List of top Physics Questions on Electromagnetic Field (EMF) asked in IIT JAM PH

A thin conducting square loop of side $L$ is placed in the first quadrant of the $xy$-plane with one of the vertices at the origin. If a changing magnetic field $\vec{B}(t) = B_0(52yt\,\hat{x} + xzt\,\hat{y} + 3y^2t^2\,\hat{z})$ is applied, where $B_0$ is a constant, then the magnitude of the induced electromotive force in the loop is:

A rectangular loop of dimensions $l$ and $w$ moves with a constant speed $v$ through a region containing a uniform magnetic field $B$ directed into the paper and extending a distance of $4w$. Which of the following figures correctly represents the variation of emf $(\varepsilon)$ with the position $(x)$ of the front end of the loop?
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A current $ I = 10A $ flows in an infinitely long wire along the axis of a hemisphere. The value of $ \int (\mathbf{v} \times \mathbf{B}) \cdot d\mathbf{s} $ over the hemispherical surface as shown in the figure is:

The wave number of an electromagnetic wave incident on a metal surface is $ (20 \pi + 750) \, \text{m<}^{-1} $ inside the metal, where $ i = \sqrt{-1} $. The skin depth of the wave in the metal is:

A rectangular loop of dimension $ L $ and width $ w $ moves with a constant velocity $ v $ away from an infinitely long straight wire carrying a current $ I $ in the plane of the loop as shown in the figure below. Let $ R $ be the resistance of the loop. What is the current in the loop at the instant the near-side is at a distance $ r $ from the wire?

The electric field of an electromagnetic wave is given by $ \mathbf{E} = (2\hat{k} - 3\hat{j}) \times 10^{-3} \sin \left( 10^7 (x + 2y + 3z - \beta t) \right) $. The value of $ \beta $ is (c is the speed of light):

Consider two, single turn, co-planar, concentric coils of radii $ R_1 $ and $ R_2 $ with $ R_1 \gg R_2 $. The mutual inductance between the two coils is proportional to:

A current $ I = 10A $ flows in an infinitely long wire along the axis of a hemisphere. The value of $ \int (\mathbf{v} \times \mathbf{B}) \cdot d\mathbf{s} $ over the hemispherical surface as shown in the figure is:

The dispersion relation for electromagnetic waves travelling in a plasma is given as $ \omega^2 = c^2k^2 + \omega_p^2 $, where $ c $ and $ \omega_p $ are constants. In this plasma, the group velocity is: