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.

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

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

(a) 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?

2 answers

3.6*10^-3
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