Determine and using the superposition method.

Solution
I. Contribution of the voltage source:

To find the contribution of the voltage source, other three sources should be turned off. The voltage source should be replaced by short circuit. The current source should be replaced with open circuits, as shown below.

It is trivial that . The current of the resistor is zero. Using KVL, .

II. Contribution of the voltage source:
Similarly, the voltage source becomes a short circuit and the current source should be replaced with open circuits:

The current of the resistor is zero because of being short circuited. It is trivial that (current of an open circuit). The current of the resistor is also zero. Using KVL, .

III. Contribution of the current source:
The voltage sources should be replaced by short circuits and the current source becomes with open circuit:

Again, the resistor is short circuited and its current is zero. it is clear that . The current of the resistor is equal to . Using KVL, .

IV. Contribution of the current source:
Likewise, the voltage sources should be replaced by short circuits and the current source becomes with open circuit:

Again, the resistor is short circuited and its current is zero. it is also trivial that . The current of the resistor is . Using KVL, .

V. Adding up the individual contributions algebraically:

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## Join the Conversation

1. Sophie Kovalevsky says:

Dr, where can I contact u?
Do you have a email where i could contact u? I have some problem to public in the web.

1. Hi Sophie,
My email is yaz at solved-problems dot com. I promoted you account and you should be able to submit problems from here

Thanks,
Yaz

2. Sophie Kovalevsky says:

I’m so really excited teacher.
Thank you so much to active my account to submit problem.

3. abrar says:

i want super position problems with 3 sources

4. sham says:

i will appreciate u please include the more problems

5. sham says:

i will appreciate u please include the more problems 4 Responses to Superposition Problem with Four Voltage and Current Sources

1. sham says:

k thank u

2. Lalit shete says:

Use superposition theorom to determine the voltage across the current source in circuit

1. The voltage across the resistor is 2V. Therefore, $latex I_{10\Omega}=\frac{2V}{10 \Omega}=0.2 A$.

6. rehan says:

sir can u tell me some more example of nodal and superposition analyses

1. For superposition solved problems, see these.
For nodal analysis prolems, check out the ebook and these.

7. alveena says:

sir can you plz guide about some source transformation problems as well….

8. anubhab91 says:

9. anubhab91 says:

10. Awesome says:

Thank you so much. I love your notes. Short but precise !

11. anil says:

Sir this all numericals are very helpful but I have some small questions arrise in my mind which I want to know xo sir plz tell me how can I contact u plz

12. ansari anas says:

nice

one requested problem from my side is a circuit containing two independent current sources using superposition theorem