Question

14. An ac is passed through a series LCR circuit. What is the impedance of the circuit at resonance?​

Answer 1

Explanation:

At resonance the impedance of the circuit is equal to the resistance value as Z = R. At low frequencies the series circuit is capacitive as: XC > XL, this gives the circuit a leading power factor. At high frequencies the series circuit is inductive as: XL > XC, this gives the circuit a lagging power factor.Aug 6, 2020

Answer 2

Answer:

Resonance occurs when XL = XC and the imaginary part of the transfer function is zero. At resonance the impedance of the circuit is equal to the resistance value as Z = R. At low frequencies the series circuit is capacitive as: XC > XL, this gives the circuit a leading power factor.

XL = XC

$2\pi \: f \: l \: = \frac{1}{2\pi \: f c}$

$f \: = \frac{1}{2\pi \sqrt{lc} }$