HARD
JEE Advanced
IMPORTANT
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A rigid wire loop of square shape having side of length L and resistance R is moving along the x-axis with a constant velocity v0 in the plane of the paper. At t=0, the right edge of the loop enters a region of length 3L where there is a uniform magnetic field B0 into the plane of the paper, as shown in the figure. For sufficiently large v0, the loop eventually crosses the region. Let x be the location of the right edge of the loop. Let v(x), I(x) and F(x) represent the velocity of the loop, current in the loop, and force on the loop, respectively, as a function of x. Counter-clockwise current is taken as positive.

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Which of the following schematic plot(s) is(are) correct ? (Ignore gravity)

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Important Questions on Electromagnetic Induction and Alternating Currents

HARD
JEE Advanced
IMPORTANT

In the circuit shown below, the key is pressed at time t=0. Which of the following statement(s) is(are) true?
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HARD
JEE Advanced
IMPORTANT

A long straight wire carries a current, I=2 ampere. A semi-circular conducting rod is placed beside it on two conducting parallel rails of negligible resistance. Both the rails are parallel to the wire. The wire, the rod and the rails lie in the same horizontal plane, as shown in the figure. Two ends of the semi-circular rod are at distances 1 cm and 4 cm from the wire.  At time t=0, the rod starts moving on the rails with a speed v=3.0 m s-1 (see the figure).

A resistor R=1.4 Ω and a capacitor C0=5.0 μF are connected in series between the rails. At time t=0C0 is uncharged. Which of the following statement(s) is (are) correct? [μ0=4π×107 SI units. Take ln2=0.7]

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HARD
JEE Advanced
IMPORTANT

A light disc made of aluminium (a nonmagnetic material) is kept horizontally and is free to rotate about its axis as shown in the figure. A strong magnet is held vertically at a point above the disc away from its axis. On revolving the magnet about the axis of the disc, the disc will (figure is schematic and not drawn to scale)

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HARD
JEE Advanced
IMPORTANT
A conducting wire of parabolic shape, initially y=x2, is moving with velocity V=V0i^ in a non-uniform magnetic field B=B01+yLβk^, as shown in figure. If V0,B0,L and β are positive constants and Δϕ is the potential difference developed between the ends of the wire, then the correct statement(s) is/are:

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HARD
JEE Advanced
IMPORTANT
In the circuit shown, initially there is no charge on capacitors and keys S1 and S2 are open. The values of the capacitors are C1=10μF,C2=30μF and C3=C4=80μF.
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Which of the statement(s) is/are correct?
HARD
JEE Advanced
IMPORTANT
In the figure below, the switches S1 and S2 are closed simultaneously at t = 0 and a current starts to flow in the circuit. Both the batteries have the same magnitude of the electromotive force (emf) and the polarities are as indicated in the figure. Ignore mutual inductance between the inductors. The current I in the middle wire reaches its maximum magnitude Imax time t =τ. Which of the following statements is (are) true?

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MEDIUM
JEE Advanced
IMPORTANT
In the circuit shown, L = 1 μH, C=1 μF and R=1 kΩ.  They are connected in series with an a.c. source V=V0 sinωt as shown. Which of the following options is/are correct?
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HARD
JEE Advanced
IMPORTANT
 A circular insulated copper wire loop is twisted to form two loops of area A  and 2A as shown in the figure. At the point of crossing the wires remain electrically insulated from each other. The entire loop lies in the plane (of the paper). A uniform magnetic field B  points into the plane of the paper. At t = 0, the loop starts rotating about the common diameter as axis with a constant angular velocity in the magnetic field. Which of the following options is/are correct?
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