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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