Two coaxial solenoids of radii $r_1$ and $r_2$ ($r_2 > r_1$) have the same length $l$ and the same number of turns $N$. If the current in the outer solenoid changes at a rate of $\frac{dI}{dt}$, what is the induced emf in the inner solenoid?

A coil has a self-inductance of 2 H. When a current of 0.5 A flows through it, the total magnetic flux linked with the coil is:

A solenoid has 500 turns. A current of 8A produces a magnetic flux of $4 imes 10^{-3}$ Wb through each turn. What is the self-inductance of the solenoid?

A long solenoid with 2500 turns has a self-inductance of 5 H. If the magnetic flux linked with each turn is $8 imes 10^{-4}$ Wb, what is the current flowing through the solenoid?

If $100 \, mJ$ of energy is stored in an inductor when $200 \, mA$ of current flows through it, what is its inductance?

A circular loop of radius $r$ is placed concentrically within a much larger circular loop of radius $R$ ($R >> r$). If the current in the larger loop is $I$, which expression best approximates the magnetic flux through the smaller loop?

A small circular loop of radius $r$ is placed at the center of a larger circular loop of radius $R$ in the same plane. If $R >> r$, the mutual inductance $M$ between them is proportional to

A solenoid stores $12.5 \, mJ$ of magnetic potential energy when $50 \, mA$ flows through it. Calculate its inductance.

The self-inductance of a long solenoid with 1000 turns is 0.1 H. If a current of 4 A flows through it, what is the magnetic flux linked with each turn?

Two concentric circular coils of radii $a$ and $b$ lie in the same plane with their centers coinciding. If $a >> b$, how does the mutual inductance $M$ between the coils depend on $a$?

An inductor has an inductance of $L$. If the current flowing through it is $I$, and the magnetic potential energy stored in it is $U$, which of the following equations correctly relates these quantities?