Electrostatics - Key Vocabulary Term Definition Proton Positively charged particle found with neutrons in the nucleus of an atom. Electron A low mass particle with a negative charge that occupies the energy levels in an atom outside the nucleus; electrons are involved in chemical bonds and reactions. Neutron Electrically Neutral Static Electricity Law of Electrostatics Charging by: • Conduction • Induction • Friction Polarization Coulomb’s Law An uncharged/neutral charge particle found in the nucleus of an atom; one of three particles in normal atoms, along with protons and electrons. Where an object has the same number of protons and electrons thus has a net charge of zero. A buildup of either positive or negative charge; consists of isolated motionless charges, like those produced by friction. Like charges repel and unlike charges attract. Charging an object by direct contact. Charging an object by bringing a charged object close to a neutral object. Charging by rubbing two objects together. The rearranging of charges. The formula that states the force between two electric charges is proportional to the product of the two charges divided by the square of the distance between them. The Atom The atom is made of three basic subatomic particles. Proton – has a positive charge. It is in the nucleus of the atom. Neutron – has a neutral charge. It is in the nucleus of the atom. Electron – has a negative charge. It orbits around the outside of the atom. Like charges repel --------- so a positive and a positive charge repel. Unlike charges attract --------- so a positive and a negative charge attract. Charge of Protons and Electrons The unit of charge is the Coulomb. Charles Augustin de Coulomb (1736-1806) A French physicist who performed the first accurate measurements of the force between charges. A single proton has a charge of: 1.6 x 10-19 C An electron has a charge of an electron: - 1.6 x 10-19 C Charge of an Object The charge of an atom is neutral. There are equal number of protons & electrons which provides a perfect cancellation between positive and negative in matter leaving a net charge of zero. It is then electrically neutral. Draw another example below of an electrically neutral object. Charged Object An object is charged when its net charge is not zero. An object with more negative than positive charge has a net negative charge overall and more positive than negative charge; the object has a positive net charge. Draw another example below of (A) A negatively charged object. (B) A positively charged object. +4 -12 -8 +10 -6 +4 Family Guy Think-Pair-Share “the results may shock you” Directions You will be divided into different groups, A – E, and your group will be responsible for answering one of the following questions and presenting your answer to the class. Watch the following video, then answer the questions below: Questions A. How does Peter become electrically charged? What evidence suggests he is picking up charge? Sketch the charges on Peter’s picture below. B. How does Peter get rid of the charge he picks up? What evidence illustrates that excess charge leaves his body? Sketch the charge leaving his body below. C. Why does Peter rub his feet against the carpet? Would he produce the same results if instead he rubbed his feet against a wood floor? Why or why not? D. Does Peter actually have to touch another person or object to get “rid” of the charge on his body? Why or why not? Sketch below. E. What do you think would happen if Peter were to rub his feet against the carpet for a longer amount of time? Develop a relationship between “rubbing” and “amount of time.” FRICTION: GETTING RUBBED THE RIGHT WAY The frictional charging process results in a transfer of electrons between the two objects that are rubbed together. Rubber has a much greater attraction for electrons than animal fur. As a result, the atoms of rubber pull electrons from the atoms of animal fur, leaving both objects with an imbalance of charge. The rubber balloon has an excess of electrons and the animal fur has a shortage of electrons. Having an excess of electrons, the rubber balloon is charged negatively. Similarly, the shortage of electrons on the animal fur leaves it with a positive charge. The two objects have become charged with opposite types of charges as a result of the transfer of electrons from the least electron-loving material to the most electron-loving material. Frictional charging is often demonstrated in Physics class. Two rubber balloons can be suspended from the ceiling and hung at approximately head height. When rubbed upon a teacher's head, the balloons became charged as electrons are transferred from the teacher's fur to the balloons. Since the teacher's fur lost electrons, it became positively charged and the subsequent attraction between the two rubbed objects could be observed. Of course, when the teacher pulls away from the balloons, the balloons experienced a repulsive interaction for each other. 5|Page Activity – Charging by Friction Materials: plastic tube, paper bits, styrofoam coffee cup, wool or synthetic fur Purpose: The purpose of this activity is to study how different objects interact with each other. If an object is charged, will it attract or repel an object? Part A: Electrical Interactions 1) Tear part of a piece of paper into small bits. Take the plastic tube and bring it close to the bits of paper. Can you lift the bits of paper by touching them with the straw? 2) Now rub the plastic tube briskly with fur or wool or against your hair and try to lift the bits of paper from the table. Can the scraps of paper be lifted even if you do not allow the rubbed plastic tube to touch them first? 3) Apparently, after the plastic tube has been rubbed there is an interaction between the tube and paper which is capable of lifting the scraps of paper. DEFINITION: The force involved in this interaction is called an electrical force, and was first observed by the Greeks, who found that pieces of amber (in Greek, elektron) attracted other things after being rubbed with fur. Materials which are capable of attracting the bits of paper are said to be electrically charged. 4) Are the bits of paper charged according to the definition given in #3? 5) Devise and perform an mini-experiment to determine whether the paper is charged. Describe the procedure of your mini-experiment. 6|Page CONDUCTION: CHARGE-SHARING When objects having different charges touch, conduction may occur. Conduction is the transfer of electric charge by direct contact. As you might suspect, conduction works much better between conductors than it does between insulators. Consider the following examples involving conductors that are identical except for their charge. To explain the process of charging by contact, we will first consider the case of using a negatively charged metal sphere to charge a neutral needle electroscope. Understanding the process demands that you understand that like charges repel and have an intense desire to reduce their repulsions by spreading about as far as possible. A negatively charged metal sphere has an excess of electrons; those electrons find each other repulsive and distance themselves from each other as far as possible. The perimeter the sphere is the extreme to which they can go. If there was ever a conducting pathway to a more spacious piece of real estate, one could be sure that the electrons would be on that pathway to the greener grass beyond. In human terms, electrons living in the same home despise each other and are always seeking a home of their own or at least a home with more rooms. Given this understanding of electron-electron repulsions, it is not difficult to predict what excess electrons on the metal sphere would be inclined to do if the sphere were touched to the neutral electroscope. Once the contact of the sphere to the electroscope is made, a countless number of excess electrons from the sphere move onto the electroscope and spread about the sphere-electroscope system. In general, the object that offers the most space in which to "hang out" will be the object that houses the greatest number of excess electrons. When the process of charging by conduction is complete, the electroscope acquires an excess negative charge due to the movement of electrons onto it from the metal sphere. The metal sphere is still charged negatively, only it has less excess negative charge than it had prior to the conduction charging process. Before After Net charge (VDG): Net charge (VDG): Net charge (fur): Net charge (fur): 7|Page Thinking About What You Observed 1. A neutral metal sphere is touched by a negatively charged metal rod. As a result, the sphere will be negative and the metal rod will be neutral. Select the two answers in their respective order. a. positively charged b. negatively charged c. neutral d. much more massive 2. A neutral metal sphere is touched by a negatively charged metal rod. During the process, electrons are transferred from the _____ to the _____ and the sphere acquires a _____ charge. a. neutral sphere, charged rod, negative positive c. charged rod, neutral sphere, negative positive b. neutral sphere, charged rod, d. charged rod, neutral sphere, 8|Page INDUCTION: SAFE CHARGING It is possible to use one charged object to charge another object without the two ever coming into direct contact. Charging by induction is a method of using one object to charge another without changing the net charge on the first. Consider the following sequence. • A negatively charged object (conductor or insulator) is brought near a neutral object (preferably a conductor). When a charged object loses its charge, we say it has been neutralized. An object can be neutralized if it is allowed to conduct its charge to something much larger than itself. This process is called grounding because the larger object is often the earth. (In Great Britain, it’s called earthing.) Before After Net charge (VDG): Net charge (VDG): Net charge (ball): Net charge (ball): 9|Page Polarization In general terms, polarization means to separate into opposites. In the political world, we often observe that a collection of people becomes polarized over some issue. For instance, we might say that the United States has become polarized over the issue of the death penalty. That is, the citizens of the United States have been separated into opposites - those who are for the death penalty and those who are against the death penalty. In the context of electricity, polarization is the process of separating opposite charges within an object. The positive charge becomes separated from the negative charge. By inducing the movement of electrons within an object, one side of the object is left with an excess of positive charge and the other side of the object is left with an excess of negative charge. Charge becomes separated into opposites. The polarization process always involves the use of a charged object to induce electron movement or electron rearrangement. In the above diagram and accompanying discussion, electrons within a conducting object were induced into moving from the left side of the conducting can to the right side of the can. Being a conductor, electrons were capable of moving from atom to atom across the entire surface of the conductor. A common demonstration performed in class involved bringing a negatively charged balloon near a wooden door or wooden cabinet. The molecules of wood will reorient themselves in such a way as to place their positive charges towards the negatively charged balloon. The distortion of their electron clouds will result in an alignment of the wood molecules in a manner that makes the wooden cabinet attracted to the negatively charged balloon. In human terms, one might say that the wood does some quick grooming and then places its most attractive side towards the balloon and its most repulsive side away from the balloon. In the world of static electricity, closeness counts. The negative balloon is closer to the positive portion of the wood molecules and further from the more repulsive negative portion. The balloon and the wall attract with sufficient force to cause the balloon to stick to the wall. Charged rubber rods are placed near a neutral conducting sphere, causing a redistribution of charge on the spheres. Which of the diagrams below depict the proper distribution of charge on the spheres? List all that apply. 10 | P a g e In the above situation, the conducting sphere is ____. List all that apply. a. charged b. uncharged (neutral) c. polarized Which of the diagrams below best represents the charge distribution on a metal sphere when a positively charged plastic tube is placed nearby? 11 | P a g e Notes – Coulomb’s Law Electrical force also has a magnitude or strength. Like most types of forces, there are a variety of factors which influence the magnitude of the electrical force. Two like-charged balloons will repel each other and the strength of their repulsive force can be altered by changing three variables. 1. Charge 2. Charge 3. Distance First, the quantity of charge on one of the balloons will affect the strength of the repulsive force. The more charged a balloon is, the greater the repulsive force. Second, the quantity of charge on the second balloon will affect the strength of the repulsive force. Gently rub two balloons on top of your head and they repel a little. Rub the two balloons vigorously to impart more charge to both of them, and they repel a lot. Finally, the distance between the two balloons will have a significant and noticeable affect upon the repulsive force. The electrical force is strongest when the balloons are closest together. Decreasing the separation distance increases the force. The magnitude of the force and the distance between the two balloons is said to be inversely related. The quantitative expression for the affect of these three variables on electric force is known as Coulomb's law. Coulomb's law states that the electrical force between two charged objects is directly proportional to the product of the quantity of charge on the objects and inversely proportional to the square of the separation distance between the two objects. In equation form, Coulomb's law can be stated as q1= quantity of charge on object 1 q2= quantity of charge on object 2 d= distance between both objects k=9.0 x 109 N • m2 / C2 12 | P a g e •Force is inversely proportional to the square of the distance between the charges. Therefore, if the distance increases by a factor of 2, the force decreases by a factor of 4. • Force is proportional to the strength of each charge. • When the two charges have the same sign (positive or negative), the force between them is repulsive because like charges repel. • When the charges have opposite signs, the force between them is attractive because unlike charges attract. Think about it . . . We know that like charges repel. So if we have two positive charges or two negative charges they will repel one another. The product of both values is a positive number for force. (+) indicates repulsion. We also know that opposites attract so if we have two unlike charges they will attract one another. The product of both values is a negative number for force. (-) indicates an attractive force. 