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Homework Statement
We are given a passive RC low pass filter with an input voltage of 5 Vrms at a frequency of 1 kHz. The resistor has a value of 22 kΩ, the capacitor a value of 100 nF. There is a current i across the resistor. (see picture below)
We are to calculate the magnitude and phase angle of the output voltage.
By the way, in the picture below is in german, so V eff means rms, I think the rest should be apparent.
Homework Equations
UR = R*I
Uout = I*XC
XC = I / ω*C
ω = 2*π*f (in rad/s)
The Attempt at a Solution
Analytically, this is not a problem, and I have attached the solution from the professor. My only problem is that for ω the professor used the frequency f, and not 2πf. As in:
ω = f = 1 kHz
This makes no sense to me and seems wrong. Could somebody possibly clarify what´s going on here? Thanks in advance.