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Question

The correct relation between heat produced (H) and electric current (I) is?


A

H directly proportional to I

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B

H directly proportional to (1/I)

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C

H directly proportional to I2

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D

H directly proportional to (1/I2).

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Solution

The correct option is C

H directly proportional to I2


We know, Heat produced H = Work done W

Work done W = VQ = VIt

Heat produced H = VIt

Potential difference V = IR

Heat produced H = I2Rt

From this equation, we can conclude that heat produced is directly proportional to the square of the electric current.


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