Circuit Connections in Inductors

An Inductor when connected in a circuit, that connection can be either series or parallel. Let us now know what will happen to the total current, voltage and resistance values if they are connected in series as well, when connected in parallel.

Inductors in Series

Let us observe what happens, when few inductors are connected in Series. Let us consider three resistors with different values, as shown in the figure below.

Inductance

The total inductance of a circuit having series inductors is equal to the sum of the individual inductances. Total inductance value of the network given above is

LT=L1+L2+L3LT=L1+L2+L3

Where L₁ is the inductance of 1^st resistor, L₂ is the inductance of 2^ndresistor and L₃ is the inductance of 3^rd resistor in the above network.

Voltage

The total voltage that appears across a series inductors network is the addition of voltage drops at each individual inductances.

Total voltage that appears across the circuit

V=V1+V2+V3V=V1+V2+V3

Where V₁ is the voltage drop across 1^st inductor, V₂ is the voltage drop across 2^nd inductor and V₃ is the voltage drop across 3^rd inductor in the above network.

Current

The total amount of Current that flows through a set of inductors connected in series is the same at all the points throughout the network.

The Current through the network

I=I1=I2=I3I=I1=I2=I3

Where I₁ is the current through the 1^st inductor, I₂ is the current through the 2^nd inductor and I₃ is the current through the 3^rd inductor in the above network.