Design a compensated 10X probe for an oscilloscope that has an input impedance o

Question

Design a compensated 10X probe for an oscilloscope that has an input impedance of 1 M Ohm in parallel with 10 pF. A 10X probe is a probe that attenuates the signal by a factor of 10 so, for example, a 1-V signal at the probe tip is only 100 M=mV at the scope input. A compensated probe is one that has a flat frequency response, see (1.28). (b) If the capacitor in the scope probe is variable, what must its range of adjustment be to allow the user to always be able to adjust the transfer function of the probe to be independent of frequency if the scope's input resistance and capacitance can both vary by plusminus10%? Note that the attenuation of the probe will vary if the input resistance of the scope varies; only the frequency response can be adjusted using the variable capacitor.

Explanation / Answer

Have Vs connected to a resistor and capacitor in parallel (input). Then have another resistor and capacitor in parallel connected to the input (load). Set RiCi = RlCl to get a frequency independent transfer function. Solve for Rl from the given Ri. Then solve for Cl using your calculated Rl and given Ri and Ci

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