electric field due to changing magnetic field questions with solutions

Showing 1–10 of 22 questions

• MCQmediumElectromagnetic Inductionelectric field due to changing magnetic field

  A coil placed in a time-varying magnetic field dissipates power P. Its number of turns, area enclosed by each turn and wire radius are N, A and r, respectively. A second geometrically similar coil has 2N turns, turn area 2A and wire radius 3r, and is placed in the same time-varying magnetic field. If the power dissipated in the second coil is α√2 P, find α.

  Options

  • Option A

    36

  • Option B

    128√2

  • Option C

    16

  • Option D

    64

  Check answerShow answer

  JEE Mains 2026 2 April Morning Shift

  Open question & full solution →
• MCQmediumElectromagnetic Inductionelectric field due to changing magnetic field

  A circular conducting ring of radius a and resistance R lies in a perpendicular field B(r, t)=βtr² over its entire area. Determine the instantaneous Joule-heating rate in the ring.

  Options

  • Option A

    π²β²a⁸/(4R)

  • Option B

    π²β²a⁸/R

  • Option C

    π²β²a⁶/R

  • Option D

    4π²β²a⁸/R

  Check answerShow answer

  JEE MainsNEET

  Open question & full solution →
• Multi-correctmediumElectromagnetic Inductionelectric field due to changing magnetic field

  A uniform time-varying magnetic field exists only inside radius R with |dB/dt|=k. Let E₁ be the induced field at r=R/2 and E₂ at r=2R. Which statements are correct?

  Select all that apply

  • Option A

    E₁=kR/4.

  • Option B

    E₂=kR/4.

  • Option C

    E₁=E₂.

  • Option D

    The EMFs around the two circular paths are equal.

  Check answerShow answer

  JEE MainsNEET

  Open question & full solution →
• NumericmediumElectromagnetic Inductionelectric field due to changing magnetic field

  A uniform magnetic field exists only inside a circular region of radius 0.20 m and changes at 5 T/s. Determine the induced electric-field magnitude, in V/m, at radius 0.50 m.

  Your answer

  Check answerShow answer

  JEE MainsNEET

  Open question & full solution →
• MCQmediumElectromagnetic Inductionelectric field due to changing magnetic field

  Inside a long cylindrical region of radius R, the axial magnetic field is B(r, t)=B₀t(1-r²/R²), and it is zero outside. Determine the induced electric-field magnitude at radius 2R.

  Options

  • Option A

    B₀R/4

  • Option B

    B₀R/8

  • Option C

    B₀R/2

  • Option D

    3B₀R/8

  Check answerShow answer

  JEE MainsNEET

  Open question & full solution →
• MCQmediumElectromagnetic Inductionelectric field due to changing magnetic field

  A uniform axial magnetic field exists only within a circular region of radius R and changes at a constant rate k. At a point at radius r<R, determine the induced electric-field magnitude.

  Options

  • Option A

    kr

  • Option B

    kr/2

  • Option C

    kR²/(2r)

  • Option D

    kR/2

  Check answerShow answer

  JEE MainsNEET

  Open question & full solution →
• Multi-correctmediumElectromagnetic Inductionelectric field due to changing magnetic field

  A positive charge q is initially at rest at radius r<R inside a region where a uniform +z magnetic field increases as B=kt. Neglect the magnetic force during the infinitesimal initial interval. Which statements are correct?

  Select all that apply

  • Option A

    The initial electric force is tangential.

  • Option B

    Its magnitude is qkr/2.

  • Option C

    The initial acceleration is radial.

  • Option D

    The circulation direction follows Lenz's law.

  Check answerShow answer

  JEE MainsNEET

  Open question & full solution →
• MCQmediumElectromagnetic Inductionelectric field due to changing magnetic field

  A magnetic field exists only in the annulus a<r<2a and is B(r, t)=kt/r. Determine the induced electric-field magnitude at radius 3a.

  Options

  • Option A

    k/6

  • Option B

    k/3

  • Option C

    ka/6

  • Option D

    ka/3

  Check answerShow answer

  JEE MainsNEET

  Open question & full solution →
• MCQmediumElectromagnetic Inductionelectric field due to changing magnetic field

  A magnetic field exists only in the annulus a<r<2a and is B(r, t)=kt/r in the axial direction. Determine the induced electric-field magnitude at r=3a.

  Options

  • Option A

    k/6

  • Option B

    k/3

  • Option C

    ka/6

  • Option D

    ka/3

  Check answerShow answer

  JEE MainsNEET

  Open question & full solution →
• Multi-correctmediumElectromagnetic Inductionelectric field due to changing magnetic field

  A uniform axial field confined to radius R varies as B=B₀+αt². At a fixed t>0, which statements are correct?

  Select all that apply

  • Option A

    For r<R, E∝r.

  • Option B

    For r>R, E∝1/r.

  • Option C

    |E| is maximum at r=R.

  • Option D

    E is discontinuous at r=R.

  Check answerShow answer

  JEE MainsNEET

  Open question & full solution →