Page 397 - Basic Electrical Engineering

or,

or,

2
or, (X − X ) = 3 2
L
C
or, R = X − X C
L

Example 3.37 An inductive coil of resistance 10 Ω and inductance 20 mH
are connected in series with a capacitor of 10 μF. Calculate the frequency at

which the circuit will resonate. If a voltage of 50 V at resonant frequency was
applied across the circuit, calculate the voltage across the circuit components

and the Q-factor.

Solution:

−3
−6
R = 10 Ω, L = 20 × 10 H, C = 10 × 10 F
at resonance, X = L C
L

from which we get resonance frequency