1. THE KENYA POLYTECHNIC
UNIVERSITY COLLEGE
DEPARTMENT OF ELECTRICAL AND ELECTRONIC ENGINEERING
CERTIFICATE IN COMPUTER SERVICING AND MAINTENANCE
EXPERIMENT: CHARGING AND DISCHARGING OF A CAPACITOR
1.0 Capacitance
Capacitance (symbol C) is a measure of a capacitor's ability to store charge. A large capacitance
means that more charge can be stored. Capacitance is measured in farads, symbol F. However
1F is very large, so prefixes (multipliers) are used to show the smaller values:
µ (micro) means 10-6 (millionth), so 1000000µF = 1F
n (nano) means 10-9 (thousand-millionth), so 1000nF = 1µF
p (pico) means 10-12 (million-millionth), so 1000pF = 1n
2.0 PARTS AND MATERIALS
6 volt battery/ DC Power Supply
Two large electrolytic capacitors, 1000 µF minimum
Two 47KΩ resistors or any other value close to this.
One toggle switch, SPST ("Single-Pole, Single-Throw")
Voltmeter
Stop Watch
Note: Be warned that most large capacitors are of the "electrolytic" type, and they are polarity
sensitive! One terminal of each capacitor should be marked with a definite polarity sign. Usually
capacitors of the size specified have a negative (-) marking or series of negative markings
pointing toward the negative terminal. Very large capacitors are often polarity-labeled by a
positive (+) marking next to one terminal. Failure to heed proper polarity will almost surely
result in capacitor failure, even with a source voltage as low as 6 volts. When electrolytic
capacitors fail, they typically explode, spewing caustic chemicals and emitting foul odors.
Please, try to avoid this!
3.0 LEARNING OBJECTIVES
Capacitor charging action
Capacitor discharging action
Time constant calculation
Series and parallel capacitance
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2. 4.0 SCHEMATIC DIAGRAM
Connect the circuit as shown below.
5.0 CHARGE AND ENERGY STORED
The amount of charge (symbol Q) stored by a capacitor is given by:
Q = charge in coulombs (C)
Charge, Q = C × V where: C = capacitance in farads (F)
V = voltage in volts (V)
When they store charge, capacitors are also storing energy:
Energy, E = ½QV = ½CV² where E = energy in joules (J).
Note that capacitors return their stored energy to the circuit. They do not 'use up' electrical
energy by converting it to heat as a resistor does. The energy stored by a capacitor is much
smaller than the energy stored by a battery so they cannot be used as a practical source of
energy for most purposes.
6.0 CAPACTITOR CHARGING
Build the "charging" circuit and measure voltage across the capacitor when the switch is closed.
Notice how it increases slowly over time, rather than suddenly as would be the case with a
resistor.
TIME CONSTANT (RC)
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3. The "time constant" (τ) of a resistor capacitor circuit is calculated by taking the circuit resistance
and multiplying it by the circuit capacitance. For a 1 kΩ resistor and a 1000 µF capacitor, the
time constant should be 1 second. This is the amount of time it takes for the capacitor voltage to
increase approximately 63.2% from its present value to its final value: the voltage of the
battery.
PROCEDURE:
Plot a graph of Voltage across the capacitor versus the Time constant (RC) for the following
values of RC on a graph paper.
Time Constant (seconds) Voltage across the Capacitor (Vc)
0RC
1RC
2RC
3RC
4RC
5RC
Voltage
RC
7.0 CAPACITOR DISCHARGING
Build the "charging" circuit and measure voltage across the capacitor.Plot a graph of Voltage
across the capacitor versus the Time constant (RC) for the following values of RC on a graph
paper.
Time Constant (seconds) Voltage across the Capacitor (Vc)
0RC
1RC
2RC
3RC
4RC
5RC
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