Laboratory exercises are not just about getting the right result, but about recognizing that fundamental physics principles shape our everyday experiences and underlie many of the devices that we use in our personal and professional lives.  Please do not treat the laboratories as cookbook exercises.  Permit yourself to think!   Thoughtful answers to the questions in blue will give you most of the laboratory credit.

Charges and fields

Static electricity is a well-known phenomenon.  It affects many industries in diverse environments.  Static charge buildup can result in potentially dangerous electrical shocks, which can cause fires, explosions and severe damage to sensitive electronic components.  Static charge buildup can be caused by friction between two surfaces.  This is called triboelectrification.  Electrons migrate from the surface of one material to the surface of the other.  Upon separation of the two surfaces, one surface loses electrons and becomes positively charged.  The other surface gains electrons and becomes negatively charged.

As the pressure and the speed of contact separation increase, the amount of static charge buildup increases.  When materials move rapidly past each other, potential of more than 25,000 volts can develop.

In this laboratory you will separate electric charges.  You will consult the triboelectric sequence to find out which object acquires a positive, and which object acquires a negative charge.  You will also investigate the interaction between the charged objects.

Equipment needed:

• Sticky tape
• Rods and rags
• Styrofoam pieces

Vector fields

If a vector can be assigned to each point in a subset of space, we have a vector field.  One way to graphically represent a vector field in two dimensions is by drawing arrows an a grid.  Set up a grid and find the magnitude and direction of the field vector at every grid point.  At each grid point draw an arrow with the tail anchored at the grid point and a length proportional to the magnitude of the vector in the direction of the field vector.  Most vector fields are three-dimensional.  But if the field has enough symmetry, a two dimensional representation can capture most of the information.

Electric field of a positive point charge at the origin
The electric field exists in 3-dimensional space.  For the arrow representation we choose a plane containing the single point charge. and put the point charge at the origin.  The field has rotational symmetry about the origin.

Note how fast the field strength decreases as a function of the distance from the point charge as a consequence of the 1/r² dependence.  Arrows near the origin are not drawn, because they are too long.  The magnitude of the field approaches infinity as we approach the origin.

Exercise 1: 

Draw arrows to represent the electric field.
Please click on the image below!
 

Charge A can be positive or negative and Charge B can be zero, positive or negative.  Both charges can be placed at different positions on the x-axis.
To produce and arrow pointing in the direction of the electric field with a length proportional to the electric field strength at some position, click the position.
The units of charge are 10 nC, the units of distance are m and the units of field strength are N/C.

• Place a positive charge A at x = -3, y = 0.
  • Produce arrows at various positions.  What can be said about the magnitude of the electric field at points near the charge and far from the charge?  What is the direction of the electric field?  What is the electric field strength in N/C and the direction of the electric field at x = -1, y = 0 and at x = 1, y = 0?
    (Paste a picture of your screen into your word document.)
• Place a second positive charge B at position x = 5, y = 0.
  • What happens to the electric field vector at various positions upon introducing charge B?  What is the electric field strength in N/C and the direction of the electric field at x = 0, y = 0 and at x = 2, y = 0 and at x = 1, y = 2?  Can you explain their magnitude and direction of the electric field at those positions using vector addition of the field vectors of the two individual charges?  (Paste a picture of your screen into your word document.)
• Change the sign of charge B, i.e. replace the positive with a negative charge.  Repeat!

The arrow representation for the electric field produced by more than one source can become quite messy, even in two dimensions.  Since the field strength can change very rapidly and the length of an arrow is proportional to the field strength, many arrows of different length must be drawn, and the arrows start overlapping.

Explore here!

One way around this is to only draw direction indicators (unit vectors).  You then loose the information about the field strength.  Another way to graphically represent a electric field is by drawing field lines.  If the rules for drawing field lines are followed, then the direction of the field at any point is given by the direction of a line tangent to the field line, while the magnitude of the field is given qualitatively by the density of field lines.

Any vector field can be represented by field lines.  In general, field lines can emerge from sources and end in sinks, or they can form closed loops. 
To draw a field line calculate the field at a point. 
Draw a short line segment (Δl --> 0) in the direction of the field. 
Recalculate the field at the end of the line segment. 
Repeat.  (A computer program can do this efficiently.)

Examples:

Velocity field lines or streamlines for a liquid flowing in a pipe.
The density is higher in region 2 where the velocity of the liquid has a greater magnitude.

Field lines of the gravitational field near the surface of Earth.  The lines are evenly spaced since the field is constant.

