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.
 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.
