The purpose of this activity is to investigate the nature of charging an object by contact as compared to
charging an object by induction. You will also determine the polarity of two charge ‘producers’ and
measure the amount of charge on each.
Background
Electric charge is one of the fundamental properties of matter.
Electrostatics is the study of electric charges and their
characteristics. For example, like charges tend to repel and unlike
charges attract. An object is electrically neutral most of the time;
that is, it has a balance of positive and negative electric charges.
The positive charges (+) come from the proton, while the
negative charges (-) are a result from the electrons. Rubbing
different materials together, contact with a charged object, and
charging by induction are the three ways to create an imbalance
of electric charge – sometimes called static electricity. Static
electricity is a charge and the unit of charge is the coulomb with
its SI symbol, q. Any positive or negative charge, q, that can be
detected can be written as q = ne where n = ±1, ±2, ±3, … in
which e, the elementary charge, has the value of 1.602 x 10-
19C. Frequently in experiments milliCoulombs (mC),
microCoulombs (μC), nanoCoulombs (nC) and even picoCoulombs (pC) are used.
As mentioned above, opposite charges always attract and like charges tend to repel. At an elemental level,
like charges always repel (electrons repel electrons, protons repel protons), but for macroscopic objects,
non-symmetric charge distribution can result in an overall attraction between two objects that carry the
same type of overall charge (positive or negative). Non-symmetrical charge distribution always results in
an attraction between a charged object and an electrically neutral (overall) object. Looking at the three
types of charging mentioned earlier, we can look at how the charges are distributed in each case:
1. Charging by rubbing: when two initially neutral non-conducting objects are rubbed together, one of
them will generally bind electrons more strongly than the other and take electrons from the other. The law
of conservation of charge requires that the total amount of electrons be conserved. That is, electrons only
move from one object to another, but no new electrons are created, nor do they disappear. Overall, the
two objects when considered together still have zero net charge.
2. Charging by contact: when a charged object is touched to a neutral (or less charged) object, repulsive
forces between the like charges result in some of the charge transferring to the less charged object so the
like charges will be further apart. This effect is much larger for conducting objects.
3. Charging by induction: the protons and electrons inside any object respond to electric forces of
attraction or repulsion. When an object is placed near a charged object, the charged object will exert
opposite forces on the protons and the electrons inside the other object, forcing them to move apart from
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each other. One side of the object will become more positive than it was initially. The other side will
become more negative, as electrons migrate internally. This condition is called polarization, a word that
refers to the object having “poles,” or opposite sides with different electrical states, even though the
object as a whole may still neutral. If a conductor is touched to the polarized object, some of the charge
will transfer to the conductor. If the conductor is then removed, the object now carries a net charge
different from its initial charge.
Historically, Michael Faraday used a metal ice pail as a conducting object to study how charges
distributed themselves with a charged object was brought inside the pail. The ‘ice pail’ had a lid with a
small opening through which he lowered a positively-charged metal ball into the pail without touching it
to the pail. Negative charges in the pail moved to the inner surface of the pail leaving positive charges on
the outside.
If the charged ball touches the inside of the ice pail, electrons would flow into the ball exactly
neutralizing the ball. This would leave the pail with a net positive charge residing on the outer surface of
the pail.
To experimentally investigate electrostatics, some charge-detecting or measuring device is needed. A
common instrument for this purpose is the electroscope, a device with two thin gold leaves vertically
suspended from a common point. When a charged object is brought near the electroscope, the gold leaves
separate, roughly indicating the magnitude of the charge.
Although there are many different versions of the electroscope, all such instruments depend upon the
repulsion of like charges to produce an output or reading. Unfortunately, such devices are relatively
insensitive (large amounts of charge are needed to make the gold leaves separate), and the device does not
have a quantitative reading.
The Charge Sensor is an ‘electronic electroscope’. In addition to providing a quantitative measurement,
the Charge Sensor is more sensitive and indicates polarity directly. Assuming there is no residual charges
and no charge leakage in the experiment, this instrument should provide accurate results. Corrections to 64 Electrostatic Charging Lab
Setup 1. Connect the Charge Sensor to the 850 Interface to any Analog Input available as shown below.
2. Start PASCO Capstone in the computer, and set the “Gain Select Switch” on the Charge Sensor to 5X.
3. Set up hardware by going to the left side menu and selecting Hardware Setup. Make sure the 850 Interface is selected and add the Charge Sensor by clicking on the Add Sensor/Instrument button.
Make sure Charge Sensor is added to the proper Analog Input in the diagram.
4. Set the sample rate to 10 Hz in PASCO Capstone at the lower bottom menu.
5. Drag a graph and meter displays from the Displays menu located at the right side. Set the “y” and “x” axes by left clicking on
and Time (s) for the x-axis.
6. Connect the alligator clips of the sensor’s cable assembly to the inner (longer wire inside – red band) and outer baskets (shorter wire outside – black band) of the Faraday Ice Pail as shown in
the diagram below.
Preparing to Record Data
Before starting any experiment using
the ‘Faraday Ice Pail’, the pail must be
momentarily grounded. To ground the
pail, touch the inner pail and the shield
at the same time with the finger of one
hand as shown in the image to the left.
