EMNotes - PHYS1112 - Electricity and Magnetism Lecture...

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Unformatted text preview: PHYS1112 - Electricity and Magnetism Lecture Notes Dr. Jason Chun Shing Pun Department of Physics The University of Hong Kong January 2005 Contents 1 Vector Algebra 1 1.1 Definitions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.2 Vector Algebra . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.3 Components of Vectors . . . . . . . . . . . . . . . . . . . . . . . . 2 1.4 Multiplication of Vectors . . . . . . . . . . . . . . . . . . . . . . . 4 1.5 Vector Field (Physics Point of View) . . . . . . . . . . . . . . . . 6 1.6 Other Topics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 2 Electric Force & Electric Field 8 2.1 Electric Force . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 2.2 The Electric Field . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 2.3 Continuous Charge Distribution . . . . . . . . . . . . . . . . . . . 12 2.4 Electric Field Lines . . . . . . . . . . . . . . . . . . . . . . . . . . 18 2.5 Point Charge in E-field . . . . . . . . . . . . . . . . . . . . . . . . 21 2.6 Dipole in E-field . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22 3 Electric Flux and Gauss’ Law 25 3.1 Electric Flux . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25 3.2 Gauss’ Law . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28 3.3 E-field Calculation with Gauss’ Law . . . . . . . . . . . . . . . . . 28 3.4 Gauss’ Law and Conductors . . . . . . . . . . . . . . . . . . . . . 31 4 Electric Potential 36 4.1 Potential Energy and Conservative Forces . . . . . . . . . . . . . 36 4.2 Electric Potential . . . . . . . . . . . . . . . . . . . . . . . . . . . 40 4.3 Relation Between Electric Field E and Electric Potential V . . . . 45 4.4 Equipotential Surfaces . . . . . . . . . . . . . . . . . . . . . . . . 48 5 Capacitance and DC Circuits 51 5.1 Capacitors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51 5.2 Calculating Capacitance . . . . . . . . . . . . . . . . . . . . . . . 51 5.3 Capacitors in Combination . . . . . . . . . . . . . . . . . . . . . . 54 5.4 Energy Storage in Capacitor . . . . . . . . . . . . . . . . . . . . . 55 i 5.5 Dielectric Constant . . . . . . . . . . . . . . . . . . . . . . . . . . 57 5.6 Capacitor with Dielectric . . . . . . . . . . . . . . . . . . . . . . . 58 5.7 Gauss’ Law in Dielectric . . . . . . . . . . . . . . . . . . . . . . . 60 5.8 Ohm’s Law and Resistance . . . . . . . . . . . . . . . . . . . . . . 61 5.9 DC Circuits . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 64 5.10 RC Circuits . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 69 6 Magnetic Force 73 6.1 Magnetic Field . . . . . . . . . . . . . . . . . . . . . . . . . . . . 73 6.2 Motion of A Point Charge in Magnetic Field . . . . . . . . . . . . 75 6.3 Hall Effect . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 76 6.4 Magnetic Force on Currents . . . . . . . . . . . . . . . . . . . . . 78 7 Magnetic Field 81 7.1 Magnetic Field . . . . . . . . . . . . . . . . . . . . . . . . . . . .7....
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EMNotes - PHYS1112 - Electricity and Magnetism Lecture...

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