(20%) Problem 5: A capacitor with capacitance C-1 F and inductance L-3H are conn
ID: 2039670 • Letter: #
Question
(20%) Problem 5: A capacitor with capacitance C-1 F and inductance L-3H are connected in parallel. The parallel network is in series with a DC power source having voltage V 7 V, a resistor with resistance R II kS2, and a switch, as shown in the figure. The switch is closed for a long time. At timet0 sec, the switch is opened ©theexpertta.com 33% Part (a) Determine the current, in amps, through the inductor at time 1-0 sec. 33% Part (b) Determine the voltage, in volts, across the capacitor at time 1-0 sec. 33% Part (c) Determine the current, in amps, through the inductor a time 1 s after the switch is opened Grade Summary Deductions 4% Potential i 0.63 103 96%Explanation / Answer
a) at t = 0,
Imax = V/R
= 7/(11*10^3)
= 6.36*10^-4 A
b) voltage across the capacitor, Vc = 0
c) angular requency oscillation, w = 1/sqrt(L*C)
= 1/sqrt(3*1)
= 0.577 rad/s
so,
I = Imax*cos(w*t)
at t = 1s,
I = 6.36*10^-4*cos(0.577*1)
= 5.33*10^-4 A <<<<<<<<<-------------------Answer
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