U(2)t is supposed to differ from U(1)t by - 45 degrees. Q8 asks for C1 and U2(t). The rest of the information is written down on the circuit.

So I made to assumptions about this circuit:

1) R1 and R2 are a Voltage Divider. Since R1 = R2 = 10kOhm. I figured, that we get a voltage of 2.5V as the "new" input signal.

2) My second assumption is that we deal here with a

__filter.__

**LOW PASS**If this is the case, than I could use the following two formulas to solve the problem:

φ(ω) = -arctan (ωCR)

-45 = -arctan (ωCR) // Comment *(-1)

45 = arctan (ωCR) // *tan()

tan(45) = ωCR // Divided by ωR

tan(45) / ωR = tan(45) / (2 * π * 1000Hz * 5000Ω) = 32nF = C

U2(t) = ?

At Cut off frequency (and that is what we are talking about here, isn't it? (φ = -45°)) I can use U2(t) ≈ U1(t) * √2 = 3.54 V

I knew the "right" result after I calculated the 32nF for C and it got "confirmed" when I calculated U2(t).

After I checked the results, it turned out that my assumptions had one tiny problem, they were all bollocks.

Any idea where I went wrong?

Tobias