Question

A 600 turn coil of effective area 0.05 m² is kept perpendicular to a magnetic field 4 x 10^-5 T. When the plane of the coil is rotated by 90° around any of its coplanar axis in 0.1 s, the e.m.f. induced in the coil will be: ____________.

Options

• 12 x 10^-3 V

• 12 x 10^-4 V

• 12 x 10^-2 V

• 12 x 10^-5 V

Answer 1

A 600 turn coil of effective area 0.05 m² is kept perpendicular to a magnetic field 4 x 10^-5 T. When the plane of the coil is rotated by 90° around any of its coplanar axis in 0.1 s, the e.m.f. induced in the coil will be: 12 x 10^-3 V.

Explanation:

`"Given that, coil is kept perpendicular to magnetic field"  "B" = 5 xx 10^-5  "T."`

`"Thus, angle between area vector A and magnetic field B is,"  theta = 0°`

∴ e.m.f. induced,

`therefore "e" = "N"  ("d"phi)/"dt"`

`= "N"  ("BA cos"  theta)/"dt"`

`= (600 xx 4 xx 10^-5 xx 0.05)/0.1`

`= 12 xx 10^-3  "V"`