Question

Ram pedals a stationary bicycle whose pedals are attached to a 1000 turn coil of area 0.10 m2. The coil rotates at half a revolution per second and it is placed in a uniform magnetic field of 0.01 T perpendicular to the axis of rotation of the coil. What is the maximum voltage generated in the coil?

Answer 1

Given am pedals a stationary bicycle whose pedals are attached to a 1000 turn coil of area 0.10 m2. The coil rotates at half a revolution per second and it is placed in a uniform magnetic field of 0.01 T perpendicular to the axis of rotation of the coil. What is the maximum voltage generated in the coil

The coil is placed in a uniform magnetic field.

We know that ω = π rad/sec

  Induced emf E = dω/dt

The maximum induced electromotive force is given by

e = eosinωt

E = E₀ sinωt E₀ is maximum induced emf.

 E₀ = NBA w

N = 1000, A = 0.1 m^2, B = 0.01 Tesla

  = 1000 x 0,01 x 0.1 x π

 = π x 1

 = π v

So maximum voltage generated in the coil will be π volts.