Join the Most Relevant JEE Main 2025 Test Series & get 99+ percentile! Join Now
Search any question & find its solution
Question: Answered & Verified by Expert
A square loop of area 25 cm2 has a resistance of 10 Ω. The loop is placed in uniform magnetic field of magnitude 40.0 T. The plane of loop is perpendicular to the magnetic field. The work done in pulling the loop out of the magnetic field slowly and uniformly in 1.0 sec, will be
PhysicsMagnetic Effects of CurrentJEE MainJEE Main 2023 (29 Jan Shift 2)
Options:
  • A 2.5×10-3 J
  • B 1.0×10-3 J
  • C 1.0×10-4 J
  • D 5×10-3 J
Solution:
2515 Upvotes Verified Answer
The correct answer is: 1.0×10-3 J

As l2=25 cm2, then l=5 cm=0.05 m.

Given: t=1 s

Velocity of the square loop, v=0.051=0.05 m s-1.

Induced current,

i=VR=BlvR=40×0.05×0.0510=0.01 A

Now force acting on the side of the square loop, F=Bil=40×0.01×0.05

F=0.02 N

Therefore, work done

W=Fl=0.02×l=0.02×0.05

W=1×10-3 J

Looking for more such questions to practice?

Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.