Hello,
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 LOW PASS filter.
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
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 LOW PASS filter.
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