13 | P a g e Coulomb’s Law Practice Problems 1. What happens to the force between two charges if the distance between them is tripled? 𝐹 = 𝑘 𝑞1 𝑞2 𝑞1 𝑞2 𝑞1 𝑞2 1 = 𝑘 = 𝑘 = 𝐹 𝑟2 (3𝑟)2 9𝑟 2 9 2. What happens to the force between two charges if the distance between them is quadrupled? 𝐹 = 𝑘 𝑞1 𝑞2 𝑞1 𝑞2 1 𝑞1 𝑞2 = 𝑘 = 𝑘 = 𝐹 2 2 2 𝑟 (4𝑟) 16𝑟 16 𝐹 = 𝑘 𝑞1 𝑞2 𝑞1 𝑞2 𝑞1 𝑞2 = 𝑘 = 𝑘 = 4𝐹 1 1 2 𝑟2 (2 𝑟)2 𝑟 4 3. What happens to the force between two charges if the distance between them is cut in half? (𝑁𝑜𝑡𝑒: 4 𝑓𝑙𝑖𝑝𝑠 𝑡𝑜 𝑡𝑜𝑝) 4. What happens to the force between two charges if the magnitude of one charge is doubled? 𝐹 = 𝑘 𝑞1 𝑞2 (2𝑞1 )𝑞2 2𝑞1 𝑞2 = 𝑘 = 𝑘 2 = 2𝐹 2 2 𝑟 𝑟 𝑟 5. What happens to the force between two charges is the magnitude of both charges is doubled? 𝐹 = 𝑘 𝑞1 𝑞2 (2𝑞1 )(2𝑞2 ) (2𝑞1 )(2𝑞2 ) = 𝑘 = 𝑘 = 4𝐹 2 2 𝑟 𝑟2 𝑟 6. What happens to the force between two charges if the magnitude of both charges is doubled and the distance between them is doubled? 𝐹 = 𝑘 𝑞1 𝑞2 (2𝑞1 )(2𝑞2 ) (2𝑞1 )(2𝑞2 ) 4 = 𝑘 = 𝑘 = =1𝐹 𝑟2 (2𝑟)2 4𝑟 2 4 7. What happens to the force between two charges if the magnitude of both charges is doubled and the distance between them is cut in half? 𝐹 = 𝑘 𝑞1 𝑞2 (2𝑞1 )(2𝑞2 ) (2𝑞1 )(2𝑞2 ) 4𝑥4 = 𝑘 = 𝑘 = = 16 𝐹 1 1 2 𝑟2 1 (2 𝑟)2 𝑟 4 (𝑁𝑜𝑡𝑒: 4 𝑓𝑙𝑖𝑝𝑠 𝑡𝑜 𝑡𝑜𝑝) 14 | P a g e Name ______________________________________________ Date _________ Period ______ Balloons and Static Electricity Research Question After reading the lab, create your own research question below then formulate a hypothesis to your research question: ______________________________________________________________________________ ______________________________________________________________________________ Pre-Lab Discussion As you are most likely aware, charge can be described as either positive or negative. When + or – charges are present in equal amounts, the object is considered electrically neutral. Large numbers of negative particles (electrons) can be transferred in certain circumstances from one neutral surface to another. This generates an excess of + charges on one object and – charges on the other. The following simulation illustrates the movement of both + and – charges and the resulting attractive and repulsive forces. Procedure Using the Site • Access the site by either clicking on the link: http://phet.colorado.edu/en/simulation/balloons or by following: • Once your application has started, click “Reset All”. Make sure that only the “Show all charges” and “Wall” buttons are selected. Part 1 – One Balloon and Sweater 1. Look at the balloon. What can you say about its overall charge? (Hint: count both types of charges) 2. Click and drag the balloon and rub it against the sweater. Describe and sketch what happens to the balloon? 3. How did the balloon get charged, with what type of charge? What process gave the balloon this charge? 4. What happened to the sweater? How did it get charged? looks like. Sketch what the sweater 15 | P a g e 5. Bring the balloon in the middle, between the sweater and the wall. What happens to the balloon when you let it go? Explain why. Sketch the sweater, balloon and wall (sketch the charges on each and the direction the balloon moves) Part 2 – One Balloon and Wall 6. What is the overall charge of the wall? 7. Predict what you think will happen when the balloon is brought close to the wall? 8. Bring the balloon in contact with the wall. What happens to the charges in the wall? Explain and sketch this process. 9. Let go of the balloon. What happens? Explain why. Part 3 – Two Balloons 10. Click the “Reset All” button. Select “Show all charges”, “Wall” and “Two balloons”. What can you tell about the overall charge of all the objects in your simulation window? 11. Select “Show charge differences”. Rub each balloon against the sweater. What happens to each one of them? Sketch this. 12. Why are the two balloons stuck on the sweater? 13. Try to get one balloon off the sweater by using the other balloon. Can you do it? If yes, explain why this is possible. Questions Based on your observations, attempt to explain why you sometimes see flashes of light when removing a fleece jacket in a dark room. 16 | P a g e Rubric – Balloons & Static Electricity Physics Heading (1 pt.) Research Question (2 pts.) Hypothesis (5 points) Sketch & Description (2 pts.) Procedure Question (15 pts.) Total = Student labels the date in the upper left hand corner and title of lab in all CAPS in lab notebook. Student generates a research question after reading the pre-lab discussion. Student states hypothesis and explains their prediction. Student sketches materials used in lab and a description of what they did. Student answers all questions accurately and in complete sentences making sketches where necessary. /25 points 17 | P a g e John Travoltage Physics Purpose To determine the likelihood of getting a “carpet shock” (based on controllable variables), and to avoid or produce such shocks under a series of challenging conditions Apparatus computer PhET simulation, “John Travoltage” (available at http://phet.colorado.edu) Discussion When you walk across a carpet