A sine-wave voltage source drives the circuit. This question attempts to measure the capacitance. You may use I = dQ/dt with VC = Q/C. Alternatively, you may use the capacitive reactance, XC = 1/ωC. The current in the circuit is I = I0*cos(ωt). You use the oscilloscope to measure the peak-to-peak voltage for the capacitor (VCp), and then for the resistor (VRp). Knowing the frequency (ω) and the resistance (R), one can (in theory) calculate the capacitance. Calculate the capacitance (in microfarads, μF = 10-6 F). These are the numbers: VCp = 15 volts VRp = 10 volts ω = 7,814 rad/s R = 608 ohms
A sine-wave voltage source drives the circuit. This question attempts to measure the capacitance. You may use I = dQ/dt with VC = Q/C. Alternatively, you may use the capacitive reactance, XC = 1/ωC. The current in the circuit is I = I0*cos(ωt). You use the oscilloscope to measure the peak-to-peak voltage for the capacitor (VCp), and then for the resistor (VRp). Knowing the frequency (ω) and the resistance (R), one can (in theory) calculate the capacitance. Calculate the capacitance (in microfarads, μF = 10-6 F). These are the numbers: VCp = 15 volts VRp = 10 volts ω = 7,814 rad/s R = 608 ohms
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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A sine-wave voltage source drives the circuit. This question attempts to measure the capacitance.
You may use I = dQ/dt with VC = Q/C. Alternatively, you may use the capacitive reactance, XC = 1/ωC. The current in the circuit is I = I0*cos(ωt). You use the oscilloscope to measure the peak-to-peak voltage for the capacitor (VCp), and then for the resistor (VRp). Knowing the frequency (ω) and the resistance (R), one can (in theory) calculate the capacitance.
Calculate the capacitance (in microfarads, μF = 10-6 F). These are the numbers:
- VCp = 15 volts
- VRp = 10 volts
- ω = 7,814 rad/s
- R = 608 ohms
Transcribed Image Text:R
(t)
Oscilloscope
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