Define coefficient of mutual induction i.e. mutual inductance. Wh… - Vidyadip

Question

Define coefficient of mutual induction i.e. mutual inductance.
When the current in a primary coil is changed from zero to 2.0 A within 300 ms, then an induced emf of a 0.80 volt is produced in secondary coil. Calculate coefficient of mutual inductance between the two coils.

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Answer

Coefficient of mutual induction : It may be defined in following two ways:
(i) Coefficient of mutual induction between two coils is equal to the number of flux linkages in any one of the coils when the current in the second coil is one ampere.
(ii) The coefficient of mutual induction between two coils is equal to the numerical value of induced emf in one coil (secondary coil) which is generated due to unit rate to change of current i.e. 1 amp/sec in the other (secondary coil).
Solution of Numerical :
$|e_{2}|=M(\frac{\Delta I_{1}}{\Delta t}) \Rightarrow M=\frac{|e_{2}| \times \Delta t}{\Delta I_{1}}$
$=[\frac{(0.8) \times (0.3)}{(2-0)}]H$
$=0.12 H$

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