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(a) Define mutual inductance and write its SI units. (b) Derive an expression for the mutual inductance of two long co-axial solenoids of same length wound one over the other. (c) In an experiment, two coils C_(1) and C_(2) are placed close to each other. Find out the expression for the emf induced in the coil C_(1) due to a change in the current through the coil C_(2). |
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Answer» Solution :For part (a) and part (b), see Short Answer Question Number 50. (c) Let CURRENT in coil `C_(2)` be changing at a rate `(dI_(2))/dt`. As a result of it magnetic flux linked with coil `C_(2)` and CONSEQUENTLY the coil `C_(1)` CHANGES. If the coils are placed close to each other then magnetic flux PER turn of both coils will be same and hence INDUCED emf `varepsilon_(1)` in coil `C_(1)` will be given as: `varepsilon_(1) = -M (dI_(2))/dt`, where M = Mutual inductance of the given pair of coils. The -ve sign indicates the direction of induced emf. |
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