A planar loop of wire rotates in a uniform magnetic field. Initially, at t = 0 , the plane of the loop is…

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:
  1. 2.5 s and 7.5 s
  2. 2.5 s and 5.0 s
  3. 5.0 s and 7.5 s
  4. 5.0 s and 10.0 s

Solution

Φ=B·A =BAcosθ =BAcosωt

e=dϕdt =BAωsinωt


When ωt=π2
ϕ will be minimum.
e will be maximum
t=π2π5=2.5 s

When ωt=π
ϕ will be maximum.
e will be minimum
t=ππ/5=5 s

Asked in: JEE Main 2020 (07 Jan Shift 2)

Practice more Electromagnetic Induction questions on Aicharya