Static Electricity Section 20.1 Learning Objectives: Electrostatics • Recognize that objects which are charged exert forces, both attractive and repulsive. • Demonstrate that charging is the separation, not the creation of electrical charges. • Describe the differences between conductors and insulators. Static Electricity is about charges that are not moving What is Charge? • Charge is a fundamental property of matter. • Electrostatics: • It is the cause of all electrical phenomena: electrical fields, forces, current, etc. the study of electric forces and fields that are created by stationary charges. • It is either “+” or “-” • It is measured in Coulombs (C) CHARGE IS… • ...the stuff that flows during an electric current. • ...the stuff that appears on a balloon when you rub it on your hair. • ...charge is the + and - stuff that forms or is carried by subatomic particles.. • ...charge is the stuff that, when it wiggles fast, creates light. • ...charge is the stuff that, when it flows or spins, creates magnetism. • ...charge is the stuff that reflects light and makes objects visible. • ...charge is the stuff that makes metals look metallic or "silvery." • ...charge is the stuff that holds everyday objects together. • ...charge is the stuff inside of conductors that is movable, almost fluid. Properties of Charge: • Cannot be created or destroyed • occurs in discrete natural units, equal to the charge of an electron or proton • can be ‘positive’ or ‘negative’ • one positive charge can combine with one negative charge, and the result is a net charge of zero (neutral) • ...charge is the stuff inside of nonconductors that is "frozen" in place. • …charge is a fundamental property of matter 1 Unit of Charge: Coulomb (C) Who discovered charge? 1 Coulomb = • Ancient Greeks knew about static electricity and how to make it the amount of charge in 6.24 × 1018 electrons • Ben Franklin coined the term “charge” and came up with the idea of positive and negative • Robert Milikan Discovered the charge of 1 electron in the famous Milikan Oil Drop Experiment Basic charge laws • + & - attract • + & + repel • - & - repel + + - - 1 electron = 1.60 x 10 -19 Coulombs conductor vs. insulator - + So, what is the charge of 1 electron? • Conductors allow electrons to move freely Like charges repel & Opposites attract conductor vs. insulator • Insulators keep the electrons in place conductor vs. insulator Conductors Insulators Metals Plastic Salt water Glass Plasma Rubber 2 Charging an Object Forming Charge: Chemistry -3 for 3 electrons -4 for 4 electrons +3 +3 Objects become charged if they have an imbalance of protons and electrons. Total Charge = zero Total Charge = -1 -2 for 2 electrons Can an object gain or lose protons? (Think: Can protons MOVE?) Can an object gain or lose electrons? (Think: Can electrons MOVE?) +3 Law of Conservation of Charge: Total Charge = +1 Forming Charge the net charge in an isolated system remains constant Conservation of Charge Charge cannot be created or destroyed. • Friction – Electrons can be removed from a material and it becomes positive – Electrons can be added to a material and it becomes negative Protons and Electrons cannot be created or destroyed. Electrons can be transferred from one substance to another. Neutral (grounded) objects have and equal number of protons and electrons. Electrostatics Part 2: Section 20.2 Electrostatics • Benjamin Franklin (1706 – 1790) • Proposed “Conservation of Charge” • First to label charges positive and negative • What was known about atoms then? 3 Models of the Atom The Atom • Atoms have positively charged nuclei made of protons (+) and neutrons (0) • These nuclei are surrounded by electrons (‐) Electron Proton Neutron More accurate picture of the atom—the Helium atom Unit of Charge: Coulomb (C) Important Facts • All electrons are identical; that is, each has the same mass and the same quantity of negative charge as every other electron • All protons are identical in mass and charge. The charge is equal in magnitude to electrons, but opposite in sign. • Atoms are neutral (by definition) What’s a Coulomb • The coulomb (symbol: C) is the SI unit of electric charge. • A coulomb is like a dozen, a gallon (128 fl oz), a ton (32 000 ounces), or a mole (6.02×1023)…an arbitrary amount of something used to make a large number more manageable • To make a coulomb of charge, it takes 6.24×1018 electrons. 