Electric field lines for a positive (source) and for a negative charge (sink).
The number of lines emerging from or converging at the charge is proportional to the magnitude of the charge.

Exercise 2:  Drawing field lines to represent a field

Download a copy of this word document containing diagrams of several charge configurations.  Paste  the diagrams into your word document.
Draw field lines on the diagrams. 
(In Word, click Review, Start Inking to draw with the mouse or a pen, or click Insert, Shapes and then click the Scribble icon to draw with the mouse.)

Field lines should leave or enter a charge symmetrically, and the number of lines entering or leaving should be proportional to the magnitude of the charge.

Answer the following questions.

• If there is no field line drawn at a particular point, does this mean there is no field at that point?  Explain!

• As you approach a field line, does the field get stronger?  Explain!

• Is it possible for two field lines to cross each other?  Explain!

Experiment

Obtain a piece of sticky tape, about 15 - 20 cm in length.  For ease in handling, make "handles" by folding each end of tape to form portions that are not sticky.  Press the tape firmly onto a smooth, unpainted surface, for example, onto a textbook or onto the table.  Then quickly peel the tape off the surface and hang it from a support.

Describe the behavior of the tape as you bring objects, such as a finger or a pen, towards it.

Make another piece of tape as described above.  Bring the second tape toward the first tape with the non-sticky sides facing each other.  Describe your observations.  It is important, that during this experiment you keep your hands and other objects away from the tapes.

Explain why this precaution is necessary.  Describe how the distance between the tapes affects the interaction between them?

Press two pieces of tape onto the surface and write a B (for bottom) on them.  Then press another tape on top of each B tape and label it T (for top).  Pull each pair of tapes off the surface as a unit.  After they are off the surface, separate the T and B tapes.  Hang one of the T tapes and one of the B tapes from a support. 

Describe the interaction between the following pairs of tape when they are brought near one another.

• Two T tapes
• Two B tapes
• One T and one B tape

Our electrostatic materials kits contain rods and rags made from different materials.  Consult the table of triboelectric materials below.

The items on top are less attractive to electrons and become positively charged when rubbed against items below, while the items on the bottom are more attractive to electrons and become negatively charged when rubbed against items above.

• Human Skin (usually too moist though) (very positive)
• Rabbit Fur
• Glass
• Human Hair
• Nylon
• Wool
• Fur
• Lead
• Silk
• Aluminum
• Paper
• Cotton
• Steel (neutral)
• Wood
• Lucite
• Amber
• Hard Rubber
• Nickel, Copper
• Brass, Silver
• Gold, Platinum
• Polyester
• Styrene (Styrofoam)
• Saran Wrap
• Polyurethane
• Polyethylene (like scotch tape)
• Polypropylene
• Vinyl (PVC)
• Silicon
• Teflon (very negative)

Choose a rod and a rag, for example a PVC rod and wool rag or a Lucite rod and a vinyl rag.  Rub the rod vigorously with the rag and then hold the rod near newly-made T and B tapes hanging from a support.  Compare the interactions of the rod with the tapes to the previously observed interactions between the tapes. 

Describe any similarities or differences.

The rod and the tapes interact, because they are electrically charged.

Answer the following questions based on the observations you have made thus far.

• How many different types of charge do there appear to be?  Explain.
• Which tape, T or B, has a positive charge?  Explain how you come to this conclusion.

Now remove all tape from the support.  Attach a small piece of Styrofoam to approximately 30 cm of insulating string and hang it from a support.  Touch the Styrofoam piece to a charged rod and observe the behavior of the piece after it touches the rod. 

Is the piece charged?  If so, does the piece have net charge with the same sign the rod?  Explain how you can tell.

Exercise 3:

The figure below shows two tapes.

What kind of charge could be on tape 1 and tape 2?  Explain!

Review polarization.  Imagine the following situation.  Two metal balls are touching each other.  A charged rod is brought near the left one.  While the rod is near, the right ball is taken away.  Finally the rod is taken away.  At the end of this procedure, the left-hand metal ball has a negative charge.

Describe what you think is happening.  Why is the left ball negatively charged at the end of the procedure?  Explain!

Convert your log into a lab report.  See the grading scheme for all lab reports.

Name:
E-mail address:

Laboratory 1 Report

• In one or two sentences, state the goal of this lab.
• Make sure you completed the entire lab and answered all parts.  Make sure you show your work and inserted and properly labeled relevant tables and plots.
• Add a reflection at the end of your report in a short essay format.

Save your Word document (your name_lab1.docx), go to Canvas, Assignments, Lab 1, and submit your document.