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Electromagnetic Induction

JEE Main 2025 (Online) 29th January Morning ShiftMCQEasy📈 Topic in 5% papers+4−1
Ques. 1JEE Main 2025, 29 January (Morning Shift)

Consider I1 and I2 are the currents flowing simultaneously in two nearby coils 1 & 2, respectively. If L1 = self inductance of coil 1, M12 = mutual inductance of coil 1 with respect to coil 2, then the value of induced emf in coil 1 will be :

  1. e1 = -L1 dI2dt - M12 dI1dt
  2. e1 = -L1 dI1dt + M12 dI2dt
  3. e1 = -L1 dI1dt - M12 dI1dt
  4. e1 = -L1 dI1dt - M12 dI2dt

Answer

(4) e1 = -L1 dI1dt - M12 dI2dt

Solution

Flux linked with coil 1 (own current + current of coil 2):

1 = L1 I1 + M12 I2

By Faraday's law, e1 = - d 1dt

e1 = -L1 dI1dt - M12 dI2dt

Answer: (4)

Keep practising — Electromagnetic Induction

Ques. 2JEE Main 2025, 28 January (Evening Shift)

A uniform magnetic field of 0.4 T acts perpendicular to a circular copper disc 20 cm in radius. The disc is having a uniform angular velocity of 10 rad s-1 about an axis through its centre and perpendicular to the disc. What is the potential difference developed between the axis of the disc and the rim? ( = 3.14)

  1. 0.5024 V
  2. 0.0628 V
  3. 0.2512 V
  4. 0.1256 V
Ques. 3JEE Main 2025, 28 January (Evening Shift)

[figure] A conducting bar moves on two conducting rails as shown in the figure. A constant magnetic field B exists into the page. The bar starts to move from the vertex at time t = 0 with a constant velocity. If the induced EMF is E tn, then value of n is .

Ques. 4JEE Main 2025, 23 January (Morning Shift)

Regarding self-inductance: Choose the correct answer from the options given below:

  1. A, B, C, E only
  2. A, B, C, D only
  3. A, C, D, E only
  4. B, C, D, E only
Ques. 5JEE Main 2025, 23 January (Morning Shift)

[figure] In the given circuit the sliding contact is pulled outwards such that electric current in the circuit changes at the rate of 8 A/s. At an instant when R is 12 , the value of the current in the circuit will be A.

Ques. 6JEE Main 2025, 22 January (Evening Shift)

A rectangular metallic loop is moving out of a uniform magnetic field region to a field free region with a constant speed. When the loop is partially inside the magnetic field, the plot of magnitude of induced emf ( ) with time (t) is given by

  1. [figure]
  2. [figure]
  3. [figure]
  4. [figure]

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