NOTE: You may need to redo the
grounding and/or zeroing of the Ice Pail
during the experiment. It is very easy to
transfer charge to the ice pail by
touching it or even getting too close to
it with a charged object. It may even
acquire a charge sitting on the table for
a while. To see how sensitive the system is, stick a finger down the axis of the inner cylinder (without
touching the cylinder.) Now rub your fingers through your hair, or on your shirt, or shuffle your shoes on
the floor and try sticking your finger back into the Ice Pail. See any difference? What happens if you
touch the Ice Pail? What’s the moral about where you put your hands during the experiment? Redo the
grounding of the Ice Pail immediately before each procedure.
Procedure Part 1: Determine the Polarity of the Charge Producers
7. Ground the ‘Ice Pail’ and press the ‘ZERO’ button on the Charge Sensor to discharge the sensor. Press Record in Capstone. Then insert, without touching the walls, the white charge producer into
the inner pail then stop recording. Record their values for Question 1. Save the graph. Then repeat
process for the dark charge producer, and then repeat process for both charge producers at the
same time.
8. Briskly rub the black and white Charge Producers together several times.
9. Click ‘Record’ in Capstone to start recording data.
a. Without touching the ‘Ice Pail’, lower the white Charge Producer as close to the bottom of the ‘Ice Pail’ as possible without touching the walls. Watch the Meter and Graph displays.
b. Remove the white Charge Producer and then lower the black Charge Producer into the ‘Ice Pail’. Watch the results. Remove the black Charge Producer. After a few moments, stop
recording data and save the graph.
Part 2: Measure the Charge on the White Charge Producer.
10. Ground the ‘Ice Pail’ and press the ‘ZERO’ button on the Charge Sensor to discharge the sensor.
11. Briskly rub the black and white surfaces of the Charge Producers together several times.
12. Start recording data. Record the zero value on line 1.
a. Lower the white Charge Producer into the bottom of the ‘Ice Pail’. Record this value on line 2.
b. Quickly rub the surface of the white Charge Producer against the inner pail Watch the Meter and Graph displays. Record this value on line 3.
c. Remove the white Charge Producer from the inner pail. Record this value on line 4.
13. After a few moments, stop recording data and save graph.
Measure the Charge on the Dark Charge Producer
14. Ground the ‘Ice Pail’ and press the ‘ZERO’ button on the Charge Sensor to discharge the sensor.
15. Briskly rub the black and white surfaces of the Charge Producers together several times.
16. Start recording data. Record the zero value on line 1.
a. Lower the black Charge Producer into the bottom of the ‘Ice Pail’. Record this value on line 2.
b. Quickly rub the surface of the black Charge Producer against the inner pail Watch the Meter and Graph displays. Record this value on line 3.
c. Remove the Charge Producer from the inner pail. Record this value on line 4.
17. After a few moments, stop recording data and save graph.
Part 3: Charge the ‘Ice Pail’ by Induction
18. Ground the ‘Ice Pail’ and press the ‘ZERO’ button on the Charge Sensor to discharge the sensor.
19. Briskly rub the black and white surfaces of the Charge Producers together several times.
20. Start recording data. Record the zero value on line 1.
a. Without touching the ‘Ice Pail’ with the Charge Producer, lower the white Charge Producer into the bottom of the ‘Ice Pail’. Record this value on line 2.
b. While the white Charge Producer is still inside the inner pail, use the finger of one hand to momentarily ground the ‘Ice Pail’. Watch the results, the charge should go to approximately zero.
Record this value on line 3.
c. After you ground the ‘Ice Pail’, remove your hand and then remove the white Charge Producer.
21. After a few moments, record this value on line 4 and stop recording data. Save graph.
22. Ground the ‘Ice Pail’ and zero the sensor and repeat the procedure using the black Charge Producer and save graph.
Lab Report: Electrostatic Charging Name: ________________________________________________________________ Graphs: Indicate on the graphs each step of the experiment, i.e. charge producers ‘far’ away from experiment;
charge producer inducing current, pail grounded, charge producer in contact with pail, etc. You can
annotate directly on the graph by using the large red A: on the graph display, or physically write on the
graphs once printed out.
Analysis Questions 1. From Part 1, what charge and polarity (what sign) are the two Charge Producers? Where did the
electrons go (or come from)?
2. (Part 1) After the rubbing process, what is the overall net charge of the two wands?
3. (Part 1) What evidence is there that the rubbing gave each wand an electrical charge?
4. (Part 2) After charging by contact, what was the charge of the white charge producer and the basket? Was it
the same polarity?
5. (Part 2) After charging by contact, what was the charge of the dark charge producer and the basket? Was it
the same polarity?
6. (Part 3) After charging by induction, what was the charge of the white charge producer and the basket? Was
it the same polarity?
7. (Part 3) After charging by induction, what was the charge of the dark charge producer and the basket? Was
it the same polarity?
8. How does the process of charging by contact differ from the process of charging by induction?
9. How many electrons are inside of the pail if the pail has a charge of 50 μC?
10. Assuming you have 6.24 x 1014 electrons and the surface area of the pail is 0.2 m2, what is the charge
density (C/m2)?
11. Previously experiments were conducted where two pith balls were used to look at static electricity.
Looking at one pith ball as an example, shown below, show the mathematical proof that in this equation
the sin can be replaced with a tan. (Hint: Small angle approximation.)
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