Question

A cycle wheel of radius 0.6 m is rotated with constant angular velocity of 15 rad/s in a region of magnetic field of 0.2 T which is perpendicular to the plane of the wheel. The e.m.f generated between its center and the rim is, ____________.

Options

• Zero

• 0.25 V

• 0.12 V

• 0.54 V

Answer 1

A cycle wheel of radius 0.6 m is rotated with constant angular velocity of 15 rad/s in a region of magnetic field of 0.2 T which is perpendicular to the plane of the wheel. The e.m.f generated between its centre and the rim is, 0.54 V.

Explanation:

When a wheel rotates along an axis that passes through its center and is perpendicular to the wheel's plane,

`"e" = ("B"omega"r"^2)/2 = (0.2 xx 15 xx(0.6)^2)/2`

`= 0.54  "V"`