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

grav potential energy