There are three basic passive circuit components – Resistor, Capacitor and Inductor. One can find the voltage drop across a resistor simply by using Ohm’s law of current electricity. In another article, we have discussed different ways to find the voltage drop across a capacitor. Here I’m going to explain the formula and polarity of the voltage drop across an inductor. This will help to read the characteristics of an AC inductive circuits like LR, LCR and Transformer circuits.
Voltage drop across an Inductor in AC circuit
If a varying current passes through an inductor, an EMF induces across the inductor. An inductor is nothing but a coil and the varying current produces a varying magnetic field in that coil which causes the change in magnetic flux linked with the coil. Now, according to Faraday’s law of electromagnetic induction, an alternating voltage or EMF induces due to this varying magnetic flux through a coil.
In an electrical circuit, the source of a varying current is an external alternating voltage. Thus, the application of an AC voltage across an inductor produces an alternating voltage drop across the inductor. A direct current (DC) cannot produce varying magnetic flux. So, the DC voltage cannot drop a voltage across an ideal inductor that has zero resistance.
Formula of voltage across an Inductor
The formula of the voltage drop across an inductor of inductance L is, \color{Blue} V= L \frac{dI}{dt}………(1)
Where I is the time-varying electric current. This formula comes from Faraday’s law of electromagnetic induction. Using this equation of voltage across an Inductor, one can find the induced voltage across an inductive coil.
Polarity of the voltage drop across Inductors
Just like a resistor, an inductor does not have polarity. However, the voltage of an inductor has a polarity depending upon the direction of current flow. The polarity of the induced voltage across an inductor is determined by Lenz’s law of electromagnetic induction.
According to this law, the direction of induced voltage will be such that it opposes the charge in alternating current passing through it. Since the alternating current always changes its polarity, the induced voltage will also change its polarity with the same frequency as that of the alternating current passing through it. Whenever a changing current flows through an inductor, an opposite current induces inside it and an induced voltage arises. The direction of this voltage is always opposite to the direction of the applied voltage.
How to find the voltage across an Inductor?
To find the voltage across an inductor, you need to know two things –
- The inductance L of the inductor.
- The expression for time-varying current through the inductor.
After knowing these two parameters you can easily calculate the induced alternating voltage across the inductor by using equation-(1).
This is all from this article on the formula of the voltage drop across an inductor with its Polarity. If you have any doubts on this topic you can ask me in the comment section. Thank you!
Related posts:
- Voltage drop across a capacitor
- Faraday’s law of electromagnetic induction
- Impedance of an Inductor
- Voltage drop across resistors in series and parallel circuit
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