TS EAMCET · Physics · Alternating Current
An initially charged undriven \(L C R\) circuit having inductance \(L\), capacitance \(C\) and resistance \(R\) will be
- A oscillate with frequency \(\frac{1}{\sqrt{L C}}\)
- B oscillate without damping, if \(R^2 < \frac{4 L}{C}\)
- C oscillate with damping, if \(R^2>\frac{4 L}{C}\)
- D oscillate with damping, if \(R^2 < \frac{4 L}{C}\)
Answer & Solution
Correct Answer
(D) oscillate with damping, if \(R^2 < \frac{4 L}{C}\)
Step-by-step Solution
Detailed explanation
In an \(L-C-R\) circuit (without any AC input), when \(\frac{R^2}{4 L^2}=\frac{1}{L C}\), charge decays exponentially and no oscillations occurs. When \(\frac{R^2}{4 L^2}>\frac{1}{L C}\), then also charge decays exponentially and no oscillations occurs. But when…
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