Mutual induction between two coils
Put two coils close together. The primary is joined to a cell through a switch (and perhaps a rheostat); the secondary is joined to a zero-centre galvanometer and has no cell. The current in the primary makes a field, and part of its flux passes through the secondary. If the primary current is steady, the flux is steady and the secondary shows nothing. The galvanometer deflects only while the primary current changes: when the switch is closed or opened, when the rheostat slider is moved, or when one coil is moved towards or away from the other. The induced emf is emf = −M ΔI ÷ Δt, where ΔI ÷ Δt tells how fast the primary current changes and M is the mutual inductance in henry (H). M is larger with an iron core, with more turns and bigger coils, and when the coils are close together. Lenz’s rule gives the direction: when the primary current rises, the induced current in the secondary flows against the direction of the primary current; when it falls, it flows in the same direction as the primary current.
| Action on the primary | Primary current | Secondary galvanometer |
|---|---|---|
| switch closed | rises from 0 | deflects; induced current opposes the primary current |
| switch kept closed | steady | zero |
| switch opened | falls to 0 | deflects the other way; induced current has the same direction as the primary current |
Predict and explain, on paper, for a primary and a secondary coil: (1) the switch is closed and left closed for a minute; (2) the switch is opened; (3) the switch is closed and an iron rod is pushed into both coils while the current is steady; (4) the rheostat slider is moved quickly to a higher resistance. Say in each case whether the secondary galvanometer deflects and, if so, whether the induced current has the same direction as the primary current or the opposite.