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Electromagnetic Induction

JEE Mains Physics. Try each one first, then open its answer.

Top 10 JEE Mains PYQs to practise first

The questions and kinds of question asked most often come first. Each one says how often and in which papers.

  1. Question 1

    This type asked 7 times: 2021 Paper 22, 25 Jul 2022, 29 Jan 2023, 6 Apr 2023, 31 Jan 2024, 5 Apr 2024, 2 Apr 2026 S2. This one: 2 Apr 2026 S2 See all 7 of this type

    18
    A circular current loop of radius RR is placed inside square loop of side length L (L≫R)L\ (L \gg R) such that they are co-planar, and their centers coincide. The permeability of free space is μ0\mu_{0}. The mutual inductance between circular loop and square loop is ____\_\_\_\_ .

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  2. Question 2

    This type asked 7 times: 2021 Paper 19, 14 Jun 2022, 30 Jan 2023, 1 Feb 2023, 1 Feb 2024, 29 Jan 2025, 22 Jan 2026 S2. This one: 22 Jan 2026 S2 See all 7 of this type

    21
    A conducting circular loop is rotated about its diameter at a constant angular speed of 100rad/s100rad/s in a magnetic field of 0.5 T perpendicular to the axis of rotation. When the loop is rotated by 30∘30^{\circ} from the horizontal position, the induced EMF is 15.4 mV . The radius of the loop is ____\_\_\_\_ mm .  (Take π=227)\left. \ (Take\ \pi = \frac{22}{7} \right)

  3. Question 3

    This type asked 6 times: 26 Jun 2022, 24 Jan 2023, 15 Apr 2023, 30 Jan 2024, 4 Apr 2024, 28 Jan 2025. This one: 28 Jan 2025 See all 6 of this type

    76
    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 10πrads−110\pi rads^{- 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 ? (π=3.14)(\pi= 3.14)

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  4. Question 4

    This type asked 5 times: 2021 Paper 17, 26 Jun 2022, 25 Jul 2022, 31 Jan 2024, 5 Apr 2026 S2. This one: 5 Apr 2026 S2 See all 5 of this type

    25
    A circular loop of radius 20 cm and resistance 2Ω2\Omega is placed in a time varying magnetic field B→=(2t2+2t+3)T\overrightarrow{B} = \left( 2t^{2} + 2t + 3 \right)T. The plane of the loop is perpendicular to the magnetic field. The induced current in the loop at t=3 st = 3\text{ }s is α50 A\frac{\alpha}{50}\text{ }A. The value of α\alpha is ____\_\_\_\_ (Take π=22/7\pi = 22/7 )

  5. Question 5

    This type asked 4 times: 26 Jun 2022, 15 Apr 2023, 5 Apr 2024, 6 Apr 2024. This one: 6 Apr 2024 See all 4 of this type

    99
    In a coil, the current changes from −2 A- 2\text{ }A to +2 A+ 2\text{ }A in 0.2 s0.2\text{ }s and induces an emf of 0.1 V0.1\text{ }V. The self-inductance of the coil is:

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  6. Question 6

    This type asked 4 times: 24 Jan 2023, 11 Apr 2023, 27 Jan 2024, 29 Jan 2024. This one: 29 Jan 2024 See all 4 of this type

    23
    A square loop of side 10 cm10\text{ }cm and resistance 0.7Ω0.7\Omega is placed vertically in east-west plane. A uniform magnetic field of 0.20 T0.20\text{ }T is set up across the plane in north east direction. The magnetic field is decreased to zero in 1 s1\text{ }s at a steady rate. Then, magnitude of induced emf is x×10−3 V\sqrt{x}\times10^{- 3}\text{ }V. The value of xx is _____ .

  7. Question 7

    Asked 3 times: 2021 Paper 22*, 25 Jul 2022*, 31 Jan 2024 (* = numbers or wording changed that year) See all 3 times it was asked

    27
    A small square loop of wire of side ll is placed inside a large square loop of wire of side LL (L=l2)\left( L = l^{2} \right). The loops are coplanar and their centers coincide. The value of the mutual inductance of the system is x×10−7H\sqrt{x}\times10^{- 7}H, where x=x = _____ .

  8. Question 8

    This type asked 3 times: 10 Apr 2023, 23 Jan 2026 S2, 6 Apr 2026 S2. This one: 6 Apr 2026 S2 See all 3 of this type

    14
    A square loop of side 2 cm is placed in a time varying magnetic field with magnitude as B=0.4sin⁡(300t)B = 0.4\sin(300t) Tesla. The normal to the plane of loop makes an angle of 60∘60^{\circ} with the field. The maximum induced emf produced in the loop is ____\_\_\_\_ mV .

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  9. Question 9

    This type asked 3 times: 2021 Paper 5, 2021 Paper 23, 22 Jan 2026 S1. This one: 22 Jan 2026 S1 See all 3 of this type

    20
    Three identical coils C1,C2C_{1},C_{2} and C3C_{3} are closely placed such that they share a common axis. C2C_{2} is exactly midway. C1C_{1} carries current II in anti-clockwise direction while C3C_{3} carries current II in clockwise direction. An induced current flows through C2C_{2} will be in clockwise direction when

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  10. Question 10

    This type asked 3 times: 2021 Paper 10, 13 Apr 2023, 22 Jan 2026 S1. This one: 22 Jan 2026 S1 See all 3 of this type

    25
    Inductance of a coil with 10410^{4} turns is 10 mH and it is connected to a dc source of 10 V with internal resistance of 10Ω10\Omega. The energy density in the inductor when the current reaches (1e)\left( \frac{1}{e} \right) of its maximum value is απ×1e2 J/m3\alpha\pi \times \frac{1}{e^{2}}\text{ }J/m^{3}. The value of α\alpha is ____\_\_\_\_ . (μ0=4π×10−7Tm/A)\left( \mu_{0} = 4\pi \times 10^{- 7}Tm/A \right).