Design a differentiator to have a time constant of 10 – 2 s and an input capacitance of 0.01 µ.F….

Design a differentiator to
have a time constant of 10-2
s and an input capacitance of 0.01
_.F. What is the gain magnitude and phase of this circuit
at 10 rad/s, and at 103 rad/s? In order to limit the high-frequency gain of
the differentiator circuit to 100, a
resistor is added in series with the capacitor. Find the required resistor
value.