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)? 

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SSC JE Electrical 4 Dec 2023 Official Paper II
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  1. 625.23 Hz
  2. 306.63 Hz
  3. 805.91 Hz
  4. 100.53 Hz

Answer (Detailed Solution Below)

Option 3 : 805.91 Hz
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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

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