The topic of this problem is operational amplifier circuits.

And the problem is to find v out in the circuit shown below,

it's a circuit with multiple resistors in it, one voltage source,

an independent 12 volt source Two op-amps.

And the output is measured across a load resistance which is 40 kilohms at

the output of the second op amp.

In order to solve this problem, we have to use the properties of an ideal op amp.

So we start with the symbol for an ideal op-amp.

It has an inverting input with a current associated with it,

i minus, and a voltage associated with it, v minus and

also has a non-inverting input with a current i plus and

a voltage v plus associated with it.

It has an output and a ground.

We know that the properties of the ideal op-amp

are that the currents at both of the inputs.