Basic Electricity. Science in Action Series, Number
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Electrostatics of Two Suspended Spheres (Eletrost´Atica De Duas Esferas Suspensas)
Revista Brasileira de Ensino de F´ısica, v. 34, n. 3, 3308 (2012) www.sbfisica.org.br Electrostatics of two suspended spheres (Eletrost´atica de duas esferas suspensas) Fernando Fuzinatto Dall'Agnol1, Victor P. Mammana and Daniel den Engelsen Centro de Tecnologia da Informa¸c~aoRenato Archer, Campinas, SP, Brasil Recebido em 25/2/2011; Aceito em 6/2/2012; Publicado em 21/11/2012 Although the working principle of a traditional electroscope with thin metal deflection foils is simple, one needs numerical methods to calculate its foil's deflection. If the electroscope is made of hanging spheres instead of foils, then it is possible to obtain an analytical solution. Since the separation of the charged spheres is of the order of their radius the spheres cannot be described as point charges. We apply the method of image charges to find the electrostatic force between the spheres and then we relate the voltage applied to their separation. We also discuss the similarity with the sphere-plane electrostatic problem. This approach can be used as an analytical solution for practical problems in the field of electrodynamics and its complexity is compatible with undergraduate courses. Keywords: electroscope, electrometer, method of image, image charge, electrostatic, sphere-sphere. Apesar da simplicidade do princ´ıpiode funcionamento do eletrosc´opiotradicional feito de folhas met´alicas finas, ´enecess´ariom´etodos num´ericospara calcular a deflex˜aodas folhas. Se o eletrosc´opiofor feito de esferas penduradas ao inv´esde folhas, ent~ao´eposs´ıvel obter uma solu¸c~aoanal´ıtica. Como a deflex˜aodas esferas car- regadas ´eda ordem dos seus raios, as esferas n~aopodem ser descritas como cargas pontuais. -
Lab 1 Electrostatics
Electrostatics Goal: To make observations of electrostatic phenomena and interpret the phenomena in terms of the behavior of electric charges. Lab Preparation Most of what you will see in this lab can be explained simply by the following: Like charges repel and unlike charges attract. These repelling and attracting forces that occur can be found using Coulomb’s law, which is stated as !! !! � = � !! where F is the electrostatic force, k is the Coulomb constant (8.99 x 109 Nm2/C2), q1 and q2 are the charges the objects carry, and r is how far apart the objects are. A neutral atom of a substance contains equal amounts of positive and negative charge. The positive charge resides in the nucleus, where each proton carries a charge of +1.602 x 10-19 C. The negative charge is provided by an equal number of electrons associated with and surrounding the nucleus, each carrying a charge of -1.602 x 10-19 C. Macroscopically sized samples of everyday materials usually contain very nearly equal numbers of positive and negative charges. When some dissimilar materials are rubbed together, some charges are transferred from one material to the other leaving each object with a small net charge. For example, when a glass rod is rubbed with silk, the rod usually ends up with a positive charge and the silk ends up with a negative charge. Materials can be cast into two electrical categories: insulators and conductors. The atomic or molecular structure of the material determines whether some charges are free to move (a conductor, such as metallic materials) or largely fixed in place (an insulator). -
Electric Charges Observations Observations
Welcome to PY106 Setting the Channel Number for Your Clicker -The syllabus is your guide to this course. It contains information about the discussions, labs., the class, lab. and 1. Press and release the “CH” button. exam. schedules and grading scheme, etc. 2. While the light is flashing red and green, enter the two digit - Discussion sessions begin today! channel code “41” for this class. - Labs. begin on Jan. 28. 3. After the second digit is entered, press and release the - Assignment 1 is a hand-in, and will be posted on Blackboard “CH” button. The light should flash green to confirm. soon. It is due on Tuesday (Jan. 28) 10:00pm. 4. Press and release the “1/A” button. The light should flash - Most other assignments are posted on WebAssign. To amber ONCE to confirm. If it flashes continuously, there is access the assignment, you need to acquire an access code probably an error and you should try it again. from WebAssign. Instructions for WebAssign can be found in the syllabus. - Lecture notes can be downloaded from http://physics.bu.edu/~okctsui/PY106.html. Note that the URL is case sensitive. 1 2 Electric charges There are two kinds of electric charge, positive and negative. Objects are generally charged by either acquiring extra electrons (a net negative charge), or giving up electrons (a net positive charge). Electric Charge Forces between charged objects can be very large. Such forces are really what stop us from falling through the floor. In other words, what we called the normal force is really associated with repulsive forces between electrons. -
A Vacuum Electrostatic Generator
