Given,
C = 89 x 10^-6 F ; R = 0.56 x 10^6 Ohms ; V = 40 V ; U = 49.1 x 10^-3 J
We know that, time constant is given by:
tau = RC
tau = 0.56 x 10^6 x 89 x 10^-6 = 49.84 s
Hence, tau = 49.84 s
the energy is:
U = 1/2 Q^2/C
Q = sqrt (2 U C)
Q = sqrt (2 x 49.1 x 10^-3 x 89 x 10^-6) = 0.0029 C
We know that,
Q = C V (1 - e^-t/RC)
0.0029 = 89 x 10^-6 x 40 (1 - e^-t/49.84)
0.81 = 1 - e^-t/49.84
e^-t/49.84 = 1 - 0.81 = 0.19
-t/49.84 = -1.66
t = 1.66 x 49.84 = 82.73 s
Hence, t = 82.73 s
9) For the circuit shown in the figure, the switch S is initially open and the...
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