Rankers Physics

Electromagnetic Induction: Practice Problem & Solution

15. The total charge, induced in a conducting loop when it is moved in magnetic field depend on (1992)
The rate of change of magnetic flux
Initial magnetic flux only
The total change in magnetic flux
Final magnetic flux only

Solution Explained:

To solve this problem, we apply the core principles of Electromagnetic Induction. Understanding the underlying formula is key to arriving at the correct answer below:

Induced charge $Q = \int I dt = \int \frac{e}{R} dt = \int \frac{1}{R} \frac{d\Phi}{dt} dt = \frac{\Delta \Phi}{R}$.
Thus, the total induced charge depends directly on the total change in magnetic flux, $\Delta \Phi$.
It is independent of the rate of change of flux or time.

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