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Inductors, RL Circuits, and Magnetic Effects

Manual: General · Subject: Electronics

Analyze inductive behavior, magnetic storage, and current transients in RL circuits.

Current, Magnetism, and Inductance

What inductors do

An inductor stores energy in a magnetic field when current flows through it. The key equation is v=Ldidtv = L\frac{di}{dt}, which means an inductor resists changes in current. This property is essential in power supplies, filters, motors, and resonant circuits.

Inductor essentials

Inductance LL
Measured in henries; indicates how strongly voltage is induced by changing current.
Energy stored
E=12LI2E = \frac{1}{2}LI^2
RL time constant
τ=LR\tau = \frac{L}{R}
Opposition to change
Current cannot change instantly through an ideal inductor.
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Real-world note

Inductors often have winding resistance and magnetic saturation. These non-ideal effects matter in power electronics and high-current designs.

Which statement about an ideal inductor is correct?

What is the RL time constant for L=20 mHL = 20\,\text{mH} and R=5 ΩR = 5\,\Omega?

What happens to an inductor’s current immediately after a sudden switch-off in an ideal circuit?

Name one practical use of inductors.

Thinking about transient current

  1. 1

    Step 1: Determine the circuit resistance seen by the inductor.

  2. 2

    Step 2: Calculate τ=L/R\tau = L/R.

  3. 3

    Step 3: Use the transient curve to estimate current growth or decay.

  4. 4

    Step 4: Include non-ideal effects if the circuit is high power or high frequency.