1.
Given
LC circuit with C = 55*10^-6 F, L = 0.06 H
the resonance frequency when W_L = W_C
LC circuit resonance frequency is f_r = (1/(2pisqrt(L*C))
f_r = 1/(2pi(sqrT(0.06*55*10^-6))) Hz
f_r = 87.61 Hz
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2.
LCR circuit with , e = 120 V, f = 45 Hz
R = 100 ohm
C = 60*10^-6 F,
L = 65*10^-3 H
a) inductive reactance is X_L = W*L = 2pi*f*L = 2pi*45*65*10^-3 ohm = 18.38 ohm
b) capacitive reactance is X_C = 1/(W*C) = 1/(2pi*f*C) = 1/(2pi*45*60*10^-6) ohm = 58.95 ohm
c) reactance is X_c -X_L = 58.95-18.38 ohm = 40.57 ohm
d) impedance is Z = sqrt(R^2+(X_C-X_L)^2)
Z = sqrt(100^2+ 40.57^2) ohm = 107.92 ohm
e) rms current Irms = I_m/(sqrt(2))
I_m = (e/Z) = 120/107.92 A = 1.11 A
Irms = 1.11/(sqrt(2) A = 0.785 A
f) current amplitude is I_m = 1.11 A
J# 10: 29:2018: Monday Show all steps for full credit. 1. What is the resonance frequency...
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