Ch 18: Electric Force & Electric Fields • The electrical nature of matter comes from atomic structure Electrons • Orbit the nucleus in a “cloud” • Relatively massless • me=9.11x10-31kg Nucleus – • made up of protons and neutrons • Most of the mass of the atom is contained in the nucleus • mp=1.673x10-27kg • mn=1.675x10-27kg The Origin of Electricity • The electrical nature of matter comes from atomic structure Electrons • Have a negative charge • -e = -1.60x10-19C Protons – • Have a positive charge • +e = +1.60x10-19C Neutrons – • No net electrical charge The Origin of Electricity • The electrical nature of matter comes from atomic structure • The magnitude of the charge on a proton = the magnitude of the charge on the electron. The magnitude is e=1.6x10-19 C. • e is an elementary charge (it is indivisible) • The SI unit for electrical charge is the coulomb (C). The Origin of Electricity • The SI unit for electrical charge is the coulomb (C). • One coulomb is the charge which would flow through a 120-watt light bulb in one second. • Two charges of 1 C each separated by a meter would repel each other with a force of about 1,000,000 tons! • Usually, we measure charge in nanoCoulombs (x10-9 C) The Coulomb • In nature, atoms are usually found with equal numbers of protons and electrons => electrically neutral • A net charge (q) can be built up on an object by adding or removing electrons • q=Ne , where N is an integer Electrical Charge • How many electrons are there in one coulomb of negative charge? • q=Ne • N=q/e = 1.00C/1.60x10-19C • N=6.25x1018 electrons Example 1 • Electrons can be transferred from one object to another • The object that gains electrons acquires a negative charge • The object that loses electrons has a positive charge Charged objects & electrical force • When a plastic rod is rubbed with fur, some of the electrons from the fur are transferred to the rod. • No electrons or protons are created or destroyed • The net charge of the fur/rod system remains constant (Law of conservation of electrical charge) Charged objects & electrical force • Two electrically charged objects exert a force on each other. • This electrostatic force can alter the motion of an object. (Newton’s 2nd Law) Charged objects & electrical force • Object A and Object B are each electrically neutral. 2 million electrons are removed from A and placed on B. What is the resulting charge on A and B? • q=Ne • q=(2,000,000)(1.60x10-19C) = 3.2x10-13 C • A = +3.2x10-13 C • B = - 3.2x10-13 C Example 2 • Object A has a charge of -1.6x10-13C, and Object B is electrically neutral. 2 million electrons are removed from A and placed on B. What is the resulting charge on A and B? • q=Ne • q=(2,000,000)(1.60x10-19C) = 3.2x10-13 C • A = -1.6x10-13 C – (-3.2x10-13C) = +1.6x10-13C • B = 0C + (- 3.2x10-13 C) = - 3.2x10-13 C Example 3 • Charge can exist on an object, and also move through an object. • Substances that readily conduct electric charge are called electrical conductors. (ex: metals) • Materials that conduct electric charge poorly are called electrical insulators. (example: rubber, plastic, wood) Conductors and Insulators • Recall that a metallic bond has a “sea of electrons” • The valence electrons are not “attached” to the parent atom – they can wander freely throughout the material • The ready movement of valence electrons is what makes a good conductor. Remember chemistry??? • In an insulator, there are very few electrons free to move throughout the material. • Insulators tend to have a more full valence shell and higher ionization energies. • The valence electrons are being held tightly by the nucleus of its parent atom. • Without the free electrons, there is very little flow of charge ď electrical insulator Remember chemistry??? • When a negatively charged rod is touched to a metal sphere, some of the excess electrons from the rod are transferred to the sphere. • Once the rod is removed, the electrons repel each other and spread out as far away from each other as possible. Charging by contact • Identical conducting spheres equalize their charge upon touching. +5q -3q +5q +q Total charge is +5q -3q = 2q equally distributed over both spheres -3q +q Charging by contact • A negatively charged rod that is brought close to (but not touching) a metal sphere induces the electrons in the sphere to move away from the negative rod causing a separation of charge. Charging by induction • Grounding the sphere causes some of the electrons to leave the sphere and redistribute themselves over the earth (remember, they want to be as far away from each other as possible. The earth is a good conductor.) Charging by induction • If the grounding wire is removed, then the negative rod is removed, the sphere is left with a positive net charge. Charging by induction • If the sphere were made of an insulating material (like plastic), you would not be able to induce a net charge on it. • However, you would still be able to separate the positive and negative charges slightly and induce a slight positive charge at the surface. Charging by induction • A rod made from insulating material carries a net charge (which may be positive or negative), whereas a copper sphere is electrically neutral. The rod is held close to the sphere but does not touch it. Which statement is true? • A) the forces are always attractive • B) the forces are always repulsive • C) the forces are attractive when the rod is negative and repulsive when positive • D) the forces are repulsive when the rod is negative and attractive when positive • E) there are no forces Example 4 • Focus p. 563 #1,2, 4 • Problems #1-6 Assignment