COMEDK · Physics · 23. Alternating Current
For the same resonant frequency, if \(L\) is changed from \(L\) to \(\dfrac{L}{3}\), then capacitance should change from \(C\) to
- A \(\dfrac{C}{3}\)
- B \(3 C\)
- C \(\dfrac{2}{3} C\)
- D \(2 C\)
Answer & Solution
Correct Answer
(B) \(3 C\)
Step-by-step Solution
Detailed explanation
The resonant frequency \(f\) of an \(LC\) circuit is given by the formula \(f = \dfrac{1}{2\pi \sqrt{LC}}\). Since the resonant frequency \(f\) remains the same, the product \(LC\) must remain constant. Let the initial values be \(L\) and \(C\), and the new values be \(L'\) and…
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