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RLC Circuits and Resonance - Engineering

Q1:

A 12  resistor, a 40 F capacitor, and an 8 mH coil are in series across an ac source. The resonant frequency is

A 28.1 Hz

B 281 Hz

C 2,810 Hz

D 10 kHz

ANS:B - 281 Hz

Exact formula is calculated as;
XL=XC.

2*π*f*L=1/(2*π*f*C).

for frequency we can simply it as;

2*π* f^2 *L=1/2*π*C.
f=1/2*π*√(L*C).