and touch a metal doorknob, you might feel a small shock. The friction between the different materials in your footware and the carpet gives you a static charge. (Physicists call it a triboelectric charge, meaning a charge from frictional contact.) The metal doorknob is a conductor, so the excess charge on your body jumps to the knob rapidly, creating the spark. Your nerves are sensitive to electrical impulses, so you feel the shock. In the simulation, John Travoltage’s foot can be rubbed across a carpet so that his body collects charge. His arm can be rotated so that a spark will jump from his finger to the doorknob. Procedure Step 1: Start the computer and allow it to complete its startup process. Step 2: Launch the PhET simulation, “John Travoltage.” If you need assistance, ask your instructor for help. Go to http://phet.colorado.edu/en/simulation/travoltage and click “Run Now.” Step 3: Rub John Travoltage’s foot back and forth against the carpet until a spark jumps from his finger to the doorknob. How does John Travoltage react when the spark jumps? (hint: turn the volume up) Is there anything he says? ____________________________________________________________________________________ ____________________________________________________________________________________ Step 4: Explore the simulation. a. Move John Travoltage’s hand close to the doorknob, then rub his foot on the carpet again. Compared to the process you observed in Step 3, what happens differently this time? ____________________________________________________________________________________ ____________________________________________________________________________________ b. How can you get the maximum charge built up on John Travoltage without producing a spark? Describe what you need to do with John’s foot. ____________________________________________________________________________________ ____________________________________________________________________________________ 18 | P a g e c. Under what circumstances—if any—will a spark jump from John Travoltage’s foot to the doorknob? Why do you suppose this is (in terms of the physics involved)? (Hint: think about what John is wearing on his foot and what would prevent the charge from moving from his foot to the doorknob.) ____________________________________________________________________________________ ____________________________________________________________________________________ Step 5: Meet the challenges. a. Rotate John Travoltage’s arm so that his finger is pointing directly at the doorknob. Carefully rub his foot against the carpet without producing a spark. What is the greatest number of charges you can get onto John Travoltage’s body? (Estimate how many small spherical charges can be collected on his body before a discharge occurs?) ____________________________________________________________________________________ ____________________________________________________________________________________ b. Produce the longest spark possible: the spark is between John’s hand pointing directly away from the knob and the doorknob, itself. (Hint: The correct procedure requires less than a minute to complete.) Describe what you did? ____________________________________________________________________________________ ____________________________________________________________________________________ Summing Up 1. Under which conditions is a spark most likely to jump between John Travoltage and the doorknob? Describe in terms of the amount of charge on his body and the distance between his hand and the doorknob. ____________________________________________________________________________________ ____________________________________________________________________________________ 2. Consider two variable quantities: the amount of charge Q on John Travoltage’s body and the distance d from his finger to the doorknob. What can you conclude about the amount of charge and the likelihood of a spark jumping? (ie as you increase the amount of charge does that increase or decrease the likelihood of a spark jumping?) ____________________________________________________________________________________ ____________________________________________________________________________________ What can you conclude about the distance John’s finger is from the doorknob and the likelihood of a spark jumping? (ie as you increase the distance from the doorknob does this increase or decrease the likelihood of a spark jumping?) ____________________________________________________________________________________ ____________________________________________________________________________________ 3. When John Travoltage’s hand is turned away from the knob, no spark will start. But in Step 5, you sustained a spark from that configuration. What does this say about the conductivity of air? (in other words does air conduct electricity?) ____________________________________________________________________________________ ____________________________________________________________________________________ 19 | P a g e