Resonance Rlc

Question

Resonant angular frequency ω0 in series RLC circuit?

RankGuru · Accepted Answer

1. **Impedance Formula**: $Z = \sqrt{R^2 + (X_L - X_C)^2}$, where $X_L = \omega L$ and $X_C = 1 / \omega C$.
2. **Condition for Resonance**: Resonance occurs when the current amplitude is maximum, which happens when impedance $Z$ is minimum.
3. **Minimizing Z**: This requires $X_L = X_C$, so the reactive components cancel each other out.
4. **Solving for Frequency**:
   - $\omega_0 L = \frac{1}{\omega_0 C} \implies \omega_0^2 = \frac{1}{LC}$
   - $\omega_0 = \frac{1}{\sqrt{LC}}$
5. **At Resonance**: The circuit behaves as a purely resistive circuit, and current is in phase with voltage.

Resonance Rlc

Select the correct option:

🔒 Solution Hidden from View

More em induction and ac Practice Questions

Power factor of AC circuit equals?

For i = I0 sin ωt, RMS current equals?

Time constant τ for RL circuit (R, L) equals?

Eddy currents are?

Mutual inductance between two coils depends on?

AC generator works on principle of?

Inductive reactance X_L equals?

Ideal transformer relation between voltages and turns: Vp/Vs = ?

Average power in AC circuit P_avg equals?

Self-induced emf in coil ε = -L (dI/dt). L depends on?

Magnitude of induced emf equals rate of change of?

Energy stored in inductor of inductance L carrying current I?

About This Question

Solution