3) The input of the oscilloscope can be modelled as a capacitor (Cs) in parallel with a 1MQ resistor (Rs). The circuit in Figure 3 can be used to measure the value of the input capacitor by measuring the voltage reaching the oscilloscope as a function of frequency. a) Solve for the gain G(w) of the voltage seen by the scope compared to the source voltage. Vin ww R RS Scope :CS b) Simplify your expression by taking R = Rs. At what frequency, w3dB, does the gain fall by 1/√√2 from the result at DC? Scope A/D Figure 3: Scope Impedance Measurement for Problem PL3

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3) The input of the oscilloscope can be modelled as a
capacitor (Cs) in parallel with a 1MQ resistor (Rs).
The circuit in Figure 3 can be used to measure the
value of the input capacitor by measuring the voltage
reaching the oscilloscope as a function of frequency.
Vin
ww
R
RS
Scope
a) Solve for the gain G(w) of the voltage seen by the
scope compared to the source voltage.
b) Simplify your expression by taking R = R5. At
what frequency, w3dB, does the gain fall by 1/√√2 from the result at DC?
:CS
Scope A/D
Figure 3: Scope Impedance Measurement
for Problem PL3
Transcribed Image Text:3) The input of the oscilloscope can be modelled as a capacitor (Cs) in parallel with a 1MQ resistor (Rs). The circuit in Figure 3 can be used to measure the value of the input capacitor by measuring the voltage reaching the oscilloscope as a function of frequency. Vin ww R RS Scope a) Solve for the gain G(w) of the voltage seen by the scope compared to the source voltage. b) Simplify your expression by taking R = R5. At what frequency, w3dB, does the gain fall by 1/√√2 from the result at DC? :CS Scope A/D Figure 3: Scope Impedance Measurement for Problem PL3
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