InterviewSolution
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InterviewSolution
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Define the term .mutual inductance. between the two coils. Obtain the expression for mutual inductance ofa pair of long coaxial solenoids each of length l and radii r_(1) and r_(2) (r_(2) gt gt r_(1)). Total number of turns in the two solenoids are N_(1) and N_(2) respectively. |
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Answer» Solution :Mutual inductance, between a PAIR of coils, equals the magnetic flux, linked with ONE of them DUE to a change of unit current flowing in the other. Alternatively: The mutual inductance, for a pair of coils, equals the emf induced, in one of them, when the current in the other coil is changing at a unit rate.  Let a current `I_(2)` flow through the outer coil. The magnetic field due to thiscurrent ` = mu_(0) (mu_(2))/(l) xx I_(2)` The resulting magnetic flux linked with the INNER coil`= phi_(12) = N_(1).(mu_(0) (mu_(2))/(l) xx l_(2)) xx pi r_(1)^(2)` ` = ( mu_(0) (N_(1) N_(2))/(l), pi r_(1)^(2))l_(2)` `M_(12)I_(2)` `:.M_(12) = mu_(0)(N_(1)N_(2))/(l) . pi r_(1)^(2)` |
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