MHT CET202522 Apr 2025Morning ShiftPhysicsElectromagnetic InductionActual
The total charge induced in a conducting loop when it is moved in a uniform magnetic field depends on
Options
- Ainitial magnetic flux only.
- Bfinal magnetic flux only.
- Cthe total change in magnetic flux.
- Dthe rate of change of magnetic flux.
Correct answer
C. the total change in magnetic flux.
Step-by-step solution
The induced charge in a conducting loop is determined by Faraday's law and Ohm's law. The induced electromotive force E = - d dt drives a current I = E R = - 1 R d dt through the loop. Integrating this current over time gives the total charge: q = I dt = - 1 R d = - 1 R ( _f - _i) . Hence |q| = | | R , showing that the total induced charge depends only on the net change in magnetic flux and the loop's resistance. Final answer: C