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Q.

A 16  μFcapacitor, initially charged to 5 V, is starting charging at t =0 by a source at the rate of 40t  μCs−1. How long will it take to raise its potential to 10 V?

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a

1 s

b

2 s

c

3 s

d

none of these

answer is B.

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Detailed Solution

qi=CVi=16×5=80  μC,  qf=CVf=16×10=160  μCGiven dqdt=40⇒∫qiqfdq=∫0t40tor qf−qi=40t22or 160−80=20t2    or   T=2  s
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