circuits SOURCE TRANSFORMATION METHOD, Summaries of Circuit Theory

SOURCE TRANSFORMATION METHOD explanation

Typology: Summaries

2021/2022

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Source Transformation Method in Circuit Analysis
Prepared by Engr. A.C.Patricio
Learning Objectives:
To be able to identify series or parallel resistance connected on a given source
To be able to simplify the number of meshes in the network.
To be able to solve circuit problems using source transformation method.
Source Transformation simply means replacing one source by an equivalent source. A
practical voltage source can be transformed into an equivalent practical current source and similarly
a practical current source into voltage source.
Voltage Source to Current Source Conversion
Assume a voltage source with terminal voltage V and the internal resistance r. This resistance is in
series. The current supplied by the source is equal to:
when the source of the terminals are shorted.
This current is supplied by the equivalent current source and the same resistance r will be connected
across the source. The voltage source to current source conversion is shown in the following figure.
Current Source to Voltage Source Conversion
Similarly, assume a current source with the value I and internal resistance r. Now according to the
Ohm’s law, the voltage across the source can be calculated as
Hence, voltage appearing, across the source, when terminals are open, is V.
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Prepared by Engr. A.C.Patricio

Learning Objectives:

 To be able to identify series or parallel resistance connected on a given source

 To be able to simplify the number of meshes in the network.

 To be able to solve circuit problems using source transformation method.

Source Transformation simply means replacing one source by an equivalent source. A

practical voltage source can be transformed into an equivalent practical current source and similarly

a practical current source into voltage source.

Voltage Source to Current Source Conversion

Assume a voltage source with terminal voltage V and the internal resistance r. This resistance is in

series. The current supplied by the source is equal to:

when the source of the terminals are shorted.

This current is supplied by the equivalent current source and the same resistance r will be connected

across the source. The voltage source to current source conversion is shown in the following figure.

Current Source to Voltage Source Conversion

Similarly, assume a current source with the value I and internal resistance r. Now according to the

Ohm’s law, the voltage across the source can be calculated as

Hence, voltage appearing, across the source, when terminals are open, is V.

Prepared by Engr. A.C.Patricio

Example. Consider the circuit shown. Find the value of the voltage measured by the voltmeter.

The voltmeter measures the voltage across the current source. (The color-coded probes of the

voltmeter indicate the reference direction of the voltage measured by the voltmeter.)

the circuit after the replacing the voltmeter by the equivalent open circuit and adding a label to show

the voltage measured by the meter, Vm.

*Start transforming the sources to minimize the meshes to the simplest circuit possible drawn from

the given network.

Prepared by Engr. A.C.Patricio

*reduced and simplified circuit labeling the current i, of the resistor. Applying KCL at the top node of

the circuit gives

Prepared by Engr. A.C.Patricio

Example. Find the power associated with the 6 V source. State whether the 6 V source is absorbing

or delivering power to the circuit.

Prepared by Engr. A.C.Patricio

Assessment. Attach your solution sets in schoology.

  1. Consider the circuit show, Find the value of the resistance, R.
  2. Find iR1 in the given circuit.