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Question: What happens to the current in a magnetic coil while accelerating it's magnetic field...

What happens to the current in a magnetic coil while accelerating it's magnetic field

A

Zero

B

Decreases

C

Constant

D

Increases

Answer

Increases

Explanation

Solution

Faraday's Law states induced EMF is proportional to the rate of change of magnetic flux (EdΦBdt\mathcal{E} \propto \frac{d\Phi_B}{dt}). Current I=E/RI = \mathcal{E}/R. "Accelerating its magnetic field" implies the rate of change of magnetic field (dBdt\frac{dB}{dt}) is increasing. Since ΦBB\Phi_B \propto B, this means dΦBdt\frac{d\Phi_B}{dt} is increasing. Consequently, the induced EMF and thus the induced current will increase.