Worked examples [Transformation or conversion of sources]

WORKED EXAMPLES

TRANSFORMATION OR CONVERSION OF SOURCES

Example 1 Convert the following voltage source into current source.

Solution: Equivalent current source is as below:

Example 2 Convert the following current source into equivalent voltage source.

Solution: The equivalent voltage source circuit is as shown in the figure.2.12.

E = IR = 5 ×  3 = 15 volts, R = 3Ω

3. For the circuit shown below obtain a single current source circuit, between the terminals A and B.

Solution: Equivalent current source circuit is as below:

Example 4 For the circuit shown below, obtain a single voltage source between the terminals A and B.

Solution: The circuit of equivalent voltage source is as below:

Example 5 For the circuit shown below, obtain a single voltage source between the terminals A and B.

Solution: The above circuit is a parallel combination of voltage sources.

Step 1: Converting the voltage sources into current sources, we get the following circuit. The direction of current sources should be noted.

Step 2: The equivalent current source of the above combination of current sources is :

I = I₁~ I₂ = 2~3

= 1A

The arrow is in the direction of that of I₂.

Step 3: The equivalent voltage source is as shown below:

Example 6 Convert the following circuit into a single voltage source.

Solution: The original circuit consists of two current sources. Since one terminal is common for both sources, they are in series.

Step 1: Converting the current sources into equivalent voltage sources the following circuit is obtained.

Step 2: Combining the two voltage sources which are in series, equivalent voltage source between the terminals A and B is as shown below:

Example 7 For the circuit shown below obtain the equivalent current source between the terminals A and B.

Solution: This problem is a parallel combination of voltage and current sources.

Step 1: Converting the voltage sources into current sources and re-drawing the circuit, the following figure is obtained.

Step 2: The equivalent current source of the above circuit is as shown below:

Example 8 Reduce the following to a single source equivalent.

Solution: The above circuit consists of two current sources in parallel in series with the voltage source, between the terminals A and B. The simplification consists of the following steps.

Step 1: Replacing the current sources by single current source, the following circuit is obtained.

Step 2: Converting the current source into voltage source and redrawing the circuit, we get

Step 3: Combining the voltage sources in series, we get the following equivalent voltage source.

Note 3: If necessary we can convert the above voltage source into its equivalent current source by using the conversion technique.