# Answer to Question #72115 in Electrical Engineering for jojo

Question #72115

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.

(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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