Question

For the given curve between reactance $\left(X\right)$ and frequency $\left(f\right)$ of a series LCR circuit, the resonant frequency is -

Take dimensions of one square box as $1$ unit.

• A. $100\text{Hz}$
• B. $200\text{Hz}$
• C. $300\text{Hz}$
• D. $400\text{Hz}$

Answer 1

The correct option is B $200\text{Hz}$


At resonance, $X_L=X_C$

From figure, at point $P$, $X_L=X_C=20\Omega$

So, corresponding to this point, the resonant frequency is,

$f_0=2\times 100\text{Hz}=200\text{Hz}$

Hence, option $\left(B\right)$ is the correct answer.