Home Maths JEE - Advanced Previous Year Paper JEE-Advanced-2021-Paper-1 A long straight wire carries a current, I = …
Maths JEE - Advanced Previous Year Paper JEE-Advanced-2021-Paper-1 Single Correct MCQ
Published on: August 13, 2026

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 (see the figure)

A resistor R = 1.4 and a capacitor C 0 = 5.0 F are connected in series between the rails. At time t = 0, C 0 is uncharged. Which of the following statement(s) is(are) correct? [ SI units. Take n2 = 0.7]

A
Maximum current through R is 1.2 x 10 -6 ampere
B
Maximum current through R is 3.8 x l0 -6 ampere
C
Maximum charge on capacitor C 0 is 8.4 x 10 -12 coulomb
D
Maximum charge on capacitor C 0 is 2.4 x 10 -12 coulomb

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Text Solution

Verified by Experts
The correct answer is:
CHECK THE SOLUTION.

(a, c)

Emf induced across the semi-circular conducting rod.

Since the semi-circular conducting rod is moving with a constant speed v = 3 m/s, then

= constant

Maximum current through the resistor R is

ampere.

Maximum charge on the capacitor C 0 is

coulomb.

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