1 Coulomb = the amount of charge in 6.24 × 1018 electrons So, what is the charge of 1 electron? 1 electron = “elementary charge” = 1.60 x 10 -19 Coulombs FYI: The charge that produces a large lightning bolt is about 10 coulombs of charge. Coulomb • All charges should be reported in coulombs (C) or units of elementary charge (e) (i.e. that of one electron) • About 1 C of charge flows through a 100 W incandescent bulb in 1 s • That is about 6 billion billion electrons 4 Static Electricity Section 20.2 Learning Objectives: • Explain how to charge by conduction or induction. • Develop a model of how charged objects can attract a neutral object. Types of Charging • Friction (pulls off electrons) • Conduction (contact) • Induction (almost touching) • Describe how an electroscope detects charge. • Summarize the relationship between forces and charges. (Polarization: an effect produced during induction) • Use Coulomb’s Law to solve electrical force problems. Charging by Friction: Triboelectric Series If two different neutral materials are rubbed together, one of them will give up electrons and become positively charged. REMEMBER: ONLY ELECTRONS CAN MOVE!!! Valence electrons, specifically Direction of e - movement depends on materials involved. “Triboelectric Series”: Q: A: How do we know if a material gains or loses electrons? A triboelectric series; (the one higher on the list should give up electrons) Charging by Conduction Conduction just means that the two objects will come into actual physical contact with each other (this is why it is sometimes called “charging by contact”). A neutral object becomes charged by a charged object that touches it. Asbestos Fur (rabbit) Glass Mica Wool Quartz Fur (cat) Lead Silk Human skin , Aluminum Cotton Wood Amber Copper, Brass Rubber Sulfur Celluloid India Rubber Charging by Conduction Let's assume we have a negatively charged metal object and an uncharged metal sphere. The uncharged sphere is on an insulating stand so that it will not interact with anything else. It gains the same charge as the object that charges it. If the two objects are brought close enough that an arc of electricity jumps between them, it counts as conduction also. 5 Charging by Conduction We bring the two objects close together. We will see a separation of charge happen in the neutral object as negative electrons are repelled to the right hand side. Charging by Conduction We now allow the two objects to touch. Some of the negative charge will transfer over to the uncharged metal object. At this time, they are not touching and no charges have been transferred. This happens since the negative charges on the first object are repelling each other... By moving onto the second object they will be able to spread away from each other. Charging by Conduction Charging by Conduction When the negative object is removed, it will not be as negative as it was. Both of the objects have some of the negative charge… how much depends on the size of the objects and the materials they are made of. If they are the same size, made of the same materials, then the charge will be the same on both. Charging by Induction Charging by Conduction Video Temporary vs. Permanent Induction When a charged object is brought close to an object without physical contact, the charged object will induce a movement of electrons in the uncharged object. We call this temporary induction ‘polarization’: In this case the electrons in the neutral object will will be repelled from the electrons in the charged object. If we take the negative rod away, the sphere would return to normal. What could we do instead? 6 Temporary vs. Permanent Induction If a grounding wire is attached to one side of the polarized neutral object, charge will flow into the ground in order to stabilize the electrical forces surrounding the neutral object. Temporary vs. Permanent Induction Once the electrons have been removed from the neutral object, remove the ground wire and then the negatively charged object. It is crucial that the ground wire is removed first, otherwise the electrons will simply return to the metal sphere. In this case the charge is negative, so electrons will leave to an object and go to ground. Thus leaving the originally neutral object with fewer electrons than protons, and resulting in a net positive charge. Charging by Induction Charging by Induction Video How Can We Detect Charge? Electroscope: a device used to detect charge. When a charge is present, the straw rotates. Degree of rotation or separation indicates strength of charge More rotation, more charge Less rotation, less charge Detects both positive and negative charge, but cannot tell the difference. 