What is the resonant frequency of an RLC circuit with the given values of resistance (R = 30 Ω), inductance (L = 1.3 mH), and capacitance (C = 30 μF)?

Question

Question

This question was previously asked in

SSC JE Electrical 4 Dec 2023 Official Paper II

Answer 1

Note: This question was considered as marks to all from SSC-JE as none of the options given was right. We have modified our options accordingly

Concept:

The resonant frequency of a series RLC circuit is given by,

\({{f}_{r}}=\frac{1}{2\pi \sqrt{LC}}\)

Where fr is the resonant frequency

L is inductance

C is capacitance

Calculation:

Given: L = 1.3 mH, and C = 30 μF.

Resonant frequency will be:

\({{f}_{r}}=\frac{1}{2\pi \sqrt{1.3\times {{10}^{-3}}\times {{30}\times10^{-6}}}}\)

fr = 805.91 Hz