Question

What is the dimensional formula of mutual inductance?

Answer 1

1. When two coils are placed close together and the current in one coil changes, an induced current is produced in the other coil. This is known as mutual induction.
2. Mutual inductance works as a main operating principle for generators, motors, etc.
3. It is represented by $M$.
4. The unit of $M$ is $Wb/A$.
5. Thus, the dimensional formula for mutual inductance = $\frac{\mathrm{Dimension}\mathrm{of}\mathrm{magnetic}\mathrm{flux}}{\mathrm{Dimension}\mathrm{of}\mathrm{current}}$
6. The dimensional formula $=\frac{{\mathrm{ML}}^2{\mathrm{T}}^{-2}{\mathrm{A}}^{-1}}{\mathrm{A}}$

$={\mathrm{ML}}^2{\mathrm{T}}^{-2}{\mathrm{A}}^{-2}$.