Physics · Electromagnetic Induction

JEE Main 2024 — 27 January, Shift 1 — Question 39

A rectangular loop of length 2.5 m and width 2 m is placed at 60∘60^{\circ} 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. Option A:

    -2 V

  2. Option B:

    +2 V+2 \mathrm{~V}

  3. Option C:

    +1 V

    Correct
  4. Option D:

    -1 V

Answer: C

Step-by-step solution

EMF =-( Change in magnetic flux / Time) Magnetic field (B) = 4 T Length = 2.5 m Width = 2 m Area (A) = length × width = 2.5 × 2 = 5 m² Angle with magnetic field = 60° Time (t) = 10 s Initial flux = B × A × cos(60°) = 4 × 5 × 0.5 = 10 Weber

Final flux = 0 (since loop is removed from the field)

Change in flux = 0-10 = -10 Weber Average EMF = -Change in flux / Time = 10 / 10 = 1 volt

Final Answer: 1 V

Answer key and solution verified before publishing.

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Exam
JEE Main 2024
Subject
Physics
Chapter
Electromagnetic Induction
Topic
Magnetic Flux, Faraday's Law and Lenz's Law
A rectangular loop of length 2.5 m and width 2 m is placed at 60 ° to… | JEE Main 2024 PYQ with Solution · DhiX AI