A wire loop of radius 0.37 m lies so that an external magnetic field of magnitude 0.35 T is perpendicular to the loop. The field reverses its direction, and its magnitude changes to 0.19 T in 1.3 s. Find the magnitude of the average induced emf in the loop during this time.

Question

Shania Acosta

Physics

19 March, 22:27

A wire loop of radius 0.37 m lies so that an external magnetic field of magnitude 0.35 T is perpendicular to the loop. The field reverses its direction, and its magnitude changes to 0.19 T in 1.3 s. Find the magnitude of the average induced emf in the loop during this time.

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Answers (1)

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Joslyn Nguyen · Answer 1

0.053V

Explanation:

Average induced emf is given as:

EMF (avg) = (ΔB * A) / t

Change in magnetic field strength, ΔB = 0.35 - 0.19 = 0.16T

Area, A = 3.142*r² = 3.142 * 0.37²

A = 0.43 m²

EMF (avg) = (0.16 * 0.43) / 1.3

EMF (avg) = 0.053 V