Published by:
CGP EDU Academic Team
Published on: September 12, 2026
The natural frequency of a
circuit is equal to
Text Solution
Verified by ExpertsThe correct answer is:
C
To find the natural frequency of an LC circuit, we use the formula:
Natural Frequency (f):
$$ f = \frac{1}{2\pi\sqrt{LC}} $$
In this formula:
Each option represents a different combination of L and C and it's essential to recognize that in standard conditions since L and C are positive and in the same denominators for calculation, we choose the expression that accurately depicts the natural frequency. Analyzing all options, the third option corresponds to our derived formula: $$ \frac{1}{2\pi\sqrt{LC}} $$.
Therefore, the correct answer is C.
Natural Frequency (f):
$$ f = \frac{1}{2\pi\sqrt{LC}} $$
In this formula:
- L is the inductance in henries (H).
- C is the capacitance in farads (F).
Each option represents a different combination of L and C and it's essential to recognize that in standard conditions since L and C are positive and in the same denominators for calculation, we choose the expression that accurately depicts the natural frequency. Analyzing all options, the third option corresponds to our derived formula: $$ \frac{1}{2\pi\sqrt{LC}} $$.
Therefore, the correct answer is C.
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