In charging a capacitor through a resistance; can we measure the time constant ?? directly by taking only one measurement of time which is equal to the time constant of the RC circuit? Explain your answer clearly.

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In an Resistance-Capacitance (RC) circuit, both DC and AC sources can be utilized for both charging and discharging the capacitor. Show one example of an RC circuit in series, for charging the capacitor, and one example in series for discharging a capacitor. Include resistances from 1 mOhm to 100 Ohms, and capacitances between 1 microfarads and 10 farads. Include currents between 1 mA and 10 A. Include voltages between 1 mV and 20 V. Show differences between DC and AC sources. Include graphs for capacitor charging and discharging. Include RC time constants for each of the three circuits. Explain the relative differences between the rates of charging and discharging with respect to the magnitude of the RC time constant.

You measure the potential difference across a capacitor atdifferent times while it's charging and record the followingresults:

Voltage (V) Time (s)
1.397 0.01655
2.731 0.03702
4.107 0.06658
5.525 0.11888

The final voltage the capacitor reaches after you go get somecoffee is 6.880 V.

(a) Use Excel to construct a spreadsheet that shows
(i) the above data as well as any and all calculations needed tocompute the resistance of the circuit component in question;
(ii) create a graph of -ln[(Vfinal-V)/Vfinal] vs. the time;
(iii) use Excel's trendline to plot a best-fit line through thedata and determine the slope from it.

(b) What is the slope of your graph?
Slope =

Time Constant (RC) =

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In charging a capacitor through a resistance; can we measure the time constant ?? directly by taking only one measurement of time which is equal to the time constant of the RC circuit? Explain your answer clearly.

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Physics: Principles with Applications

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