Question

The value of mutual inductance of two coils is 6 mH. The current in one of the coil changes from 6 A to 1 A in 0.2 second so that e.m.f. is induced in the other coil. If the resistance of the coil is 6 Ω, the value of induced charge passing through the coil is ______.

Options

• 3 mC

• 5 mC

• 7 mC

• 9 mC

Answer 1

The value of mutual inductance of two coils is 6 mH. The current in one of the coil changes from 6 A to 1 A in 0.2 second so that e.m.f. is induced in the other coil. If the resistance of the coil is 6 Ω, the value of induced charge passing through the coil is 5 mC.

Explanation:

Given: Mutual inductance (M) = 6 mH = 6 × 10⁻³ H

Initial current (I₁) = 6 A

Final current (I₂) = 1 A

Resistance (R) = 6 Ω

Change in current (ΔI) = |I₂ − I₁|

= |1 − 6|

= 5 A

q = `(M * Delta I)/R`

= `((6 xx 10^-3) xx 5)/6`

= 5 × 10⁻³ C

= 5 mC