What does self-inductance measure?

State the definition of self-inductance.

State the self-induced emf of an inductor.

What is the SI unit of inductance?

An inductor has \(L=0.40\,\mathrm{H}\) and current increasing at \(3.0\,\mathrm{A\,s^{-1}}\). Find \(|\mathcal E_L|\).

A coil has \(N=500\), flux per turn \(2.0\times10^{-5}\,\mathrm{Wb}\), and current \(4.0\,\mathrm{A}\). Find \(L\).

Why does an inductor oppose changes in current?

If the current through an ideal inductor is constant, what is the induced emf?

A current decreases at \(8.0\,\mathrm{A\,s^{-1}}\) in a \(0.25\,\mathrm{H}\) inductor. Find the self-induced emf magnitude.

State the passive-sign voltage relation for an ideal inductor.

Derive \(\mathcal E_L=-L\,dI/dt\) from flux linkage.

State the inductance of a long solenoid of length \(l\), area \(A\), turn count \(N\), and permeability \(\mu\).

A long air-core solenoid has \(N=500\), \(A=2.0\times10^{-4}\,\mathrm{m^2}\), and \(l=0.10\,\mathrm{m}\). Estimate \(L\).

How does solenoid inductance change if the number of turns is doubled while geometry and core stay fixed?

How does inserting a high-permeability core affect an inductor?

A \(2.0\,\mathrm{H}\) inductor has voltage \(10\,\mathrm{V}\) across it using the passive sign convention. Find \(dI/dt\).

Why can inductor current not jump instantaneously in a finite-voltage circuit?

A solenoid has inductance \(0.010\,\mathrm{H}\). If its length is doubled without changing \(N\), \(A\), or core, estimate the new inductance.

A coil's flux linkage is \(N\Phi_B=0.030I\) in SI units. Find the inductance and the emf when \(dI/dt=12\,\mathrm{A\,s^{-1}}\).

Explain the difference between an inductor's passive voltage \(V_L=L\,dI/dt\) and its self-induced emf \(\mathcal E_L=-L\,dI/dt\).