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ECE3161 Analogue Electronics - MUM S2 2025

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PL2.5: When you plot the frequency response of a filter (also known as a Bode plot), you will observe not only the magnitude but also the phase shift of the filter. Consider the response characterised over the frequency range spanning 10 Hz to 100 kHz. At the specific frequency of 1 kHz, what does the phase shift correspond to in terms of circuit functionality? Choose from one of the following:

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PL2.6: The Laplace domain transfer function of a second-order low pass filter (LPF) is denoted as:

\dfrac{V_{o}(s)}{V_{in}(s)} = \dfrac{k}{{s}^2 + \frac{\omega_{c}}{Q}s + {\omega_{c}}^2 }\dfrac{V_{o}(s)}{V_{in}(s)} = \dfrac{k}{{s}^2 + \frac{\omega_{c}}{Q}s + {\omega_{c}}^2 } where: V_{o}(s)V_{o}(s) is the filter output, V_{in}(s)V_{in}(s) is the filter input, kk is an arbitrary constant, \omega_{c}\omega_{c} is the filter cutoff frequency in radians, and QQ is the filter Q-factor. What does the term \frac{\omega_{c}}{Q}\frac{\omega_{c}}{Q} in the filter equation signify? Choose from one of the following:

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PL2.4: Which one of the following statements are true, for an ideal active filter?

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PL2.3: What is meant by filter cut-off frequency? Choose from one of the following:

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