## UY1: Mutual Inductance

Consider two neighboring coils of wire. A current $i_{1}$ flowing in coil 1 produces a magnetic field $\vec{B}$ and hence a magnetic flux $\Phi_{B2}$ is produced through each turn of coil 2. From Faraday’s Law, $$\epsilon_{2} =-N_{2} \frac{d \Phi_{B2}}{dt}$$ Now, we shall introduce a quantity, mutual inductance to relate the magnetic flux through coil 2 with the current in coil …