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The initial energy stored in the 31.25 nF capacitor in the circuit in Fig. P8.41 is 9 µJ. The initial energy stored in the inductor is zero. The roots of the characteristic equation that describes the natural behavior of the current i are -4000 s-1 and -16,000 s-1

a) Find the numerical values of R and L.

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 b) Find the numerical values of i(0) and di(0)>dt immediately after the switch has been closed.

c) Find i(t) for t ≥ 0.

 d) How many microseconds after the switch closes does the current reach its maximum value?

 e) What is the maximum value of i in milliamperes?

 f) Find vL(t) for t ≥ 0.

The initial energy stored in the 31.25 nF capacitor in the circuit in Fig. P8.41 is 9 µ J. The...

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