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Electromagnetic Induction

JEE Main 2024 (Online) 30th January Morning ShiftNumericalMedium📈 Topic in 22% papers+4
Ques. 1JEE 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 .

Answer

32

Solution

Vertical component: BV=B 30 =0.5 10-4 12= 14 10-4 T

=1200 rpm= 2 120060=40 rad/s

= 12BV l2= 12 14 10-4 40 (0.8)2

=32 10-5 V

N=32

Answer: 32

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Ques. 2JEE 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. 3JEE 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. 4JEE 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
Ques. 5JEE Main 2024, 27 January (Morning Shift)

Two coils have mutual inductance 0.002 H. The current changes in the first coil according to the relation i = i0 , where i0 = 5 A and = 50 rad/s. The maximum value of emf in the second coil is V. The value of is .

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