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Electromagnetism}RC Circuit


One can immediately eliminate plots A, C, E, since one would expect an exponential decay behavior for current once the switch is flipped.

More rigorously, the initial circuit with the switch S connected to a has the following equation,


Once integrated, the equation becomes,



The charge stored on the capacitor after it is fully charged is Q=CV (at t=0).

When the switch S is switched to b, the equation becomes,

where Q_0=CV from the initial connection.

Current is the negative time derivative of charge, and thus,


The initial current IS I(0)=V/R, and thus choice (B) is right.

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Comments
testingtest
2009-05-18 03:08:59
okNEC
zaijings
2009-03-24 19:38:55
The EMF after switch to B must start with V/R, so only A and B are possible right. The current can not be the same all the time, eliminate A, so the right answer is B.NEC

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