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Measuring Capacitance One way to measure capacitance is to apply a voltage step to an RC circuit with a known resistance R and observe the step response in the time domain. Figure 2a shows one approach using a lowpass RC circuit; the delay tp from the VSTEP transition to the 50% point of the ve waveform can be used to determine the capacitance if R is known. Figure 2b shows another approach using a highpass RC circuit; in this case the pulse width tw at the 50% point of the vg waveform can be used to determine the capacitance if R is known. Figure 2a. Step response of RC lowpass.

Measuring Capacitance One way to measure capacitance is to apply a voltage step to an RC circuit with a known resistance R and observe the step response in the time domain. Figure 2a shows one approach using a lowpass RC circuit; the delay tp from the VSTEP transition to the 50% point of the ve waveform can be used to determine the capacitance if R is known. Figure 2b shows another approach using a highpass RC circuit; in this case the pulse width tw at the 50% point of the vg waveform can be used to determine the capacitance if R is known. Figure 2a. Step response of RC lowpass.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Measuring Capacitance One way to measure capacitance is to apply a voltage step to an RC circuit with a known resistance R and observe the step response in the time domain. Figure 2a shows one approach using a lowpass RC circuit; the delay tp from the VSTEP transition to the 50% point of the ve waveform can be used to determine the capacitance if R is known. Figure 2b shows another approach using a highpass RC circuit; in this case the pulse width tw at the 50% point of the vg waveform can be used to determine the capacitance if R is known. Figure 2a. Step response of RC lowpass. VSTEP R VSTEP Vc to Vc Figure 2b. Step response of RC highpass. VSTEP VSTEP R VR VR tw For the circuit of Figure 2a, find an equation providing C. given R and tp. For the circuit of Figure 2b, find an equation providing C, given R and tw. In each case, for values of R- 10k2 and C = 100PF, find the value you would expect for tp and tw. P2. !!
Transcribed Image Text:Measuring Capacitance One way to measure capacitance is to apply a voltage step to an RC circuit with a known resistance R and observe the step response in the time domain. Figure 2a shows one approach using a lowpass RC circuit; the delay tp from the VSTEP transition to the 50% point of the ve waveform can be used to determine the capacitance if R is known. Figure 2b shows another approach using a highpass RC circuit; in this case the pulse width tw at the 50% point of the vg waveform can be used to determine the capacitance if R is known. Figure 2a. Step response of RC lowpass. VSTEP R VSTEP Vc to Vc Figure 2b. Step response of RC highpass. VSTEP VSTEP R VR VR tw For the circuit of Figure 2a, find an equation providing C. given R and tp. For the circuit of Figure 2b, find an equation providing C, given R and tw. In each case, for values of R- 10k2 and C = 100PF, find the value you would expect for tp and tw. P2. !!
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