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In this experiment, you will investigate
some of the properties of capacitors. To assist you,
you have been provided with two (or more) capacitors
and an instrument
that has within it three parts: 1. voltmeter, 2. coulomb
meter, 3. voltage source.
In the normal configuration of the
instrument, it measures the voltage across the capacitor
that is connected to the input. If left in this configuration
for too long, it will cause the capacitor to discharge,
so measurements should be made with as little delay
as possible.
If the red button is pushed, the instrument
becomes a voltage source, and it charges the capacitor.
The value is read on the meter, and it can be varied
by turning the knob on the instrument. Both the voltmeter
and the voltage source have a range of 0 - 10 volts.
When the black button is pushed, the
instrument becomes a coulomb meter, and the charge on
the capacitor is read. The coulomb meter does this by
discharging the capacitor, and recording the charge
removed. The range of the coulomb meter is 0 - 1 microcoulombs.
Connect a capacitor to the instrument
with the leads provided. Press the red button and set
the voltage to some convenient value. Release the button
and notice that the voltage decreases very slowly. Then
short the capacitor with your fingers. Notice that the
briefest touch discharges the capacitor significantly.
This demonstrates that you must use care when dealing
with the capacitors so you do not inadvertently discharge
them.
Recharge the capacitor and press the
coulomb meter button. You should obtain a reading which
represents the charge that was on the capacitor, in
microcoulombs. When you release the button, the reading
will fall to zero. Thus if you wish to measure voltage
and charge, measure voltage first and then read charge
while the button is pressed.
1. Find the capacitance of each of
the two capacitors by charging them to a known voltage,
and measuring the resultant charge. Record the voltage
and the charge for the first capacitor.
a. Then use the relation, C = q/V
to find the capacitance. Write down the capacitance
of the capacitor. Call the first one measured C1.
b. Now repeat all steps for the second
capacitor. Call it C2.
2. Connect the two capacitors in series
and measure the capacitance of the combination, as you
did for each capacitor in part 1. Compare the result
with the calculated value from the relation, , where
C1 and C2 are the capacitances of the individual capacitors.
3. When you made the measurements on
the series combination in part 2, what was the charge
on C1 and what was the charge on C2?
4. When you made the measurements on
the series combination in part 2, what was the voltage
across C1 and what was the voltage across C2?
5. Connect the two capacitors in parallel
and measure the capacitance of the combination, as you
did for each capacitor in part 1. Compare the result
with the calculated value from the relation, C = C1
+ C2, where C1 and C2 are the capacitances of the individual
capacitors.
6. When you made the measurements on
the parallel combination in part 5, what was the voltage
across C1 and what was the voltage across C2?
7. When you made the measurements on
the parallel combination in part 5, what was the charge
on C1 and what was the charge on C2?
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