Physics - EMI/AC Question with Solution | TestHub

Magnetic field produced by a current i in a large square loop at its centre,

B ∝$\genfrac{}{}{0.1ex}{}{i}{L}$

Say  B = K$\genfrac{}{}{0.1ex}{}{i}{L}$

Therefore, Magnetic flux linked with smaller loop,
ϕ=B. S                                               '
ϕ = k$\genfrac{}{}{0.1ex}{}{i}{L}$(/²)
Therefore, the mutual inductance

M =$\genfrac{}{}{0.1ex}{}{\mathrm{\ϕ}}{i}$= K$\genfrac{}{}{0.1ex}{}{l^2}{L}$

or         M ∝$\genfrac{}{}{0.1ex}{}{l^2}{L}$