Finding self-inductance of a coil
Self inductance is the property of a coil by virtue of which
it opposes the change in the magnetic flux causing it. A galvanometer connected
to the circuit of the coil shown the deflection change only when there is a
change in the switch mode that is during on and off mode. It indicates that the
induced EMF is generated only during that time.
The magnitude of the induced current developed in a coil is
directly proportional to the magnetic flux generated in that coil. We can
eliminate the proportionality using a constant called self inductance
coefficient.
We can find the magnetic flux in a coil using the concept
that it is the dot product of magnetic field induction and area of cross
section.
Further using the concept that the flux is the product of
self induction constant and induced current, we can find the self induction
constant as shown in the diagram below.
Similarly we can also find the mutual induction coefficient
as shown in the diagram below.
Inductance coils connected in series and parallel
We can measure the effective induction coefficient when the
coils are connected in series and parallel. When the coils are in series, the
current in each coil is same to the current passing in the circuit. We also
know that the emf of the circuit is the sum of total emfs in the circuit.
Using that concept we can find the effective coefficient when
the coils are connected in series as the sum of individual coefficients. When
the coils are connected in parallel, the current of the system is shared across
the coils and emf of the circuit is similar to the emf of the coil.
Thus we can measure the effective coefficient as shown in the
diagram below.
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