Question

A square-shaped coil of side 10 cm, having 100 turns is placed perpendicular to a magnetic field which is increasing at 1 T/s. The induced emf in the coil is ______.

Options

• 0.1 V

• 0.5 V

• 0.75 V

• 1.0 V

Answer 1

A square-shaped coil of side 10 cm, having 100 turns is placed perpendicular to a magnetic field which is increasing at 1 T/s. The induced emf in the coil is 1.0 V.

Explanation:

Given, no. of turns (N) = 100, side of square = 10 cm

Rate of change of magnetic field `(dB)/(dt) = 1 T/S`

∴ Emf of coil = `NA (dphi)/(dt)`

= `100 xx (0.1 xx 0.1) xx 1`

ε = 1 V