In an experiment, 200 V A.C. is applied at the ends of an

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In an experiment, 200 V A.C. is applied at the ends of an LCR circuit. The circuit consists of an inductive reactance (X_L ) = 50 Ω, capacitive reactance (X_C ) = 50 Ω and ohmic resistance (R) = 10 Ω. The impedance of the circuit is

1. 10Ω
2. 20Ω
3. 30Ω
4. 40Ω

Correct Option: A

Given : Supply voltage (V_ac) = 200 V
Inductive reactance (X_L) = 50 Ω
Capacitive reactance (X_C) = 50 Ω
Ohmic resistance (R) = 10 Ω.
We know that impedance of the LCR circuit (Z) =
√{(X_L - X_C)² + R² }
√{(50 - 50)² + (10)² } = 10 Ω