrive at the voltage, current, impedance, or resistance of a linear electric circuit.<\/p>\n<p><strong>Major applications of Ohm\u2019s Law:<\/strong><\/p>\n<ul>\n<li>Ohm\u2019s Law makes power calculations easier<\/li>\n<li>Ohm\u2019s Law is applied to maintain the desired voltage drop between the electrical components<\/li>\n<li>To determine the electric circuit\u2019s voltage, resistance, or current<\/li>\n<li>Ohm\u2019s law is also used to redirect current in DC ammeters and other DC shunts<\/li>\n<\/ul>\n<h2><b><span data-contrast=\"auto\">Conclusion<\/span><\/b><\/h2>\n<p><span data-contrast=\"auto\">In the above article, we have helped you understand Ohm\u2019s Law, its various formulas, applications, and many more. And if you are having problems understanding other formulas and principles, in Physics. Then the <a href=\"https:\/\/www.tutoroot.com\/all-courses\"><strong>online interactive classes<\/strong><\/a> with expert staff guidance from the <a href=\"https:\/\/www.tutoroot.com\/\"><strong>Tutoroot<\/strong><\/a> might be very beneficial for you. Additionally, the tutoring programs have many other unique features and benefits such as Doubt Clarification Sessions, Best Study Materials, Mock Tests, and many more.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/p>\n<h2><strong>FAQs<\/strong><\/h2>\n<p><strong>What is the law or Ohm Law definition?<\/strong><\/p>\n<p>As per Ohm\u2019s Law, the voltage across a conductor is directly proportional to the current flowing through it, and this, provided all the physical conditions and temperatures stay constant and unchanged.<\/p>\n<p>Thus, Ohm\u2019s Law states that the current flowing through the conductor is directly proportional to the voltage across the circuit, i.e. V \u221d I. Ohm\u2019s Law establishes the basic relation between the voltage applied and current through the conductor. Ohm\u2019s Law is known to be the most important and primary basic law that helps us in dealing electric circuits. Ohm\u2019s Law also establishes that the current has a linear relationship with voltage.<\/p>\n<p><strong>What are the 3 formulas in Ohm&#8217;s Law?<\/strong><\/p>\n<p>V = R x I<\/p>\n<p>R = V\/I<\/p>\n<p>I = V\/R<\/p>\n<p><strong>What is the SI unit of Ohm&#8217;s law?<\/strong><\/p>\n<p>The SI unit is Ohm (\u03a9)<\/p>\n<p><strong>Who discovered Ohm&#8217;s Law?<\/strong><\/p>\n<p>German physicist Georg Simon Ohm<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Ohm\u2019s Law is a very important concept in the Physics subject, as many chapters and principles are derived from it. Most of the high-weightage questions and problems that students encounter &hellip; <a href=\"https:\/\/www.tutoroot.com\/blog\/ohms-law-definition-formula-applications-solved-problems\/\" class=\"more-link\">Read More<\/a><\/p>\n","protected":false},"author":7,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[12],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v19.4 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>What is Ohm&#039;s Law? - Definition, Formula, Applications [updated]<\/title>\n<meta name=\"description\" content=\"Here is the latest article, visit here today to learn the ohm&#039;s law definition, ohm&#039;s law history, ohms law derivation and many more in easier way!!\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.tutoroot.com\/blog\/ohms-law-definition-formula-applications-solved-problems\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"What is Ohm&#039;s Law? 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