The values for the components of the circuit shown in the figure are V = 13 V, C
ID: 1559099 • Letter: T
Question
The values for the components of the circuit shown in the figure are V = 13 V, C = 4.4 mu F, and L = 150 mH. When the capacitor is fully charged, you simultaneously open switch S_1 and close switch S-2. Find the frequency of the resulting oscillations, in hertz. A numeric value is expected and not an expression. f = What is the maximum charge on the capacitor, in coulombs, during the oscillations? A numeric value is expected and not an expression. q_max = Find the maximum current through the inductor, in amperes, during the oscillations. A numeric value is expected and not an expression. i_0 = What is the electromagnetic energy of the oscillating circuit, in joules? A numeric value is expected and not an expression. E =Explanation / Answer
a)
frequency of oscillation,
f = (1/sqrt(LC))/(2*pi)
= (1/sqrt(150*10^-3*4.4*10^-6))/(2*pi)
= 195.9 Hz
b)
Maximum charge, Q = CV = 4.4*10^-6*13 = 5.72*10^-5 C
c)
Maximum current, = sqrt(CV^2/L)
= sqrt(4.4*10^-6*13^2/0.15)
= 0.0704 A
d)
Energy oscillating = 0.5*CV^2
= 0.5*4.4*10^-6*13^2
= 3.72*10^-4 J
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