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Physics 102: Introduction to Physics n Same course procedures as Physics 101 n Labs start next week n Lectures by Ed Groth n Electromagnetism-Waves-Optics-Quantum-Nuclear n Course web page is http://physics.princeton.edu/~groth/phys102s02/ 7 Feb 2002 Physics 102 Lecture 1 1 7 Feb 2002 Physics 102 Lecture 1 2 Electric Charges n Electric charge is a conserved property of matter Charge can be moved from one body to another u The smallest unit of charge appears to be u e = 1.6 ×10 −19 C the proton charge. The electron charge is -e n n Opposite charges attract each other, and like charges repel each other. kq1q2 Coulomb’s Law: F r 2 with k 8.99x109 Nm 2 / C2 note similarity to Newton’s law of Gravity. 7 Feb 2002 Physics 102 Lecture 1 3 A B C D E 7 Feb 2002 F G none of the above Physics 102 Lecture 1 4 Charging Charges move freely through conductors (e.g., copper, gold, …) but stay where they are placed on insulators (e.g., wood, rubber, …). n Charging by contact u a charged rod is brought into contact with a conductor, and u charges are transferred to the conductor -- --- -- --- --Electroscope n Charging by induction u a charged rod is brought near a conductor u the conductor is grounded u the charged rod is removed. 7 Feb 2002 Physics 102 Lecture 1 5 Kelvin Generator mildly conducting water wire loops water drops How do electroscopes get charged ? electroscopes Hint: imagine that one drop starts out with a small charge on it. 7 Feb 2002 Physics 102 Lecture 1 6 The Electrophorus n n n n 7 Feb 2002 First the rubber (insulator) is negatively charged by friction. When the metal plate (conductor) is brought near, a charge separation is induced, then negative charge flows to ground from top of plate. When the plate is removed, it has a net positive charge Physics 102 Lecture 1 7 Conductors If we place charge onto a conducting surface, where does it reside? Why? 7 Feb 2002 Physics 102 Lecture 1 8 The Electric Field n n n The electric field is the force per unit charge on a test charge: E = F / q It is a vector, pointing in the direction a positive charge would be accelerated. The field at a point is the (vector) sum of the fields due to each charge. •Field lines begin at positive charges and end at negative charges. •The electric field is tangent to the field lines at all points. •The density of field lines is proportional to the strength of the field. 7 Feb 2002 Physics 102 Lecture 1 9 The electric field induces charges on the grains which in turn produce torques that align the grains with the field. 7 Feb 2002 Physics 102 Lecture 1 10 A point charge attracted to a conducting copper sphere. The charge on each is the same. The point charge is initially moving away from the sphere but does not have enough energy to escape. The green lines show the electric field From http://web.mit.edu/jbelcher/www/ 7 Feb 2002 Physics 102 Lecture 1 11 An electric field points to the right as shown. 3 2 4 5 1 If the charge is negative, which of the paths is possible? A) 1, 2 B) 3 C) 4 6 D) 2 Initial velocity 7 Feb 2002 Physics 102 Lecture 1 E) 6 12 Gravitational and Electric Potential Energy n n Recall that the work done against gravity is the change in gravitational potential energy WAB=mghA-mghB=GPEAGPEB 7 Feb 2002 We also do work moving a charge in an electric field (force is F = qE ) n WAB=EPEA-EPEB (change in electric potential energy) n Physics 102 Lecture 1 13 Voltage n The voltage of an object tells you its Electrical potential energy per unit charge ∆V n n ∆EPE q0 Units are J/C Just as for gravitational potential energy, we can sense only differences in electrical potential energy --OR VOLTAGES. Zero is arbitrary: far away (infinite separation) or in lab, “ground”. 7 Feb 2002 Physics 102 Lecture 1 14 + + + + The Van de Graaff Generator + brush + + + 7 Feb 2002 Physics 102 Lecture 1 15 The Human Electroscope 7 Feb 2002 Physics 102 Lecture 1 16