Inductors in Parallel Form
Inductors in parallel are the network of inductors that are connected together with the same two nodes in a circuit. This setup is similar to the connections of resistors in parallel. When connected in parallel the voltage across each inductor remains the same, however, the current in each inductor will be different. The maximum opposing inductor will receive the minimum current.
The total inductance of all the inductors connected in parallel will always be less than the individual inductance present in the circuit. The total current in the circuit is the sum of current in each inductor. The total inductance in the circuit increases or decreases according to the amount of magnetic coupling between the coils.
The diagrammatic representation for the inductors connected in parallel is given below:
The total inductance in the circuit where inductors are connected in parallel is given by the formula:
[Tex]\frac{1}{L_T} = \frac{1}{L_1} + \frac{1}{L_2} + …..+ \frac{1}{L_n} [/Tex]
The derivation of the above-mentioned formula is explained below:
The total current in the circuit is given by:
IT = I1 + I2 + I3 + ……..+ In
We know that the formula for voltage across an inductor is given by,
[Tex]V = L \frac{di}{dt} [/Tex]
we can write,
[Tex]V_T = L_T \frac{di}{dt} [/Tex]
[Tex]V_T = L_T \frac{d(I_1 + I_2 +…+I_n)}{dt} [/Tex]
[Tex]V_T = L_T (\frac{dI_1}{dt} +\frac{dI_2}{dt} + …. + \frac{dI_n}{dt} [/Tex]
Substituting V / L in place of di/dt, we get
[Tex]V_T = L_T (\frac{V}{L_1} + \frac{V}{L_2} +….+ \frac{V}{L_N}) [/Tex]
∴ We know VT = V, and the equation reduces to
[Tex]\frac{1}{L_T} = \frac{1}{L_1} + \frac{1}{L_2} + …..+ \frac{1}{L_n} [/Tex]
Also Check, Resistance in Parallel and Series
What is an Inductor?
Inductors are electrical components that create a magnetic field when an electric current is passed through them. Inductors are most commonly coil-like structures in electronic circuits that are mostly used to reduce or control electrical spikes in a circuit. There are various types of inductors including, Iron Core and Air Core Inductors. Its main functions include controlling signals and storing energy.
In this article, we will study Inductors, Types of Inductors, Functions, and Construction of Inductors, Energy stored in Inductors along with the Inductors in parallel and series, and a brief difference between inductors and capacitors.
Table of Content
- What is an Inductor?
- Construction of an Inductor
- Different Types of Inductors
- Functions of an Inductor
- Inductors in Parallel
- Inductors in Series
- Energy Stored in an Inductor
- Impedance of an Inductor
- Difference Between Inductor and Capacitor