V\_s
+\\
50 mF
10 ?
www
+\\
100 mF 20 ??
V\_o
-
a) (1 pt) Draw the circuit in the frequency domain:
b) (1 pt) Calculate the transfer function (gain) $H(\omega) = \frac{V\_o(\omega)}{V\_s(\omega)}$. Express the result in
rectangular form (a + jb).
c) (1 pt) Calculate the magnitude of the transfer function $|H(\omega)|$
d) (1 pt) Calculate the phase angle of the transfer function $\phi(\omega)$
e) (2.5 pts) If $\omega = 0.85$ rad/sec, calculate the magnitude and phase (in deg) of $H(\omega)$, then
express the gain magnitude in decibels. Is the output voltage leading or lagging the input
voltage?
f) (2.5 pts) If $\omega = 2.0$ rad/sec, calculate the magnitude and phase (in deg) of $H(\omega)$, then
express the gain magnitude in decibels. Is the output voltage leading or lagging the input
voltage?