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Question

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


Correct Answer
A
R6 Joules
Your Answer
B
R3 Joules
Your Answer
C
R2 Joules
Your Answer
D
R Joules

Solution

The correct option is A R6 Joules
We know that,
i=dQdt=216t
Heat =R1/80(i)2.dt 
Heat =R1/80(216t)2.dt
Heat =R1/80(4+256t264t).dt
Heat =R[4t+256t3332t2]1/80
Heat =R⎢ ⎢ ⎢4(18)+256(18)3332(18)2⎥ ⎥ ⎥
Heat =R[(12)+16(12)]

Heat=R6 J 

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