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  4. The average e.m.f. induced in a coil in which current changes from 0.2 ampere to 0.4 ampere in 0.1s is 1 volt, the self inductance of the coil is

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Q. The average e.m.f. induced in a coil in which current changes from 0.2 ampere to 0.4 ampere in 0.1s is 1 volt, the self inductance of the coil is

Electromagnetic Induction

Solution:

E.m.f. induced in a coil is given by, $\varepsilon = L \frac{dI}{dt} \, i.e. \, L = \frac{E}{dl/dt}$
Here $\varepsilon $ = IV , dI = (0.4 - 0.2) = 0.2A and dt = 0.1s $\therefore $ L = l/(0.2/0.1) = 1/2 = 0.5 H