The Source Transformation

Source Transformation - is a circuit that transforming voltage to current and vice versa. and it is a application of the Thevenin's Theorem and the Norton Theorem.

Performing a source transformation consists of using Ohm's law to take an existing voltage source in series with a resistance, and replace it with a current source in parallel with the same resistance. Remember that Ohm's law states that a voltage on a material is equal to the material's resistance times the amount of current through it (V=IR). Since source transformations are bilateral, one can be derived from the other. 

- Specifically, source transformations are used to exploit the equivalence of a real current source and a real voltage source, such as a battery. Application of Thévenin's theorem and Norton's theorem gives the quantities associated with the equivalence. Specifically, suppose we have a real current source I, which is an ideal current source in parallel with an-impedance.

Examples:

Sample Problem:

Some Learnings:

• Before solving the unknown, we transform 1st the sources from voltage to current and vice versa.
• Source transformation can be applied if the voltage is in series with the resistor and the current is in parallel with the resistor.
•  Remember that Ohm's law states that a voltage on a material is equal to the material's resistance times the amount of current through it (V=IR). 

Another Example: