A planar loop of wire rotates in a uniform magnetic field. Initially, at t = 0 , the plane of the loop is perpendicular to the magnetic field. If it rotates with a period of 10 s about an axis in its

Question

A planar loop of wire rotates in a uniform magnetic field. Initially, at t = 0 , the plane of the loop is perpendicular to the magnetic field. If it rotates with a period of 10 s about an axis in its plane then the magnitude of induced emf will be maximum and minimum, respectively at:

TestHub · Accepted Answer

Φ = B → · A → = B A cos θ = B A cos ω t e = d ϕ d t = B A ω sin ω t When ω t = π 2 ∵ ϕ will be minimum. ∴ e will be maximum t = π 2 π 5 = 2 . 5 s When ω t = π ∵ ϕ will be maximum. ∴ e will be minimum t = π π / 5 = 5 s

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