- #1
thomas49th
- 655
- 0
Hi, I have a question something along the lines of
Here is a low pass filter, when the resistor = R and the capacitor = C. There is a sinusoidal voltage input source (V1) and a voltage across the capacitor (V2). The transfer function is T(w) = V2/V1.
Determine the |T(w)| and arg(T(w)) where T(w) is the transfer function. Calculate the magnitude of T(w) when V2 lags V1 by 45°
OKAY! So w = 2*pi*f.
T(w) = [tex]\frac{1-jRwC} {-(RWC)^2 - 1}[/tex]
|T(w)| = [tex]\frac{\sqrt{1+(RwC)^2}}{(RWC)^2 - 1}[/tex]
so am I right in thinking arg(T(w)) is tan(x) = -RwC?
BUT how on Earth do I determine the magnitude when V2 lags V1 by 45°. I thought the capacitor only lags current. I'm confused
Thanks
Here is a low pass filter, when the resistor = R and the capacitor = C. There is a sinusoidal voltage input source (V1) and a voltage across the capacitor (V2). The transfer function is T(w) = V2/V1.
Determine the |T(w)| and arg(T(w)) where T(w) is the transfer function. Calculate the magnitude of T(w) when V2 lags V1 by 45°
OKAY! So w = 2*pi*f.
T(w) = [tex]\frac{1-jRwC} {-(RWC)^2 - 1}[/tex]
|T(w)| = [tex]\frac{\sqrt{1+(RwC)^2}}{(RWC)^2 - 1}[/tex]
so am I right in thinking arg(T(w)) is tan(x) = -RwC?
BUT how on Earth do I determine the magnitude when V2 lags V1 by 45°. I thought the capacitor only lags current. I'm confused
Thanks