Principle of Superposition in Circuits

1. The problem statement, all variables and given/known data

Assume that V = 4.8V and I = 3.2mA. Find Ix in the figure using the principle of superposition.

2. Relevant equations

Kirchhoff’s Current Law
Kirchhoff’s Voltage Law
Total response = ∑responses from each individual source

3. The attempt at a solution

I believe I’m having trouble in simply solving for I_x in each circuit, but if you see any other mistakes please let me know.

Replacing the voltage source with a short circuit, we have:

Not really sure how to go about solving this one. If I had to guess, I would right a KCL at the bottom node such that:

I + the current across the 2k and 1k Ohm resistors = I_x

Replacing the current source with an open circuit, we have:

Summing the resistances now in series and solving for i_total:

4k * i_total = 4.8

i_total = .0012 A

If I’m not mistaken, this should be equal to I_x_2.

I_x = I_x_1 + I_x_2 = ?

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