Question

The S.I unit of coefficient of mutual inductance of the coil is
A. Henry
B. Volt
C. Farad
D. Weber

Answer 1

Hint: We know the very fact that if a change within the current of 1 coil affects the present and voltage within the second coil is quantified within the property called the coefficient of mutual induction. The coefficient of mutual induction M is often defined because of the proportionality between the emf generated in coil 2 to the change in current in coil 1 which produced it.

Complete step by step answer:
We know that the coefficient of mutual induction of two coils is adequate to the e.m.f induced in one coil when the rate of change of current through the opposite coil is unity. The SI unit of the coefficient of mutual induction is Henry. It is denoted by the symbol H.

So the correct option or answer is (A). i.e., the S.I unit of coefficient of mutual induction is henry.


Additional Information:
We know that Henry is the unit of inductance. The inductance is 1 Henry when an electrical current, changing at the speed of 1 ampere/second leads to an emf of 1 volt across the inductor.
Farad is that unit of capacitance. The capacitance is 1 Farad when a charge of 1 coulomb creates electric potential of 1 volt across the plates of the capacitor.

Note:
We know that when an emf is produced during a coil due to the change in current during a coupled coil, the effect is named coefficient of mutual induction. The emf is described by Faraday's law and it's direction is usually opposed to the change within the magnetic flux produced in it by the coupled coil (Lenz's law ). The induced emf in coil 1 is thanks to self inductance L.
The induced emf in coil 2 caused by the change in current ${{I}_{1}}$ (current in coil 1) can be expressed as:
$Em{{f}_{2}}=-{{N}_{2}}A\dfrac{\Delta B}{\Delta t}=-M\dfrac{\Delta {{I}_{1}}}{\Delta t}$