Inductor and Current Source
When an inductor having inductance L = 1 mH is connected to a constant current source I = 1 mA. To find the voltage drop across the inductor we can use one of the above derived equations which results in,
[Tex]V = L\frac{dI}{dt}\\ \hspace{1mm}\\ V = 10^{-3}\frac{d10^{-3}}{dt}\\ \hspace{1mm}\\ V = 10^{-3}\times 0\\ \hspace{1mm}\\ \therefore V = 0 \hspace{1mm} volts[/Tex]
The above proof is valid for inductor having inductance and irrespective of the current supplied by the constant current source because the derivative of a constant is always zero and anything multiplied by zero becomes zero.
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