An account voltage is connected to an RLC series circuit of resistance 5ohms, inductance 3mH, and a capacitor of 0.05f. calculate the resonance frequency

12.99 Hz

Explanation:

Resonance is said to occur in an RLC circuit when maximum current is obtained from the circuit. Hence at resonance; XL=XC and Z=R.

XL = inductive reactance, XC = capacitive reactance, Z = impedance, R = resistance

The resonance frequency is given by;

fo = 1/2π√LC

L = 3*10^-3 H

C = 0.05 F

π = 3.142

Substituting values;

fo = 1/2*3.142√3*10^-3 * 0.05

fo = 12.99 Hz

Therefore the resonance frequency of the RLC circuit is 12.99 Hz