Electromagnetism

A coil with 100 turns is subjected to a changing magnetic flux of 0.05 \text{ Wb/s}. What is the induced EMF in the coil?

A square loop of wire with side length $L$ is placed in a non-uniform magnetic field given by $B(x) = kx$, where $k$ is a constant and $x$ is the distance from one edge of the loop. If the loop is moved with a constant velocity $v$ such that $x = vt$, what is the induced EMF in the loop?

An LR circuit has an inductance of 2 H and a resistance of 4 ohms. What is the time constant of the circuit?

Which of Maxwell's equations implies that magnetic monopoles do not exist?

A circular loop of wire is placed in a uniform magnetic field. The magnetic field is perpendicular to the plane of the loop. If the magnetic field strength is increased, what is the direction of the induced current in the loop?

In an LR circuit with a time constant $\tau$, what is the current in the circuit at time $t = \tau$ if the maximum current is $I_{max}$?

An LR circuit has an inductance $L$, a resistance $R$, and is connected to a voltage source $V$. What is the energy stored in the inductor as a function of time?

A parallel-plate capacitor with circular plates of radius $R$ is being charged with a current $I$. What is the magnetic field at a distance $r < R$ from the center of the capacitor, according to Ampere-Maxwell's law?

A parallel-plate capacitor with circular plates of radius $R$ is being charged with a current $I$. Calculate the displacement current density between the plates and relate it to the rate of change of the electric field.