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Design a passive RC high pass filter with a cutoff frequency of 470 Hz using a...

Design a passive RC high pass filter with a cutoff frequency of 470 Hz using a 270 pF capacitor.

What is the value of the resistor? Express your answer with the appropriate units.

What is the transfer function of the filter? Express your answer in terms of the variables R, C, and s.

If the filter is loaded with a resistor whose value is the same as the resistor in part B, what is the transfer function of this loaded filter? Express your answer in terms of the variables R, C, and s.

What is the cutoff frequency of the loaded filter from part D? Express your answer with the appropriate units What is the gain in the pass band of the loaded filter from part D?

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