Q.

The network shown in figure is part of the some bigger circuit. Charge on capacitor  (C=1F)  at any time t is q=3(2et)  in coulombs. If at  t=0 the potential of points A and B is 20 V each, then at   t=0 choose the correct statements

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a

current through  R is 7A

b

value of R is  2Ω

c

value of R is  1Ω

d

Current through 1Ω  in branch AP is 3A

answer is A, B, C.

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Detailed Solution

At t=0,                              q=3C,iAp=dqdt=3A,VC=qC=3V
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Potential drop across capacitor C=3V
Potential drop across resistor = (1x3) = 3V
Potential at point   P(VP)=20(3+3)=14V
 VP0=14V
Now, current through R is given by
 
i=VP0R=142=7A

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