1465 A VACUUM ELECTROSTATIC GENERATOR B.H. Choi, H.D. Kang, W. Kim, B.H. Oh, Korea Advanced Energy Research Institute Daeduk-Danji, Choongnam, 301-353, Korea and K.H. Chung Seoul National University Shinrim-Dong, Kwanak-Ku, Seoul, 151-741, Korea Abstract insulator supports the breakdown strength is limited to about 30 kV/cm due to the flashover phenomena on A compact electrostatic generator designed with the insulator surface. the principle of vacuum insulation has been developed. The concept of vacuum insulation instead of gas It consists of a rotating insulation disk with charge- insulation for the electrostatic generator design has carrying conductors placed around the circumference some advantages, such as the capability to hold the n n ti a non-contact induction system with R” electron high voltage in narrow inductor gap, elimination cf gun. The usable voltage of 130 kV with the generating the electrical cant acr problem by utilizing the current of about 300 pA has been obtained at the oper- non-contact induction method, posstbility of fice ational pressure of 1x10-’ torr. regulation of high voltage, and reduction cf frictional wind loss and the mechanical vibration. In Introduction addition, elimination of gas handling system may enhance the compactness and the flexibilities for the The recent progress of research and industrial accelerator system. The characteristics and the applications of ion beams require very stable beams operational performance of this vacuum electrostatic with the high energy of around 1 MeV and the current generator have been described in this paper. of a few mA. A candidate of high voltage sources to produce Experimental Apparatus mono-energetic beams is electrostatic generator, which has superior features such as small voltage ripple and The schematic drawins of the vacuum electrostatic small stored energy in the state of ultra high generator is shown in Fig. -
Physics 42 Lab: Static Electricity
Physics 42 Lab: Static Electricity Charge can neither be created nor destroyed: it can only be moved around! The purpose of the lab is to play with static electricity by moving charge around. You will charge objects by friction, induction and polarization and determine the charge with an electroscope. You will draw cute pictures showing each step and how the charges distribute to result in a final charge. The following cartoon sketch is an example of showing how a metallic sphere is charged by induction using a ground. This is the type of sketch you will draw today for each activity, describing what is happening for each step and summarizing your results. I will grade your lab based on neatness and clear explanations! Sample: Charging a metal sphere by induction using a negatively charged rod (a) A neutral metallic sphere, with equal numbers of positive and negative charges. (b) The electrons on the neutral sphere are redistributed when a charged negatively charge rubber rod is placed near the sphere. (c) When the sphere is grounded, some of its electrons leave through the ground wire. (d) When the ground connection is removed while leaving the rod close to the sphere, the sphere has excess positive charge that is nonuniformly distributed. (e) When the rod is removed, the remaining electrons redistribute uniformly and there is a net uniform distribution of positive charge on the sphere. Summary: Charging a neutral metal sphere by induction using a negative rod results in a positive charged sphere! **************************************************************************************** -
Basic Electrostatics System Model No
Instruction Manual Manual No. 012-07227E *012-07227* Basic Electrostatics System Model No. ES-9080 Basic Electrostatics System Model No. ES-9080 Table of Contents Equipment List........................................................... 3 Introduction .......................................................... 4-5 Equipment Description .............................................. 5-11 Electrometer...................................................................................................................................5 Electrostatics Voltage Source ........................................................................................................6 Variable Capacitor .........................................................................................................................7 Charge Producers and Proof Plane............................................................................................. 7-8 Proof Plane................................................................................................................................. 8-9 Faraday Ice Pail............................................................................................................................10 Conductive Spheres......................................................................................................................11 Resistor-Capacitor Network Accessory.......................................................................................11 Electrometer Operation and Setup Requirements................12-13 -
01. Franklin Intro 9/04
