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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

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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.

  1. 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).

  2. 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.

  3. 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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