Question

A wire loop with an area of 2.2×10−2 m2 is in a magnetic field of 0.37 T directed at a angle 30∘ to the plane of the loop. If the field drops to zero in 50 ms , what is the average induced emf in the loop?

Answer #1

Given:

area of loop: A = 0.022 m ^{2}

magnitude of magnetic field: B = 0.37 T

angle between direction of magnetic field and plane of the loop
θ = 30^{o}

change in time: Δt = 50 ms = 0.05 sec

So, magnetic flux through the loop : = B A cosθ = (0.37)(0.022) cos (90-30) = 0.00407 Wb

Since: average induced emf in the loop: Here, _{final} =
Zero.

Therefore: = -
d_{} / dt = B A
cosθ / dt = 0.00407 / 0.05 = **0.0814 V**

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