Q.

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 10s about an axis in its plane then the magnitude of induced emf will be maximum and minimum, respectively at:

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a

2.5 s, 5.0 s

b

5.0 s, 7.5 s

c

2.5 s, 7.5 s

d

5.0 s, 10.0 s

answer is A.

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Detailed Solution

∴ω=2πT=π5When ωt=π2    ∵ϕwill have minimum value and e  will be maximum  ⇒t=π2π5=2.5secWhen ωt=π    ∵ϕ will have maximum value and e  will be minimum  ⇒t=ππ/5=5 sec
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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 10s about an axis in its plane then the magnitude of induced emf will be maximum and minimum, respectively at: