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Question

How much heat is generated when current I is passed through a resistor for time t?


A

IR2 t

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B

I2R/t

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C

VI/t

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D

I2Rt

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Solution

The correct option is D

I2Rt


When an electric charge Q moves against a potential V, the amount of work done is given by, W = Q × V,

Q = I × t,

From ohm’s law, V = IR

W = I2 × R × t

When all the electrical energy is converted into heat energy, we have

W = H = I2 ×R × t


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