Question: Q. 5. (i) Define mutual inductance and write its S.I. unit.
(ii) Derive an expression for the mutual inductance of two long co-axial solenoids of same length wound one over the other.
(iii) In an experiment, two coils $C_{1}$ and $C_{2}$ are placed close to each other. Find out the expression for the emf induced the coil $C_{1}$ due to a change in the current through the coil $C_{2}$.
R U A [Delhi I, II, III 2015]
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Solution:
Ans.(i) (ii) Try yourself, Similar to Q. 2, Short Answer Type Questions-II
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(iii) Let a magnetic flux be $\left(\phi_{1}\right)$ linked with coil $\mathrm{C}{1}$ due to current $\left(I{2}\right)$ in coil $C_{2}$.
We have :
