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Question

The relation between the current I flowing through a conducting material, the potential V between its ends and its resistance R is given by: V=IR. The relation between Power P ,current I and resistance R can be given as I=PR , which of the following is the correct relation between P in terms of V and R?

A
P=RV2
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B
P=VR
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C
P=V2R
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D
P=V2R3
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Solution

The correct option is C P=V2R
Given V=IR and I=PR
Then V=IR
Put the value I in equation, we get
V=PR×R
Squaring both sides, we get
V2=PR×R2
V2=PR
P=V2R

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