Purpose: The self inductance of a coil will be measured using the impedance of an R-L circuit and also by using the resonance of an R-L-C circuit.
Theory:
(I) the current in a circuit (Fig. 1) containing an inductance L and a total resistance RT , to which an AC emf
is applied is
(1)
In this equation
and
is called the impedance of the circuit. Note that Z depends on (1) the applied frequency
; (2) the total resistance RT=RL+R , which is the sum of the resistance of the coil (RL) and the other resistance (R) in the circuit; (3) the inductance L.
The amplitude of the current
. Thus from equation (1) we can write
(2)
A plot of
vs.
will be a straight line with slope
.
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