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(Solved): Design in the circuit diagram below as a low-pass filter for Vo output with a cutoff frequency of 10 ...



Design in the circuit diagram below as a low-pass filter for Vo output with a cutoff frequency of 10 Hz for Vi input using 1 ? R and C only once. (Write transfer function, differential equation for filter design, find C)

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Solution: To design the low pass filter that meets the given specifications as-

The cut-off frequency fC of the filter circuit is equal to fc=10 Hz.

Value of given resistor element R=1?.

The structure of the first-order passive RC low pass filter is obtained when the

output is taken across the capacitor element as -




Transform the circuit into s-domain with all initial conditions considered to be zero.

As,   

On drawing the s-domain circuit as-

Using KVL in the closed mesh-
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