An attenuator probe employed with oscilloscopes was designed to reduce the magnitude of the input voltage v; by a factor of 10. As shown in Figure Q4, the oscilloscope has internal resistance R, and capacitance Cs, while the probe has an internal resistance Rp. (a) Derive the circuit differential equation with the output voltage v. as the variable; (b) If Rp is fixed at 6 M (6 × 106 N), find R¸ and C¸ for the circuit to have a time constant of 15 μs (15 × 10-6 seconds). Probe www Scope + Rp R www C's Figure Q4 IQ

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An attenuator probe employed with oscilloscopes was designed to reduce the
magnitude of the input voltage v; by a factor of 10. As shown in Figure Q4, the oscilloscope
has internal resistance R, and capacitance Cs, while the probe has an internal resistance Rp.
(a) Derive the circuit differential equation with the output voltage v. as the variable; (b) If Rp
is fixed at 6 M (6 × 106 N), find R¸ and C¸ for the circuit to have a time constant of 15
μs (15 × 10-6 seconds).
Probe
www
Scope
+
Rp
R
www
C's
Figure Q4
IQ
Transcribed Image Text:An attenuator probe employed with oscilloscopes was designed to reduce the magnitude of the input voltage v; by a factor of 10. As shown in Figure Q4, the oscilloscope has internal resistance R, and capacitance Cs, while the probe has an internal resistance Rp. (a) Derive the circuit differential equation with the output voltage v. as the variable; (b) If Rp is fixed at 6 M (6 × 106 N), find R¸ and C¸ for the circuit to have a time constant of 15 μs (15 × 10-6 seconds). Probe www Scope + Rp R www C's Figure Q4 IQ
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