Question

In a series RLC circuit, if the resistance is 10Ω, inductance is 0.1H, and capacitance is 100μF, calculate the resonant frequency.

• A. 500 Hz
• B. 1000 Hz
• C. 1590 Hz
• D. 300 Hz

Hint:

For RLC circuits, use the formula $\frac{1}{2\pi\sqrt{LC}}$ to calculate the resonant frequency.

Answer 1

The Correct Option is A

The resonant frequency $f_r$ for a series RLC circuit is given by: \[ f_r = \frac{1}{2\pi\sqrt{LC}} \] Substituting the values: \[ f_r = \frac{1}{2\pi\sqrt{0.1 \times 100 \times 10^{-6}}} = 500 \, \text{Hz} \]