Meow
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Playing around with ideas from the past few weeks of 6.200, it's possible to implement a kind of band-pass filter whose magnitude plot looks vaguely like the silhouette of a cat (as seen below). Note that this plot attenuates some frequencies, keeps some frequencies' amplitudes roughly the same, and amplifies some frequencies.
Whether this particular kind of frequency response is useful in practice is debatable, but it's kind of cute, so let's go ahead and think about how we would implement it. Here is the Bode plot of the filter we would like to implement:
We can implement this filter using the topology shown below, putting a single component in each box (labeled 1-6 below).
In each box below, enter a value of the form component_type, value, where
component_type is one of resistor, capacitor, or inductor, and value
is a number representing that component's value (in Ohms, Farads, or Henries,
depending on the type of component you chose).
For example, a 3{\rm k}\Omega resistor would be specified as resistor, 3000; and a 4.7\mu{\rm F} capacitor could be specified as capacitor, 4.7e-6 or capacitor, .0000047.
In order to earn credit for this problem, your values should match the given frequency response exactly; this problem does not award partial credit for answers that don't match exactly.
Hints:
- We can think of this topology as being made up of two separate filters (one to the left of the op-amp, and one to the right). How does the frequency response of the overall system relate to the frequency responses of those two individual filters?
- How do the cutoff frequency and quality factor of a filter show up in its Bode plot? How do those quantities relate to the component values?
