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Worksheet: CR Charging

<^< C-R Charging | Course Index | C-R Discharging >^>

Objective: To investigate the action of a C-R charging circuit when connected to a d.c. supply.
Underpinning knowledge: Capacitance, charge and voltage. Time constant.
Apparatus: TINA circuit file, or apparatus to make the following circuit.
TINA Circuit File: Click here to download circuit file
Initial Settings: C = 100µF, R = 1MΩ, 10V d.c. Supply.
Requires: Paper, Linear graph paper, pen or pencil.
Instructions:

(a) Change the switch so the capacitor is connected to the voltage supply. Then start the simulation in transient mode.

(b) Take readings of capacitor voltage every 20s from 0 to 200s and then every 50s from 200s to 400s. At each point, measure and record the capacitor voltage in a table.

(c) Plot a graph showing capacitor voltage, VC, plotted against time, t.

(d) Determine the time constant of the circuit (C x R).

Observations:

Comment on the shape of the graph. Determine the time taken for the capacitor to reach 63% of its final voltage (i.e. 63% of 10V or 6.3V). Confirm that this time is the same as the time constant (C x R) for the circuit.

Further work:

Construct a tangent to your curve of VC plotted against time at t = 0. The line of this tangent should pass through 10V on the voltage scale at a time equal to the time constant (C x R). What can you infer from this?

<^< C-R Charging | Course index | C-R Discharging >^>

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Page last modified on July 28, 2011, at 01:20 PM