8) A flat circular loop having one turn and radius 5.0 cm is positioned with its plane perpendicular to a uniform 0.60-T magneti

Question

1 month ago

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c field. The area of the loop is suddenly reduced to essentially zero in 0.50 ms. What emf is induced in the loop

1 answer:

Keith_Richards [3.2K] · Answer 1 · 2026-04-08T04:55:02+03:00

Answer:

The induced EMF in the loop is 9.4 V

Clarification:

Given that the initial magnetic flux through the loop is established as

$\phi_1 = B.A$

$\phi_1 = (0.60)(\pi (0.05)^2)$

$\phi_1 = 4.7 \times 10^{-3} Wb$

Once the area of the loop is reduced to zero, the final magnetic flux through the loop becomes ZERO

According to Faraday's law of electromagnetic induction, the EMF results from the rate of change of magnetic flux

thus we then have

$EMF = \frac{\Delta \phi}{\Delta t}$

therefore we have

$EMF = \frac{4.7 \times 10^{-3} - 0}{0.50 \times 10^{-3}}$

$EMF = 9.4 V$