# Source Transformation

Transformation of several voltage (or current) sources into a single voltage (or current) source and a voltage source into a current source or vice-versa is known as source transformation. This makes circuit analysis easier.

There are some rules of source transformation.

**Several voltage sources {**

*Rule (1)**V*

_{1}(

*t*),

*V*

_{2}(

*t*), â€¦,

*V*(

_{n}*t*)} connected in series will be replaced by a single voltage source of value

*V*=

*V*

_{1}(

*t*) +

*V*

_{2}(

*t*) + â€¦+

*V*(

_{n}*t*).

**Source transformation technique: Rule (1)**

**A number of voltage sources**

*Rule (2)**V*

_{1}(

*t*),

*V*

_{2}(

*t*), â€¦,

*V*(

_{n}*t*) in parallel will result in a single voltage source,

*V*(

*t*) =

*V*

_{1}(

*t*) =

*V*

_{2}(

*t*) = â€¦ =

*V*(

_{n}*t*).

**Source transformation technique: Rule (2)**

**As far as the computations in the remainder of the network are concerned, a resistor in parallel with an ideal voltage source and a resistor in series with an ideal current source may be ignored.**

*Rule (3)***Source transformation technique: Rule (3)**

**A voltage source**

*Rule (4)**V*(

*t*) in series with a resistor

*R*can be converted into a current source

*I*(

*t*) in parallel with the same resistor

*R*, where,

*I*(

*t*) = .

**Source transformation technique: Rule (4)**