Question

*21. For the network in Fig. 11.88: Determine the mathematical expressions for the current and the voltage UL following the closing of the switch. a. b. Repeat part (a) if the switch is opened at 1 ps. c. Sketch the waveforms of parts (a) and (b) on the same set of axes. FIG. 11.88 Problem 21 .

Answer 1

I_L(t) = 6 - 6 e^-2t times d/4.7 times mp^3 = 6 - 6 e^-2t times 10^6/4.7 case ii: - switched operand at t = 1 mu sec i_L(t) _@ = 1 mu = 6 - 6 e^-2 times 1 time 10^-6 times 10^6 = 5.346 amp now inducted acits as current score at t = 0^t i_L (infinity) = 0 doublerightarrow aqs total energy will be depending results i(t0 = i(infinity) + [i9o) ^+ - i(infinity)] e^-t/z i(infinity) = 0 i(o^+) = 5.436 = 5.346 e^-t/z i(t0 = 5.346 times e^-t times 12 times 10^6/47 amps z = L?R resistance seen by inducate = 12 k ohm L = 4.7 times 10^-3/12 times 10^3 l = 4.7/12 times 10^-6 l = 0.39166 times 10^-6 sec \r\n case - 1: - c_2(t) = 6 - 6 e^-2 t times 10^6 amps case 2: - l_2(t0 = 5.346 e^-12 t times 10^6 /4.7 amps case 2: - L_l(t) = 5.346 e^-12 t times 10^6/4.7 amps \r\n