Basic Electrical and Electronics Engineering: Unit I: Electrical Circuits

Grouping of Inductors

with Solved Example Problems | Electrical Circuits

Two inductances L1 and L2 are connected in series with a voltage V.Here the supply voltage is equal to the summation of voltage drops across L1 and L2.

GROUPING OF INDUCTORS

Two inductances L1 and L2 are connected in series with a voltage V as shown in fig 1.18


Here the supply voltage is equal to the summation of voltage drops across Land L2.



L = L1 + L2

L is the equivalent inductance.

If two inductances L1 and L2 are connected in parallel, the supply voltage is V1 the branch currents are i1 and i2 as shown in fig 1.19.

The supply voltage is equal to the voltage drop across each and every inductance


From fig 1.19

i = i1 + i2

Example: 12

The inductances of 4H each are connected in series. What is the equivalant

inductance?

Equivalent inductance L = L1 + L2 + L3

L = 4+4+4

= 12Ω

Example: 13

The inductances are connected as shown in fig. Find the equivalent inductance.


4H and 4H are connected in parallel



The net inductance across A-B is

LA-B = L1 + L2 + L3

= 2 + 2 + 1

= 5H

Basic Electrical and Electronics Engineering: Unit I: Electrical Circuits : Tag: : with Solved Example Problems | Electrical Circuits - Grouping of Inductors