The correct relation between heat produced H and electric current I is-A- H directly proportional to 1-IB- H directly proportional to I 2C- H directly proportional to 1 - I 2-D- H directly proportional to I

The correct option is B H directly proportional to I2 We know, Heat produced H = Work done W Work done W = VQ = VIt Heat produced H = VIt Potential differen ...

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Standard X

Physics

Energy

The correct r...

Question

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

H directly proportional to I

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H directly proportional to (1/I)

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H directly proportional to I²

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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 $W$ = $V Q$ = $V I t$

Heat produced $H$ = $V I t$

Potential difference $V$ = $I R$

Heat produced $H$ = $I^{2} R t$

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

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