7 Electroscope When the scope is charged, the foil leaves at the bottom inside spread apart. Types of Charging Electroscope pictures Charging by conduction The scope is touched by the charged rod Types of Charging - - + + - ++ - + Polarization Molecules in a neutral material spin around to have the opposite charge pointed to the charged object outside. Normal uncharged Charging by induction The rod only comes close but does not touch Static Electricity Section 20.2 Learning Objectives: • Explain how to charge by conduction or induction. • Develop a model of how charged objects can attract a neutral object. • Describe how an electroscope detects charge. • Summarize the relationship between forces and charges. -+ -+ - - • Use Coulomb’s Law to solve electrical force problems. + + Coulomb’s Law Coulomb’s Law • Charles‐Augustin de Coulomb (1736 ‐1806) • Defined the electrostatic force of attraction and repulsion • The SI unit of charge, the coulomb (C), was named after him 8 Coulomb’s Law We’ve seen this before… looks a lot like this… Comparison + • Similarity – Both are inverse – square laws: force is inversely proportion to the square of the separation + – • Differences – Electrical force is ≈1,000,000,000,000 (1018)times stronger than gravity – Electrical forces can be both attractive and repulsive while gravity is always attractive – + – Direction k? • With electrical forces, the direction of force must be specified… • A negative number implies attraction • A positive number implies repulsion • Often, the direction is specified with words and the signs of the charges are ignored: A hydrogen’s electron feels an attractive force of 8.2 × 10‐8 N toward the nucleus • The letter k (or kc or ke) in Coulomb’s Law is a proportionality constant, known as Coulomb’s Constant • If charge is reported in units of coulombs and the distance is in meters… 9 Computational Example The hydrogen atom has the simplest structure of all atoms. Compare the electrical and gravitational forces between the proton and the electron in a hydrogen atom. Coulomb’s Law G = 6.7×10‐11 d m ‐19 qp = 1.6×10 C qe = – 1.6×10‐19 C (9.0 x 10 9 N·m2/C2) q2 = charge #2 (C) r = the distance between the charges (m) r Coulomb’s Law Example Problem # 1: Two charges are separated by 3.0 cm. Object A has a charge of +6.0 x 10-6 C, while object B has a charge of +3.0 x 10-6 C. What is the force on object A? REMEMBER: When working with Coulomb’s law a negative solution means that there is an attractive force. This would be the case for finding the force between two opposite charges such as a positive and negative charge. +&-=A positive solution means that there is a repulsive force. Such as two like charges. Given: d = 3.0 cm = 0.030 m K = 9.0 x q1 = charge #1 (C) - N∙m2/kg2 mp = 1.7×10‐27 kg me = 9.1×10‐31 kg qA = +6.0 x 10-6 C K = Coulomb’s constant r2 + = 5.3×10‐11 F = electrical force • F = Kq1q2 qB = +3.0 x 10-6 C +&+=+ -&-=+ 109 For a two point source there is actually two forces at play. q1 Example # 2 q2 For example, you have the force that the first charge exerts on the second (F12) F12 and the force that the second charge exerts on the first (F21) F21 Two balloons with charges of +3.37 µC and -8.21 µC attract each other with a force of 0.0626 N. Determine the separation distance between the two balloons. d = 1.99 m Each charged object exerts an equal but opposite force on the other charged object. 10 Example # 3 10-6 A small sphere, carrying a charge of –8.0 x C, exerts an attractive force of 0.50 N on another sphere carrying a charge with a magnitude of 5.0 x 10-6 C. Example # 4 Three charges A(+5.0 x 10-6 C), B(-2.0 x 10-6 C), and C(+3.0 x 10-6 C), are arranged at the corners of a right triangle as shown. What is the net force on charge C? a) What is the sign of the second charge? b) What is the distance of separation of the center of the spheres? 150 N @ 22° clockwise from the horizontal THE END 11