Electromagnetic induction : 2
Dear Readers,
JEE Advanced Physics Syllabus can be referred by the IIT aspirants to get a detailed list of all topics that are important in cracking the entrance examination. JEE Advanced syllabus for Physics has been designed in such a way that it offers very practical and application-based learning to further make it easier for students to understand every concept or topic by correlating it with day-to-day experiences. In comparison to the other two subjects, the syllabus of JEE Advanced for physics is developed in such a way so as to test the deep understanding and application of concepts..
Q1.
A metal disc of radius a rotates with a constant angular velocity ω about itsaxis. The potential difference between the centre and the rim of the disc is (m=mass of elelctron, e=charge on electron
Solution
b
b
Q2.A 0.1 m long conductor carrying a current of 50 A is perpendicular to a magnetic field of 1.21 mT. The mechanical power to move the conductor with a speed of 1 ms-1 is
Solution
b
b
Q3. A conducting square loop of side L and resistance R moves in its plane with a uniform velocity v perpendicular to one of its sides. A magnetic induction B, constant in time and space, pointing perpendicular to and into the plane of the loop exists everywhere
Solution
d
d
Q4. A flip coil consists of N turns of circular coils which lie in a uniform magnetic field. Plane of the coils is perpendicular to the magnetic filed as shown in figure. The coil is connected to a current integrator which measures the total charge passing through it. The coil is turned 180° about the diameter. The charge passing through the coil is
Solution
d
d
Q5.In figure, a square loop PQRS of side a and resistance r is placed near an infinitely long wire carrying a constant current I. The sides PQ and RS are parallel to the wire. The wire and the loop are in the same plane. The loop is rotated by 180° about an axis parallel to the long wire and passing through the mid-points of the sides QRand PS. The total amount of charge which passes through any point of the loop during rotation is
Solution
b
b
Q6. In Fig (a) and (b), two air-cored solenoids P and Q have been shown. They are placed near each other. In Fig (a) when IP, the current in P, changes at the rate of 5 A s-1, an e.m.f. of 2 mV in induced in Q. The current in P is then switched off, and the current changing at 2 A s-1) is fed through Q as shown in the fig. What e.m.f. will be induced in P?
Solution
a
a
Q7. A square coil ACDE with its plane vertical is released from rest in a horizontal uniform magnetic filed B ⃗ of length 2L figure. The acceleration of the coil is
Solution
d
d
Q8.A square conducting loop of side L is situated in gravity-free space. A small conducting circular loop of radius r(r≪L) is placed at the centre of the square loop, with its plane perpendicular to the plane of the square loop. The mutual inductance of the two coils is
Solution
c
c
Q9.In the gives circuit fig, current through the 5 mH inductor in steady state is
Solution
b
b
Q10. Charge Q is uniformly distributed on a thin insulating ring of mass m which is initially at rest. To what angular velocity will the ring be accelerated when a magnetic fieldB, perpendicular to the plane of the ring, is switched on?
Solution
a
a
