What do you understand by mutual induction and mutual inductance? Derive an expression for the mutual inductance of two long coaxial solenoids having different radii and different number of turns.
Answers
Answer:
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Explanation:
Mutual Inductance is the basic operating principal of the transformer, motors, generators and any other electrical component that interacts with another magnetic field. Then we can define mutual induction as the current flowing in one coil that induces a voltage in an adjacent coil.
If n1 is number of turns per unit length of outer solenoid and r2 is radius of inner solenoid, then M = N2μπr22. But flux due to current I1 in first solenoid (using Ampere's circuital law) will be = (μ0N1I1)/l. which is same as expression of mutual inductance derived in part (a) above.
Explanation:
Mutual inductance between two coils depends on permeability of core, the number of their turns and cross sectional area of the common core. Mutual inductance of the coils also depends on their separation as well as their relative orientation.