Filter, Two Ways
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You measure the magnitude and phase of the frequency response of a circuit to be the following:
For that same circuit, when you drive it with a sinusoidal input at some frequency f_1, the input (solid) and output (dashed) waveforms are shown below, as a function of time:
When you drive the circuit with a different frequency f_2, the input(solid) and output (dashed) waveforms instead look like:
Answer the following questions about this circuit, and explain your reasoning for each:
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Approximately what frequencies f_1 and f_2 correspond to those graphs?
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Draw a complete schematic drawing of a circuit that could be represented by the graphs above. The input to this circuit should be a single voltage source with value V_{\rm in}(t). Clearly label all values in your circuit (including units), and clearly label the output voltage as well.
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Now suppose that the graphs on the previous page were identical but were measuring current (in Amps) instead of voltage. Draw a complete schematic drawing of a circuit that could be represented by those graphs. The input to this circuit should be a single current source with value I_{\rm in}(t). Clearly label all values in your schematic (including units), and clearly label the output current as well.
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