Discussion
The RC circuit shown in the following figure, is :
(Figure: from the input terminal, a resistor R and a capacitor C are connected in series to the output terminal; across the output, a resistor R and a capacitor C are connected in parallel. Vi is the input and Vo the output.)
Answer: C
The circuit is a band pass filter.
This is the Wien network: a series R-C arm feeding a parallel R-C arm, with the output across the parallel arm.
At low frequencies the series capacitor has a very high reactance and blocks the signal, so the output falls towards zero. At high frequencies the parallel capacitor has a very low reactance and shorts the output, so it again falls towards zero. In between, at \(f_{0} = 1/(2\pi RC)\), the output is greatest (one third of the input, with zero phase shift).
A response that is small at both ends and peaks in the middle is a band pass response. A low pass or high pass filter would pass one end of the spectrum, and a band reject filter would dip, not peak, in the middle.
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