The initial energy stored in the 31.25 nF capacitor in the circuit in Fig. P8.41 is 9 Ă‚ÂµJ. 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.
Ă‚Â b) Find the numerical values of i(0) and di(0)>dt immediately after the switch has been closed.
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c) Find i(t) for t Ă˘â€°ÂĄ 0.
Ă‚Â d) How many microseconds after the switch closes does the current reach its maximum value?
Ă‚Â e) What is the maximum value of i in milliamperes?
Ă‚Â f) Find vL(t) for t Ă˘â€°ÂĄ 0.