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Worksheet: CR Discharging

<^< C-R Discharging | Course Index | Passive Wave-shaping Circuits >^>(:nl:)

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 = 1M&#937;, 10V d.c. Supply.
Requires: Paper, Linear graph paper, pen or pencil.
Instructions:

(a) Change the switch so the capacitor is connected to the discharge resistor. 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, V'_C_', 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 fall to 37% of its initial voltage (i.e. 37% of 10V or 3.7V). 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 V'_C_' plotted against time at t = 0. The line of this tangent should pass through 0V on the voltage scale at a time equal to the time constant (C x R). What can you infer from this?

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