Franklin and Electrostatics- Ben Franklin as my Lab Partner A Workshop on Franklin’s Experiments in Electrostatics Developed at the Wright Center for Innovative Science Teaching Tufts University Medford MA 02155 by Robert A. Morse, Ph.D. ©2004 Sept 2004 Benjamin Franklin observing his lightning alarm. Described in Section VII. Engraving after the painting by Mason Chamberlin, R. A. Reproduced from Bigelow, 1904 Vol. VII Franklin and Electrostatics version 1.3 ©2004 Robert A. Morse Wright Center for Science Teaching, Tufts University Section I- page 1 Copyright and reproduction Copyright 2004 by Robert A. Morse, Wright Center for Science Education, Tufts University, Medford, MA. Quotes from Franklin and others are in the public domain, as are images labeled public domain. These materials may be reproduced freely for educational and individual use and extracts may be used with acknowledgement and a copy of this notice.These materials may not be reproduced for commercial use or otherwise sold without permission from the copyright holder. The materials are available on the Wright Center website at www.tufts.edu/as/wright_center/ Acknowledgements Rodney LaBrecque, then at Milton Academy, wrote a set of laboratory activities on Benjamin Franklin’s experiments, which was published as an appendix to my 1992 book, Teaching about Electrostatics, and I thank him for directing my attention to Franklin’s writing and the possibility of using his experiments in teaching. I would like to thank the Fondation H. Dudley Wright and the Wright Center for Innovative Science Teaching at Tufts University for the fellowship support and facilities that made this work possible. -
Electrostatics Lab Introductory Physics Lab Summer 2018
Washington University in St. Louis Electrostatics Lab Introductory Physics Lab Summer 2018 Electrostatics: The Shocking Truth STOP Important health warning for students with pacemakers or other electronic medical devices: This lab involves the use of a Van de Graaff generator, which produces small amounts of electrical charge. They are regularly used in elementary schools, high schools, colleges, and science centers. They pose no risk to health or safety, except to students with pacemakers or other electronic medical devices. If you use a pacemaker or other electronic medical device, please contact the Lab Manager, Merita Haxhia at [email protected], IMMEDIATELY to make other arrangements for lab. It is very unlikely that you will be affected, but safety is our top priority. As long as you do not have this type of medical device, you have absolutely nothing to worry about. However, it is not recommended that you bring sensitive electronic equipment to this experiment. Pre-Lab: The Van de Graaff Generator A Bit of History The Van de Graaff generator is an electrostatic generator, capable of producing constant electric potential differences reaching about 10 million volts. The model that you will use (thankfully) only achieves about 1% of that. The term Van de Graaff electrostatic generator may sound a little foreign, but there is one electrostatic generator that you are no doubt familiar with: earth’s atmosphere. In fact, some of the most famous experiments in the history of electrostatics were done using the atmosphere. In May of 1752, Benjamin Franklin performed his well-known kite experiment, an experiment which strongly suggested that lightning might not be so different from the sparks he produced using silk and glass. -
Electrowetting Using a Microfluidic Kelvin Water Dropper
micromachines Article Electrowetting Using a Microfluidic Kelvin Water Dropper Elias Yazdanshenas 1, Qiang Tang 1,2 and Xiaoyu Zhang 1,* 1 Department of Mechanical & Aerospace Engineering, Old Dominion University, Norfolk, VA 23529, USA; [email protected] (E.Y.); [email protected] (Q.T.) 2 State Key Lab of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics & Astronautics, Nanjing, Jiangsu 210016, China * Correspondence: [email protected]; Tel.: +1-757-683-4913 Received: 16 December 2017; Accepted: 22 February 2018; Published: 25 February 2018 Abstract: The Kelvin water dropper is an electrostatic generator that can generate high voltage electricity through water dripping. A conventional Kelvin water dropper converts the gravitational potential energy of water into electricity. Due to its low current output, Kelvin water droppers can only be used in limited cases that demand high voltage. In the present study, microfluidic Kelvin water droppers (MKWDs) were built in house to demonstrate a low-cost but accurately controlled miniature device for high voltage generation. The performance of the MKWDs was characterized using different channel diameters and flow rates. The best performed MKWD was then used to conduct experiments of the electrowetting of liquid on dielectric surfaces. Electrowetting is a process that has been widely used in manipulating the wetting properties of a surface using an external electric field. Usually electrowetting requires an expensive DC power supply that outputs high voltage. However, in this research, it was demonstrated that electrowetting can be conducted by simply using an MKWD. Additionally, an analytic model was developed to simulate the electrowetting process. Finally, the model’s ability to well predict the liquid deformation during electrowetting using MKWDs was validated. -
