TS EAMCET · Physics · Alternating Current
An oscillating circuit consisting of a capacitor with capacitance \(C=10 \mu \mathrm{F}\), a coil with inductance \(L=6.0 \mu \mathrm{H}\) and active resistance \(R=10 \Omega\). The mean power that should be fed to the circuit to maintain undamped harmonic oscillations with an external driving power with \(50 \mathrm{~Hz}\) and a \(V_m\) of \(280 \mathrm{~V}\) is
- A \(3.8 \mathrm{~W}\)
- B \(48 \mathrm{~W}\)
- C \(3 \mathrm{~mW}\)
- D \(48 \mathrm{~mW}\)
Answer & Solution
Correct Answer
(A) \(3.8 \mathrm{~W}\)
Step-by-step Solution
Detailed explanation
\( \text { } R=10 \Omega L=6 \mu \mathrm{H}, C=10 \mu \mathrm{H} \) Impedence of the circuit, \( Z=\sqrt{R^2+\left(X_C-X_L\right)^2} \) Capacitive reactance, \(X_C=\frac{1}{\omega C}=\frac{1}{2 \pi f C}\) \( X_C=\frac{1}{2 \times 314 \times 50 \times 10 \times 10^{-6}} \)…
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