What is Inductor I-V Equations?
The I-V (current-voltage) equations for an inductor describe how the current flowing through an inductor changes in response to changes in voltage applied across it. We have derived both differential and integral forms of I-V equations for an inductor. They are as follows:
Differential Form
[Tex]V = \frac{d\Phi}{dt}[/Tex]forms
Integral Form
[Tex]I = \frac{1}{L}\int Vdt[/Tex]
From the differential form of I-V equation, we can find the value of voltage across the inductor if we already know the value of inductance and rate of change of current flowing through the inductor. Whereas using integral form, we can find the current flowing through the inductor if we know the inductance and voltage across the inductor.
Inductor I-V Equation in Action
The inductor is a passive element that is used in electronic circuits to store energy in the form of magnetic fields. It is usually a thin wire coiled up of several turns around a ferromagnetic material. Inductors are used in transformers, oscillators, filters, etc. The amount of energy that can be stored by the inductor in the form of the magnetic field is called inductance measured in Henry named after the famous scientist Joseph Henry.
Inductor works on the principle of one of Maxwell’s four equations which states that a changing electric field produces a changing magnetic field and vice versa. Unlike a capacitor, an inductor cannot sustain the stored energy as soon as the external power supply is disconnected because the magnetic field decreases steadily as it is responsible for current flow in that circuit in the absence of the power supply.
Table of Content
- Inductor I-V Equations
- Relation Between Current and Voltage
- Inductor Voltage is Proportional To The Rate of Change of Current
- Inductor and Current Source
- Inductor and Voltage source
- Inductor and Switch
- Solved Examples