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Question

The charge flowing through a resistance R varies with time as Q=2t8t2. The total heat produced (in joules) in the resistance is
(for 0t18 s)

A
R6
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B
R3
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C
R2
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D
R
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Solution

The correct option is A R6
Given, Q=2t8t2
We know that, i=dQdt=216t
Heat produced =R1/80(i)2.dt
=R1/80(216t)2.dt
=R[(216t)33(16)]1/80
=R48[08]
=R6 joules

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