Download the app


A plane loop is shaped as two squares (figure) and placed in a uniform magnetic field at right angle to the loop's plane. The magnetic induction varies with time as B=B0 sin ωt, where B0=10 mT and ω = 100 rads-1. The wires do not touch at point A. If resistance per unit length of the loop is 50mΩ/m, then amplitude of current induced in the loop is

Remember concepts with our Masterclasses.

80k Users
60 mins Expert Faculty Ask Questions
1.5 A
1.0 A
0.5 A
2.0 A

Ready to Test Your Skills?

Check Your Performance Today with our Free Mock Tests used by Toppers!

detailed solution

Correct option is C

Induced emf's in the two loops will oppose each other. So net induced emf:e=ddtb2-a2B=b2-a2dBdt=0.202-0.102ωB0 cos ωt=0.04-0.01×100×10×10-3 cos ωt=30×10-3 cos ωtResistance: R=50×10-34×0.20+4×0.10=60×10-3ΩI=eR=0.5 cos ωtSo amplitude of current = 0.5 A

Talk to our academic expert!


Are you a Sri Chaitanya student?


Create Your Own Test
Your Topic, Your Difficulty, Your Pace

Similar Questions

An elasticized conducting band r is around a spherical balloon T (figure). Its plane passes through the center of the balloon. A uniform magnetic field of magnitude 0.04 T  is directed perpendicular to the plane of the band. Air is let out of the balloon at 100 cm3s-1 at an instant when the radius of the balloon is 10 cm. The induced emf in the band is

phone icon
whats app icon