Hello

In this question, I have the voltage between A and B and I need to find Vin.
How do I do that?

I tried setting the ground at B, and I called V1 the node above A and V2 the node below A.

I did a node voltage:
V1/5 + (V1-VAB)/4 = 0
and same for V2

then I tried Vin = V1 - V2 but I did not reach the desired value.
Can somebody help me?

 

It would be helpful for you to show a bit more detail of your work in arriving at the answer you chose.


hgmjr

 

Sure

I attached an image showing where I chose V1 and V2. The ground is on B.

so:
V1/5 + (V1-VAB)/4 = 0
V1(1/5+1/4) = 10.46+6.04j
so V1 = 23.24+13.12j V

(V2 - VAB)/(-4j) + V2/(8.66j) = 0
V2(1/(-4j) + 1/(8.66j)) = -6.04+10.46j
so V2 = 77.73+44.88j

Now I want Vin which is equal to V1-V2 (right?) = -54.5-31.68j
= 63.03 < -149.83

Which is different from the correct answer.

 

V1/5 + (V1-VAB)/4 = 0

Your very first equation is wrong. Those two currents don't add up to zero. What about the current in the + line of the Vin source?

The rest of your calculations suffer from the same problem.

I would solve the problem by letting the - input be the reference and calculate two voltage dividers to nodes A and B, take the difference, and go from there.

 

Amazing! After a lot of trials, I reached the correct answer

Vin-VA = Vin*4 / (4-4j) ..... (1)
Vin-VB = Vin*5 / (5+8.66j) ..... (2)

Then do (2) - (1)
Isn't that what you meant?

 

Then you have to do:

(48.3<30) divided by ((2) - (1)).