Experiment Using Electrostatic Motor
Experiment Using Electrostatic Motor 1. Learning Outcome In this sub-unit, we will perform experiment related to the attractive and repulsive forces of static electricity (Coulomb force) using the Electrostatic Motor (Franklin Motor) and Static Genecon. As the typical principle of static electricity, we will confirm the phenomena of electrostatic induction, attractive and repulsive forces. Let’s start our experiment for the sake of analyzing this phenomenon. 2. Historical Background In this sub-unit, we use an Electrostatic Motor, namely Franklin Motor, which was first invented by Benjamin Franklin and Andrew Gordon between 1740s and 1750s. Electrostatic Motor is based on the principles of electrostatic induction, attractive and repulsive force. Electrostatic Motor feature is operation with high voltage and low current. On the contrary, other types of (normal) motors can be operated with low voltage and large current, because their principle is electromagnetic induction. 3. Electrostatic Generator: “Static Genecon” We already know that if we rub piece of plastic with felt or different kind of cloth then static electricity will be generated. And we have in various ways confirmed properties of above mentioned way of generating static electricity. As a result, we have learned among other things as well, that electrostatic charge has two kinds. Furthermore, we can store static electricity because of the invention of Leyden jar and Electrophorus. By using them we can store greater 1 © Narika Corporation 2020 amount of static electricity, thus conducting experiments with large amount of static electricity. Because of that invention research about static electricity accelerated in the past. In 1929, Robert J. -
Ph 122 Stars%/Usr1/Manuals/Ph122/Elstat
Electrostatics In this set of experiments, we separate electric charges by friction and explore the two different kinds of electric charge and how they interact. I. Theory Electric Charge We find two kinds of electric charge in nature • Positive (protons in the atomic nucleus all have positive electric charge) • Negative (electrons all have negative electric charge of the same size as protons) Atoms normally have equal numbers of protons and electrons and are thus electrically neutral, or uncharged. Likewise, larger objects usually have equal numbers of negative charges (electrons) and positive charges (protons) and are neutral. If there is a slight imbalance between the number of protons and the number of electrons, then the object is electrically charged. Electrons (usually the “outer” electrons) can be removed from an atom. For example, rubbing two different materials, say rubber and cloth, against each other can cause some electrons to move from one material to the other. Electrons are held more firmly in rubber (or plastic) than in cloth. Thus when a rubber rod is rubbed with cloth, the rubber rod does not want to give up its electrons to the cloth, so electrons transfer from cloth to the rubber, making the rubber rod negatively charged (more electrons than protons). The cloth now has a deficiency of electrons, so it is left positively charged (due to more protons than electrons). A glass rod, on the other hand, loses electrons easily compared to the cloth and is willing to give up its electrons to the cloth. If you rub the glass rod with the cloth, the glass becomes positively charged and the cloth gains electrons and becomes negatively charged. -
Basic Electrostatics System Model No
Instruction Manual Manual No. 012-07227D Basic Electrostatics System Model No. ES-9080A Basic Electrostatics System Model No. ES-9080A Table of Contents Equipment List........................................................... 3 Introduction .......................................................... 4-5 Equipment Description .............................................. 5-11 Electrometer...................................................................................................................................5 Electrostatics Voltage Source ........................................................................................................6 Variable Capacitor .........................................................................................................................7 Charge Producers and Proof Plane............................................................................................. 7-8 Proof Plane................................................................................................................................. 8-9 Faraday Ice Pail............................................................................................................................10 Conductive Spheres......................................................................................................................11 Resistor-Capacitor Network Accessory.......................................................................................11 Electrometer Operation and Setup Requirements................12-13 Suggested