Question

Two coils have a mutual inductance of 0.01 H. The current in the first coil changes according to equation, I = 5 sin 200 πt. The maximum value of emf induced in the second coil is ________.

विकल्प

• 10 π V

• 0.1 π V

• π V

• 0.01 π V

Answer 1

Two coils have a mutual inductance of 0.01 H. The current in the first coil changes according to equation, I = 5 sin 200 πt. The maximum value of emf induced in the second coil is 10 π V.

Explanation:

Given, mutual inductance in the coil, M = 0.01 H and current in coil, I = 5 sin 200 πt.

Emf induced in secondary coil is given,

e = M`"dl"/"dt"`

putting the value in above relation,

e = 0.01`xx "d"/"dt"`(5 sin 200 πt)

= 0.01 × 5 × 200 π cos 200 πt

= 10π cos 200 πt

Compairing the above equation with the general equation of induced emf, which is represented as,

e = e₀ cos ωt

where, e₀ is the maximum value of the emf.

∴ In the question, the maximum value of emf induced in the coil is; e₀ = 10 π V.