Published by:
CGP EDU Academic Team
Published on: September 12, 2026
The natural frequency of a 
circuit is equal to
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
B
To determine the natural frequency of an LC circuit, we use the formula for the resonant frequency, which is given by:
$$ f = \frac{1}{2\pi \sqrt{LC}} $$
This indicates that the natural frequency depends on the inductance (L) and capacitance (C) of the circuit. To identify which option corresponds to this formula, we can analyze the mathematical forms presented in the answer choices. Upon comparing the options, Option B
$$ f = \frac{1}{2\pi \sqrt{LC}} $$
matches the correct resonant frequency formula. Thus, the natural frequency of the circuit is given by the expression in Option B.
$$ f = \frac{1}{2\pi \sqrt{LC}} $$
This indicates that the natural frequency depends on the inductance (L) and capacitance (C) of the circuit. To identify which option corresponds to this formula, we can analyze the mathematical forms presented in the answer choices. Upon comparing the options, Option B
$$ f = \frac{1}{2\pi \sqrt{LC}} $$
matches the correct resonant frequency formula. Thus, the natural frequency of the circuit is given by the expression in Option B.
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