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ECE3161 Analogue Electronics - MUM S2 2025
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Q7. Determine the oscillation frequency
Consider the oscillator below which is driven by a dependent current source. Assuming sufficient g_m there to sustain oscillations, find the oscillation frequency in rad/s?
Q8. Determine the oscillation frequency
Find the oscillation frequency of the op-amp oscillator below.
Q6. Determine the oscillation frequency
The oscillation frequency of an LC oscillator is given by f= \frac{1}{2\pi\sqrt{LC}}, where
L and
C are the values of the inductor and capacitor setting the oscillation. For the oscillator below. find the oscillation frequency.
Q5. Determine the component values
The oscillation frequency of an LC oscillator is given by f= \frac{1}{2\pi\sqrt{LC}}, where
L and
C are the values of the inductor and capacitor setting the oscillation. For the oscillator below. find the values of
L and
R_f so that the oscillation frequency is
5\text{kHz}.
Q3. Determine the gain and phase to sustain oscillations
A negative feedback system is shown below. Under what conditions does the system oscillate?
Q4. Determine the oscillation frequency (angular frequency) and a filter parameter
A sinusoidal oscillator consists of an amplifier having a positive, frequency-independent gain A connected in a feedback loop with a second order bandpass filter having the transfer function T(s) = \frac{(\frac{\omega_0}{Q})sK}{s^2 + (\frac{\omega_0}{Q})s + \omega_0^2} , where
s is the Laplace variable, and
K,
\omega_0, and
Q are positive constants. Find the frequency of oscillation and the minimum value of
K must have for sustained oscillations.
Q2. Determine the oscillation frequency
The oscillation frequency of an LC oscillator is given by f= \frac{1}{2\pi\sqrt{LC}}, where
L and
C are the values of the inductor and capacitor setting the oscillation. For the oscillator below. find the oscillation frequency.
Q1. Determine the gain and phase to sustain steady state sinusoidal oscillations
For the system description of the oscillator circuit below. determine the gain G and phase \theta that will ensure steady-state sinusoidal oscillation.
Q10. Find component values to make the transfer function frequency independent
The filter given below has the transfer function T(s)= v_{out}(s)/v_{in}(s) where
s is the Laplace variable. If
C_1 \neq C_2, and
R_1 \neq R_2, given
C_1,
R_1, find
C_2, and
R_2, if gain is frequency independent and equal to
-G where
G is a real positive number.
Q7. Find frequency that gives maximum gain
The bandpass filter given below has the transfer function T(s) = v_{out}(s)/v_{in}(s) where
s is the Laplace variable. At what frequency
\omega~\text{rad}/\text{s} (where
\omega is the Fourier variable), the gain of the filter is maximum?