Q: Compute the voltage Vo applying source transformation method.
Solution:
We have to calculate the voltage Vo utilizing source transformation method. We will further proceed as
In the circuit 3k is in series with 12 volts battery. Therefore it may be converted into a current source having value =12/3k (by using ohm's Law)
=4mA
Now voltage source is converted in the current source as indicated below
In the circuit 3k resistor is in parallel along 6k resistor therefore
3k||6k = (3k x6k)/3k +6k
= 2k
We will now replace 3k & 6k resistance with 2k as indicated in the following circuit
4mA source is parallel along 2k resistor. Therefore it can be converted into a voltage source. By applying ohm's Law we get the value of voltage source = 8 volts which will be in series from resistor of 2k, so our altered circuit will be like
In the above shown circuit 2k is in series from 2k so altered circuit will be like
8volt source is in series from 4k resistor. Therefore it may be converted into a current source of value = 8/4k (Ohm's Law)
= 2mA
2mA current source is in parallel from 4k
Our altered circuit will be like
In the above shown circuit two sources of current are parallel to each other, so current sources will sum up to give value of 4mA.
Our altered circuit will be like
In the above shown circuit 4mA source is in parallel to 4k resistor .therefore it might be transformed into a voltage source having value 16volts by using Ohm's Law. Our altered circuit will be
In the above indicated circuit 4k & 4k are in series therefore our altered circuit will be as
Now we will apply voltage division rule
V0 = 8k/16k x 16V
V0 = 8V Ans.