An RLC circuit with a capacitance of 0.010 uF is found to resonant with a frequency of 8.63×103 Hz. What is the value of the inductor?
resonant frequency 1/ (2*pi*sqrt(LC)) Linductor CCapacitor therefore 8.63x10^3 1/ 2*pi*sqrt(L*0.010*10^-3) L1.35
At resonance wL - 1/wC 0 L 1/(w^2*C) L 1/((2*pi*8.63*10^3)^2*0.01*10^-6) L 0.034 H
w^2 4 pi^2 x 8.63^2 x 10^6 1/(L x 0.010x10^-12) or L 1/(4 x pi^2 x 8.63^2 x 10^6 x 0.010 x10^-12) 39.4 Henry
