Question

The mutual inductance of two coils, in a given orientation is 50 mH. If the current in one of the coils changes as `i = 1.0 sin(100pit + pi/3)A,` the peak value of emf (in volt) induced in the other coil will be ______.

पर्याय

• `pi/5`

• 5 π

• 0.5 π

• 0.05 π

Answer 1

The mutual inductance of two coils, in a given orientation is 50 mH. If the current in one of the coils changes as `i = 1.0 sin(100pit + pi/3)A,` the peak value of emf (in volt) induced in the other coil will be 5 π.

Explanation:

M = 50 mH = 50 × 10⁻³ H

`i = 1.0 sin(100pit + pi/3)A`

`e = -M(di)/(dt)`

= `-50 xx 10^-3d/(dt)(1.0sin(100pit + pi/3))`

= `-50 xx 10^-3 xx 1.0 xx 100pi cos(100pit + pi/3)`

Peak emf = |−50 × 10⁻³ × 1 × 100π| = 5π