A magnetic field of 0 5 T is directed perpendic... - SS2 Physics Electromagnetism Question
A magnetic field of 0.5 T is directed perpendicular to a circular loop with a radius of 0.1 m. If the magnetic field decreases to zero in 0.2 seconds, what is the magnitude of the induced emf in the loop?
The magnitude of the induced emf can be calculated using Faraday's Law:
emf = -N x d(BA)/dt,
where N is the number of turns in the loop, B is the magnetic field, A is the area of the loop, and dt is the change in time.
Given:
N = 1 (single loop)
B = 0.5 T
A = π x (0.1 m)2 = 0.0314 m2
dt = 0.2 s
Plugging these values into the formula:
emf = -1 x (0.5 T) x (0.0314 m2) / (0.2 s)
emf = -0.025 V
The magnitude of the induced emf is 0.025 V (rounded to two decimal places).
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