Question

In a series LCR circuit, the voltage across the resistor, capacitor and inductor is \(10\ \text{V}\) each. If the capacitor is short circuited, the voltage across the inductor will be

• A. \(10\ \text{V}\)
• B. \(5\sqrt{2}\ \text{V}\)
• C. \(\dfrac{5}{\sqrt2}\ \text{V}\)
• D. \(10\sqrt2\ \text{V}\)

Hint:

If \(V_L=V_C\), the circuit is in resonance and \[ R=X_L. \] After removing the capacitor, treat the circuit as an \(RL\) circuit and use \[ Z=\sqrt{R^2+X_L^2}. \]

Answer 1

The Correct Option is D