Question

The natural frequency of the circuit shown in adjoining figure is

• A. \( \frac{1}{2 \pi \sqrt{LC}} \)
• B. \( \frac{1}{2 \pi \sqrt{2LC}} \)
• C. \( \frac{2}{\pi \sqrt{LC}} \)
• D. zero

Hint:

The natural frequency of an LC circuit is determined by its inductance and capacitance.

Answer 1

The Correct Option is A

Step 1: Understanding the resonance condition.
The natural frequency of an LC circuit is given by the formula \( f_0 = \frac{1}{2 \pi \sqrt{LC}} \), where \( L \) is the inductance and \( C \) is the capacitance.

Step 2: Conclusion.
The natural frequency of the given circuit is \( \frac{1}{2 \pi \sqrt{LC}} \), which corresponds to option (1).