Using Ohm’s law, state three expressions for the electrical power that is dissipated in aresistor
Question
Using Ohm’s law, state three expressions for the electrical power that is dissipated in a resistor
Solution
Ohm's law states that the current through a conductor between two points is directly proportional to the voltage across the two points. The law is named after the German physicist Georg Ohm.
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The first expression for electrical power (P) in a resistor can be derived from the basic definition of power, which is power equals voltage times current (P=VI).
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The second expression can be derived by substituting Ohm's law (V=IR) into the first expression. By replacing V with IR, we get P=I^2R. This means that power is equal to the current squared times the resistance.
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The third expression can be derived by rearranging Ohm's law to I=V/R and substituting this into the first expression. By replacing I with V/R, we get P=V^2/R. This means that power is equal to the voltage squared divided by the resistance.
These three expressions give us different ways to calculate the power dissipated in a resistor, depending on what other quantities we know.
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