Inductor and Voltage source
Given Below is the circuit of Inductor and Voltage Source
Inductor connected to voltage source
Instead of a current source let us consider a voltage source V = 1 V connected to an inductor having inductance L = 1 mH. We can find the current flowing through it with the help of our derived equation of relation between current and voltage in an inductor.
[Tex]I = \frac{1}{L}\int_{0}^{T}Vdt\\ \hspace{1mm}\\ I = \frac{1}{10^{-3}}\int_{0}^{T}1dt\\ \hspace{1mm}\\ I = 10^3[t]_{0}^{T}\\ \hspace{1mm}\\ I = 10^3[T-0]\\ \hspace{1mm}\\ I = 10^3T\\ \therefore I = 1000 \hspace{1mm} A/sec[/Tex]
Graph of current versus time in an inductor
We can see that the current increases linearly with a rate of 1 kA/sec if we connect a constant voltage source. Practically, the voltage source cannot supply such enormous amounts of current and even if it was capable, the circuit would get damaged due to wires and inductor itself melting down due to high current flow. Hence we must connect a switch along with the inductor to provide short pulses of voltage instead of providing steady voltage throughout the entire time. This will reduce the peak current which flows through the circuit.
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