MHT CET · Physics · Alternating Current
In series LCR resonant circuit, \(R=800 \Omega, C=2 \mu F\) and voltage across resistance is 200 V . The angular frequency is \(250 \mathrm{rad} / \mathrm{s}\). At resonance, the voltage across the inductance is
- A 400 V
- B 250 V
- C 1000 V
- D 500 V
Answer & Solution
Correct Answer
(D) 500 V
Step-by-step Solution
Detailed explanation
\(I = V_R / R = 200 \, \mathrm{V} / 800 \, \Omega = 0.25 \, \mathrm{A}\) \(X_L = 1 / (\omega C) = 1 / (250 \, \mathrm{rad/s} \times 2 \times 10^{-6} \, \mathrm{F}) = 2000 \, \Omega\)
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