1. Using the impedance method, find an expression (Vc A(w) sin(wt + p)) for the voltage across the capacitor. Plot the transfer function A(w) and the phase o as a function of the input frequency (complete the following plots). = 2. Denote the break-frequency and slope of the transfer function. 3. What type of filter is this, and why? (low pass, bandpass, high pass, or band stop?) 4. What if we replace the position of the resistor and the capacitor? What type of filter then this would be?

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How does an RC circuit behave at different frequencies?
Consider the following RC circuit. Assume the input voltage is a sinusoidal signal that can be written as
V₂ = sin (wt).
1.
A(w) sin(wt + p)) for the voltage across
Using the impedance method, find an expression (Vc
the capacitor. Plot the transfer function A(w) and the phase o as a function of the input frequency
(complete the following plots).
2.
Denote the break-frequency and slope of the transfer function.
3. What type of filter is this, and why? (low pass, bandpass, high pass, or band stop?)
4. What if we replace the position of the resistor and the capacitor? What type of filter then this would
be?
V2
ww
R1
=
Figure 1. An RC circuit with sinusoidal input
C2
Transcribed Image Text:How does an RC circuit behave at different frequencies? Consider the following RC circuit. Assume the input voltage is a sinusoidal signal that can be written as V₂ = sin (wt). 1. A(w) sin(wt + p)) for the voltage across Using the impedance method, find an expression (Vc the capacitor. Plot the transfer function A(w) and the phase o as a function of the input frequency (complete the following plots). 2. Denote the break-frequency and slope of the transfer function. 3. What type of filter is this, and why? (low pass, bandpass, high pass, or band stop?) 4. What if we replace the position of the resistor and the capacitor? What type of filter then this would be? V2 ww R1 = Figure 1. An RC circuit with sinusoidal input C2
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