19.3 – Mutual Induction

A changing current in a coil generates a varying magnetic field which can induce an e.m.f. in another coil nearby. This effect is known as mutual induction.

The diagram below shows two coils of copper wire wound around a soft-iron rod.


Both coils can slide easily on the rod. Coil P is connected in series to a battery, a rheostat and a switch S. Coil Q is connected to a sensitive centre-zero galvanometer.

When the switch S is closed, a momentary deflection is seen on the galvanometer and the coils slide apart a little.

When the switch S is closed, the current flowing in coil P sets up an increasing magnetic flux that links with coil Q, and becomes constant quickly. By Faraday’s law, this rate of increase in magnetic flux linked with coil Q induces an e.m.f in Q. Hence, this drives a momentary current in Q which causes a momentary deflection in the galvanometer. When the current and magnetic flux become constant, there is no induced e.m.f. and the deflection becomes zero.
The current in coil P sets up a magnetic field in P with a South pole on its right end (using right hand grip rule). By Lenz’s law, to oppose this change in magnetic flux in P, the induced current in Q flows in a direction to set up a South pole on its left end. Since both coils have South poles facing each other, they repel and slide apart a little.

 

When the switch S is opened again, a momentary deflection is seen on the galvanometer (this time deflecting to the opposite direction) and the coils slide together a little.

When S is opened, the current decreases to zero and there is a decreasing magnetic flux in P. By Lenz’s law, to oppose this change in magnetic flux in P, the induced current in coil Q flows in the opposite direction to that in (a)(ii) and North pole is induced on the left end of Q. Since both coils now have opposite poles facing each other, they attract and slide towards each other a little. The galvanometer shows a momentary deflection in the opposite direction.

If the iron rod were replaced by wood:

Unlike soft iron, wood is non-magnetic and does not increase the magnetic field through the coils. There is a weaker magnetic flux linkage between the two coils P and Q, the induced e.m.f. and induced current are smaller. Hence, the momentary deflection in the galvanometer and the repulsion between the coils will be smaller.

2025 Physics Lessons