Identify the incorrect option out of the following for the adjoining AC circuit.

Moderate

A

The voltage across the resistance is leading by 90° than the voltage across the capacitor.
B

The voltage across the resistance is lagging by 180° than the voltage across the capacitor.
C

The voltage across the inductor is leading by 90° than the voltage across the resistance.
D

Resistance of the circuit is not equal to reactance of the circuit.

Solution

We can see from the given circuit that this is a series LCR circuit. From the given data, it is seen that inductive reactance is equal to capacitive reactance.
i.e., X_L = X_C
Therefore, the circuit is in resonance, so current in the circuit is in phase with the applied voltage and voltage across the resistor is in phase with the applied current.
As, Voltage across inductor leads the current by $\frac{π}{2}$ and across a capacitor lags by $\frac{π}{2}$ .
So, the voltage across the resistance is leading by 90⁰ than the voltage across capacitor.

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