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December 21, 2014

Homework Help: Physics

Posted by rishabh gupta on Wednesday, May 1, 2013 at 2:52pm.

Consider the series RLC circuit in which R2<4L/C (underdamped).

Assume that at t=0 , the charge on the capacitor has its maximum value.

(a) The differential equation obeyed by the potential across the capacitor can be written in the following form

d2V/dt2+a*dV/dt+b*V=0
a) Express a in term of, if necessary, R, L, C.

Express b in term of, if necessary, R, L, C.


In the circuit above, R=251 Ohm, L=0.07 H, C=2e-06 F.

(b) What is the decay constant (in seconds) according to which the charge on the capacitor is decaying?

(c) The times at which the total energy stored in the RLC circuit is exclusively of electric nature can be written as

t= a+bn n=0,1,2,3,
What is b?

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