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charging and discharging characteristics of DC (a) Here is the information about the circuit. Capacitor = 100 nF , Resistor = 47 kΩ ,Supply voltage = 5 V Charging characteristic for a series capacitive circuit: v=v(1 − e−t/RC) Investigate what the other terms in this expression mean. Calculate the time constant for the circuit. Use a spreadsheet to plot the charging curve over the range 0 to 20 ms (milliseconds). Investigate the meaning of ‘time constant’ and from your graph estimate a value. Compare this with your calculated one. Differentiate the charging equation and find the rate of change of voltage at 6 ms. From your graph measure the gradient at 6 ms and compare this with the calculated value. (b) Now investigate the discharging characteristic of the circuit but with a 22 kΩ resistor fitted. Calculate and estimate the rate of change of voltage when t = T.
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