Question 214: Electromagnetic Induction

Question

The total charge induced in a conducting loop when it is moved in a uniform magnetic field depends on

Accepted Answer

FaradayÃ¢ÂÂs law:
Induced emf $ \mathcal{E} = -\frac{d\Phi}{dt} $, where $ \Phi $ is the magnetic flux through the loop.
The induced current is $ I = \frac{\mathcal{E}}{R} $, where $ R $ is the resistance of the loop.
The total charge that flows through the circuit during the entire process:
$   Q = \int I\, dt = \frac{1}{R} \int \mathcal{E}\, dt.   $
Step 2: Relation to flux.
$ Q = \frac{1}{R} \int -\frac{d\Phi}{dt}\, dt = \frac{1}{R} \big(\Phi_{	ext{initial}} - \Phi_{	ext{final}} \big). $
Thus, the total charge depends on the
net change in magnetic flux
, not on the rate at which it changes.
Answer:
$ \boxed{	ext{Option C: the total change in magnetic flux.}} $

Answer

initial magnetic flux only.

Answer

final magnetic flux only.

Answer

the total change in magnetic flux.

Answer

the rate of change of magnetic flux.

Electromagnetic Induction

The total charge induced in a conducting loop when it is moved in a uniform magnetic field depends on

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