How To Find The Inductance Of An Inductor
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Inductance formula constants and variables.
How to find the inductance of an inductor. The equivalent inductance of parallel inductors is the reciprocal of the sum of the reciprocals of the individual inductances. The current through the inductor is a function of both the frequency as well as the inductance. The inductive reactance of an inductor is dependent upon its inductance as well as the frequency that is applied.
Note that the inductors in parallel are combined in the same way as resistors in parallel. For two inductors in parallel n 2 equation. It is possible to express this as a formula to calculate the reactance at a particular frequency.
The formula to calculate the total parallel inductance is. Set the lcr to measure l or inductance. An lcr meter can take several measurements which will be listed on the dial.
As the frequency approaches infinity the inductors reactance would also increase to infinity acting like an open circuit. In other words when inductors are in parallel the total inductance shrinks. Let us use this last equation to find an expression for the inductance of a solenoid.
So to calculate the total inductance of the circuit above the total inductance lt would be. The following physical constants and mechanical dimensional variables apply to equations on this page. From the above equation for inductive reactance it can be seen that if either of the frequency or inductance was increased the overall inductive reactance value would also increase.
Since the area a of a solenoid is fixed the change in flux is d f d b a a d b. Power the lcr meter and wait for it to turn on. Note when inductors are in parallel the total inductance value is always less than the smallest inductor of the circuit.
So using the above formula the total inductance is 545w. X l 2 p f l. The reactance increases linearly with frequency.
To find d b we note that the magnetic field of a solenoid is given bylatexbmu 0nimu 0fracnielllatex. For a dc signals 0 hz the inductor represents a short circuit. So a coil of many turns will have a higher inductance value than one of only a few turns and therefore the equation above will give inductance l as being proportional to the number of turns squared n 2.
F is the frequency and l is the inductance of the coil and 2pf w. As the inductance of a coil is due to the magnetic flux around it the stronger the magnetic flux for a given value of current the greater will be the inductance.
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