How is the mutual inductance of a pair of coil affected when (a) Separ...
Explain your answer in each case. (i) When separation between the coils is increased, magnetic flux linked with secondary coil decreases. Therefore, mutual inductance (M) of pair of coils decreases. The total number of magnetic lines of force crossing any surface in the magnetic field is termed as magnetic flux.
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How is the mutual inductance of a pair of coil affected when (a) Separ...
Effect of different factors on mutual inductance:
1. Separation between the coils:
When the separation between the coils is increased, the mutual inductance decreases. This is because the magnetic field produced by one coil has less influence on the other coil when they are farther apart. The flux linkage between the coils is reduced, leading to a decrease in mutual inductance.
2. Number of turns in each coil:
Increasing the number of turns in each coil increases the mutual inductance. This is because more turns in a coil result in a stronger magnetic field and hence a higher mutual inductance. The flux linkage between the coils increases with the number of turns, leading to a higher mutual inductance.
3. Introduction of a thin iron sheet:
When a thin iron sheet is placed between the coils, the mutual inductance increases significantly. This is because iron is a ferromagnetic material that enhances the magnetic field produced by the coils. The iron sheet acts as a magnetic conductor, concentrating the magnetic field lines and increasing the flux linkage between the coils. As a result, the mutual inductance is greatly enhanced.
In conclusion, the mutual inductance of a pair of coils is affected by factors such as the separation between the coils, the number of turns in each coil, and the introduction of a magnetic material like an iron sheet. Adjusting these factors can help in controlling and optimizing the mutual inductance between coils.