## What is Mutual Inductance?

Mutual inductance is a phenomenon in which a change in current in one coil induces a voltage in another coil placed close to it. This is the basis for transformers and other electrical devices.

## SI Unit of Mutual Inductance

The SI unit of mutual inductance is the henry (H), named after American scientist Joseph Henry. One henry is equal to one volt-second per ampere.

## Formula for Mutual Inductance

The mutual inductance between two coils can be calculated using the formula: M = k√(L1*L2), where k is the coupling coefficient and L1 and L2 are the inductances of the two coils.

## Applications of Mutual Inductance

- Transformers
- Inductive sensors
- Wireless power transfer

## Example of Mutual Inductance

Consider two coils, A and B, with mutual inductance M. When a current flows through coil A, it generates a magnetic field that induces a voltage in coil B. The amount of induced voltage depends on the mutual inductance between the two coils.

## Case Study: Transformer Efficiency

In a transformer, mutual inductance plays a crucial role in transferring electrical energy from one coil to another. Higher mutual inductance leads to better efficiency and performance of the transformer.

## Statistics on Mutual Inductance

A study found that optimizing the mutual inductance in wireless power transfer systems can increase efficiency by up to 20%, reducing energy losses and improving overall performance.