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Electromagnetic Induction

JEE Main 2024 (Online) 5th April Evening ShiftNumericalEasy📈 Topic in 7% papers+4
Ques. 1JEE Main 2024, 5 April (Evening Shift)

The current in an inductor is given by I = (3t + 8) where t is in second. The magnitude of induced emf produced in the inductor is 12 mV. The self-inductance of the inductor mH.

Answer

4

Solution

| | = L dIdt, with dIdt = 3 A/s

L = 12 10-33 = 4 10-3 H

= 4 mH

Answer: 4

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Ques. 2JEE Main 2024, 4 April (Evening Shift)

A rod of length 60 cm rotates with a uniform angular velocity 20 rad s-1 about its perpendicular bisector, in a uniform magnetic field 0.5 T. The direction of magnetic field is parallel to the axis of rotation. The potential difference between the two ends of the rod is V.

Ques. 3JEE Main 2024, 1 February (Morning Shift)

A rectangular loop of sides 12 cm and 5 cm, with its sides parallel to the x-axis and y-axis respectively, moves with a velocity of 5 cm/s in the positive x axis direction, in a space containing a variable magnetic field in the positive z direction. The field has a gradient of 10-3 T/cm along the negative x direction and it is decreasing with time at the rate of 10-3 T/s. If the resistance of the loop is 6 m , the power dissipated by the loop as heat is 10-9 W.

Ques. 4JEE Main 2024, 1 February (Evening Shift)

A coil of 200 turns and area 0.20 m2 is rotated at half a revolution per second and is placed in uniform magnetic field of 0.01 T perpendicular to axis of rotation of the coil. The maximum voltage generated in the coil is 2 volt. The value of is .

Ques. 5JEE Main 2024, 31 January (Morning Shift)

A coil is placed perpendicular to a magnetic field of 5000 T. When the field is changed to 3000 T in 2 s, an induced emf of 22 V is produced in the coil. If the diameter of the coil is 0.02 m, then the number of turns in the coil is:

  1. 35
  2. 70
  3. 7
  4. 140
Ques. 6JEE Main 2024, 31 January (Morning Shift)

A small square loop of wire of side l is placed inside a large square loop of wire of side L (L=l2 ). The loops are coplanar and their centers coincide. The value of the mutual inductance of the system is x 10-7 H, where x= .

Ques. 7JEE Main 2024, 31 January (Evening Shift)

The magnetic flux (in weber) linked with a closed circuit of resistance 8 varies with time (in seconds) as =5t2-36t+1. The induced current in the circuit at t=2 s is A.

Ques. 8JEE Main 2024, 30 January (Morning Shift)

A ceiling fan having 3 blades of length 80 cm each is rotating with an angular velocity of 1200 rpm. The magnetic field of earth in that region is 0.5 G and angle of dip is 30 . The emf induced across the blades is N 10-5 V. The value of N is .

Ques. 9JEE Main 2024, 29 January (Morning Shift)

A square loop of side 10 cm and resistance 0.7 is placed vertically in east-west plane. A uniform magnetic field of 0.20 T is set up across the plane in north east direction. The magnetic field is decreased to zero in 1 s at a steady rate. Then, magnitude of induced emf is x 10-3 V. The value of x is .

Ques. 10JEE Main 2024, 29 January (Evening Shift)

A horizontal straight wire 5 m long extending from east to west is falling freely at right angle to horizontal component of earth's magnetic field 0.60 10-4 Wbm-2. The instantaneous value of emf induced in the wire when its velocity is 10 ms-1 is 10-3 V.

Ques. 11JEE Main 2024, 27 January (Morning Shift)

A rectangular loop of length 2.5 m and width 2 m is placed at 60 to a magnetic field of 4 T. The loop is removed from the field in 10 sec. The average emf induced in the loop during this time is

  1. -2 V
  2. +2 V
  3. +1 V
  4. -1 V

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