A square loop of side $a$ and resistance $R$ is placed in a spatially uniform magnetic field $B$ that is perpendicular to its plane. The magnetic field decays exponentially with time according to $B(t) = B_0e^{-t/au}$. What is the total charge that flows through the loop from $t=0$ to $t=\infty$?

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:

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

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?

Two concentric coplanar circular loops carry currents $I_1$ and $I_2$ and have radii $R$ and $r$ respectively, with $R >> r$. Which of the following statements is true about the force experienced by the smaller loop due to the larger 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

Two concentric circular loops of radii $R_1$ and $R_2$ are placed in the same plane with their centers coinciding. If $R_1 >> R_2$, the mutual inductance $M$ between them will be directly proportional to

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?

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

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?