6.11 : Source Transformation for AC Circuits

Consider a circuit composed of a current source and a combination of resistors, capacitors, and inductors with known impedance values.

The aim is to utilize the source transformation technique to determine the voltage drop across the circuit's right-most branch.

Using source transformation, a current source in parallel with an impedance can be converted into a voltage source in series with the same impedance or vice-versa.

By applying Ohm's law, the source voltage is calculated. This value can then be expressed in terms of phasor.

In the transformed circuit, the impedance is in series with the voltage source, along with the other two elements of the top branch. The equivalent series impedance is obtained.

Now, the source transformation technique is applied again to convert the voltage source back into a current source.

Next, the impedance of the new parallel combination is obtained, which is utilized to transform the current source back into a voltage source.

Finally, the voltage division rule determines the voltage drop across the right-most branch.