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What is the S.I unit of mutual Inductance?

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Hint:In order to answer this question, to know the S.I unit of mutual inductance, we will first discuss mutual inductance and then we will discuss the factors that influence the value of mutual inductance.

Complete answer:
The SI unit of mutual inductance is henry and its symbol is $H$.The mutual inductance of a coil for creating one volt by varying inducing current of one ampere is one henry. Mutual inductance between the two coils is described as the property of a coil that opposes current change in the other coil, also known as the neighbouring coil.

When the current in a neighbouring coil varies, the flux in the coil changes, causing a fluctuating flux emf in the coil known as Mutually Induced emf, and the phenomena is known as Mutual Inductance. Two coils, coil A and coil B, are positioned closer together.

When the switch S is closed and current flows in the coil, the flux in the coil A is set up, and emf is induced in the coil; if the current is altered by adjusting the resistance (R), the flux linking with the coil B changes as well. Thus this phenomenon of the linking flux of the coil A with the other coil, B is called Mutual Inductance.

The following factors influence the value of Mutual Inductance:
(i) Number of turns in the secondary or neighbouring coil
(ii) Cross-sectional area
(iii) Closeness of two coils.

Note: Mutual inductance is the interaction of one coil's magnetic field with the magnetic field of another coil, causing a voltage to be induced in the adjacent coil. An inductor generates an induced emf within itself as a result of the changing magnetic field around its own turns, as we observed in the previous tutorial.