NEET Physics Electromagnetic Induction MCQs

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 toroidal solenoid with $N$ turns and mean radius $r$ carries a current $I$. A single loop of wire is wrapped around the toroid. If the current in the solenoid is changing at a rate $\frac{dI}{dt}$, what is the induced emf in the single loop?

A square loop of side $a$ is moving with velocity $v$ in a uniform magnetic field $B$ perpendicular to its plane. The induced emf in the loop when its one side is outside the field is:

A square loop of side 10 cm is moved with a velocity of 5 m/s perpendicular to a magnetic field of 0.5 T. The emf induced in the loop is:

Motional emf is induced due to the change in:

A coil of 100 turns and area $0.01 m^2$ is placed perpendicular to a magnetic field of 0.2 T. If the field is reversed in 0.1 seconds, the induced emf in the coil is:

Two coils are placed close to each other. The mutual inductance between them will be highest when:

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 long solenoid of diameter $0.1\,ext{m}$ has $2 imes 10^4$ turns per meter. At the center of the solenoid, a coil of 100 turns and radius $0.01\,ext{m}$ is placed with its axis coinciding with the solenoid axis. The current in the solenoid reduces at a constant rate to $0\,ext{A}$ from $4\,ext{A}$ in $0.05\,ext{s}$. If the resistance of the coil is $10\pi^2\,\Omega$, the total charge flowing through the coil during this time is

A long solenoid with 5000 turns per meter and a diameter of 0.2 m has a coil of 50 turns and radius 0.02 m placed at its center, with axes aligned. The current in the solenoid decreases uniformly from 2 A to 0 A in 0.02 s. If the coil's resistance is $5\pi^2\,\Omega$, what total charge flows through the coil during this time?