Inductor Energy

Question

Energy stored in inductor of inductance L carrying current I?

RankGuru · Accepted Answer

1. **Mechanism**: Work must be done against the self-induced back emf ($\epsilon = -L\frac{di}{dt}$) to establish a current in an inductor. This work is stored as magnetic potential energy.
2. **Differential Work**: $dW = P \cdot dt = (\epsilon i) \cdot dt = (L \frac{di}{dt} \cdot i) \cdot dt = Li \cdot di$.
3. **Integration**: Total energy $U = \int_0^I Li \cdot di = L [\frac{i^2}{2}]_0^I$.
4. **Equation**: **$U = \frac{1}{2} L I^2$**.
5. **Location**: This energy is stored in the **magnetic field** of the inductor.

Inductor Energy

Select the correct option:

🔒 Solution Hidden from View

More em induction and ac Practice Questions

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

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

For i = I0 sin ωt, RMS current equals?

Average power in AC circuit P_avg equals?

Resonant angular frequency ω0 in series RLC circuit?

Power factor of AC circuit equals?

Eddy currents are?

Mutual inductance between two coils depends on?

AC generator works on principle of?

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

Inductive reactance X_L equals?

Magnitude of induced emf equals rate of change of?

About This Question

Solution