TS EAMCET · Physics · Alternating Current
A series \(L C R\) circuit is connected across a source of alternating emf of changing frequency and resonates at frequency \(f_0\). Keeping capacitance constant, if the inductance \((L)\) is increased by \(\sqrt{3}\) times and resistance is increased \((R)\) by 1.4 times, the resonant frequency now is
- A \(3^{1 / 4} f_0\)
- B \(\sqrt{3} f_0\)
- C \((\sqrt{3}-1)^{1 / 4} f_0\)
- D \(\left(\frac{1}{3}\right)^{1 / 4} f_0\)
Answer & Solution
Correct Answer
(D) \(\left(\frac{1}{3}\right)^{1 / 4} f_0\)
Step-by-step Solution
Detailed explanation
We knows in LCR circuits and \[ \begin{aligned} & f=\frac{1}{2 \pi \sqrt{L C}} \\ & f \propto \frac{1}{\sqrt{L}} \end{aligned} \] Here, in given condition…
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