Solve Daniel's Superposition Problem: Find i3 in Fig (5) Circuit

[another813]

Apply Superposition to the circuit of Fig (5) to find i3.

i3 is above the 100v source flowing upward.

I have provided the problem on the attachment.

Like the theorem states, I have the 3 different re-drawings with the sources short circuited and removed. I have been surfing for hours trying to find a similar problem to help me out.

I do understand how to do like it is on this website http://www.wisc-online.com/objects/index_tj.asp?objID=DCE3802 .

I am just confused on what I should do next on my problem. I am not expecting someone to just give me the answer rather to just give me a hint on what I need to next.

Thanks in Advanced.
-Daniel

 

[ranger]

Hi Daniel (welcome to PF, btw),

Your redraws look good. But consider redrawing even more. If you take redraw number 1 where you only consider the current source, what would the equivalent circuit look like? Remember that the V1 has been replaced by its ideal internal resistance, therefore we have a short in parallel with U4 and R4. When we have such a situation what happens?

If you simplify your redraws more, you'll be able to find I3 due to each one of these sources, the finally you'll add or subtract them depending on current direction to get the resultant.

 

[piercas]

Dear Daniel,

Thank you for reaching out for assistance on your superposition problem. I am happy to help guide you in the right direction.

To solve for i3 in the circuit shown in Fig (5), we can apply the principle of superposition, which states that the total response of a linear system is equal to the sum of its individual responses to each input source acting alone.

To apply this principle, we need to break down the circuit into its individual components and solve for i3 in each case. This means we will have three different calculations for i3 - one for each source acting alone.

First, we can redraw the circuit with only the 100V source present and all other sources short-circuited or removed. In this case, we can use Ohm's law to calculate the current flowing through the 100V source and label it as i3.

Next, we can redraw the circuit with only the 50V source present and all other sources short-circuited or removed. Again, we can use Ohm's law to calculate the current flowing through the 50V source and label it as i3'.

Lastly, we can redraw the circuit with only the 25V source present and all other sources short-circuited or removed. Using Ohm's law, we can calculate the current flowing through the 25V source and label it as i3''.

Now, we can apply the principle of superposition by adding up the individual values of i3, i3', and i3'' to get the total value of i3 in the original circuit.

I hope this hint helps you continue with your problem and leads you to the correct solution. Remember to always double check your calculations and use the correct units for your final answer. Good luck!