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COURSE EXPECTATIONS COURSE CODE: PHYS-2006 COURSE NAME: GENERAL PHYSICS III: ELECTROMAGNETISM FACULTY MEMBER: WENFENG CHEN 2012-13 2013-14 CALENDAR COURSE DESCRIPTION: This course, aiming at students in Bachelor of Science and Bachelor of Science and Technology programs, introduces fundamental concepts and physical laws of electricity and magnetism, and applications of electromagnetism in modern science and technology. This course consists of five parts: electrostatics, direct current, static magnetism, electromagnetic induction and electromagnetic wave. Topics include: electric charge, electric field, electric force, electric potential, capacitance, Coulomb’s law, Gauss’s law, direct current circuit, electric resistance, Ohm’s law and Kirchhoff’s rules; magnetic field, magnetic force on moving electric charges and magnetic force between current-carrying conductors, Biot-Savart law on the creation of magnetic field by moving charge and Ampere’s law; Faraday’s law of induction and Lenz’s law describing direction of induced electric field, inductance, alternating current, inductive reactance, capacitive reactance and impedance of alternating circuit; resonance in a series RLC circuit, displacement current, Maxwell’s equations, theoretical prediction and Hertz’s discovery of electromagnetic wave; propagation and properties of electromagnetic wave. EXPECTATIONS: BY THE END OF THE COURSE STUDENTS SHOULD BE ABLE TO: 1. DEMONSTRATE UNDERSTANDING OF THE PHYSICAL CONTENT AND MATHEMATICAL FORMULATIONS OF COULOMB’S LAW AND GAUSS’S LAW IN ELECTROSTATICS AND THE 2. CONCEPTS OF ELECTRIC FIELD AND ELECTRIC POTENTIAL CREATED BY A CHARGED OBJECT BY USING COULOMB’S LAW TO CALCULATE THE STATIC ELECTRIC FORCE BETWEEN TWO CHARGES, UTILIZING BOTH THE DEFINITION AND GAUSS’S LAW TO CALCULATE ELECTRIC FIELDS CREATED BY POINT CHARGES AND CONTINUOUS CHARGE DISTRIBUTIONS ON OBJECTS WITH SYMMETRIC GEOMETRIC SHAPE SUCH AS A ROD, A RING, A DISK, AN PLANE AND A SPHERE, SKETCHING ELECTRIC FIELD LINES OF THE ELECTRIC FIELD CREATED BY A CHARGE DISTRIBUTION AND QUALITATIVELY EXTRACT OUT ELECTRIC FIELD DISTRIBUTION FROM ELECTRIC FIELD LINES, USING NEWTON’S SECOND LAW TO STUDY THE DYNAMICS OF A CHARGED PARTICLE IN UNIFORM ELECTRIC FIELD, CALCULATING ELECTRIC POTENTIAL CREATED BY POINT CHARGES AND A CONTINUOUS CHARGE DISTRIBUTIONS WITH SYMMETRIC GEOMETRIC SHAPE, EVALUATING ELECTRIC POTENTIAL ENERGY A CHARGED PARTICLE IN AN ELECTRIC FIELD, AND EXPOUNDING AND DERIVING THE PHYSICAL FEATURES OF CHARGES DISTRIBUTION, ELECTRIC FIELD AND ELECTRIC POTENTIAL OF A CONDUCTOR IN ELECTROSTATIC EQUILIBRIUM DEMONSTRATE UNDERSTANDING OF THE CONCEPT OF CAPACITANCE AND THE ROLE OF CAPACITORS IN ELECTRIC CIRCUIT BY SHOWING THE STRUCTURE OF A CAPACITOR, USING THE DEFINITION OF A CAPACITANCE TO CALCULATE CAPACITANCES OF SOME TYPICAL CAPACITORS INCLUDING PARALLEL-PLATE CAPACITOR, CYLINDRICAL CAPACITOR AN SPHERICAL CAPACITOR, CALCULATING EQUIVALENT CAPACITANCE OF A NUMBER OF CAPACITORS COMBINED IN PARALLEL AND IN SERIES IN A CIRCUIT, EXPOUNDING HOW A CAPACITOR CAN STORE CHARGES AND CALCULATING ELECTRIC FIELD ENERGY STORED IN A 3. 4. 5. 6. 7. CAPACITOR, EXPLAINING HOW DIELECTRICS CAN INCREASE CAPACITANCE OF A CAPACITOR AT A MICROSCOPIC LEVEL WITH THE NOTION OF ELECTRIC DIPOLE AND CALCULATED THE INCREASED CAPACITANCE AND STORED ELECTRIC FIELD ENERGY DEMONSTRATE UNDERSTANDING OF THE CONCEPTS OF ELECTRIC CURRENT, ELECTRIC RESISTANCE, ELECTRIC CIRCUIT AND ELECTRIC POWER AND APPLICATION OF OHM’S LAW BY USING THE DEFINITION OF ELECTRIC CURRENT AND THE MICROSCOPIC MODEL OF CURRENT TO CALCULATE ELECTRIC CURRENT PASSING THROUGH A SECTION OF CONDUCTOR, EVALUATING CURRENT DENSITY AND RESISTANCE WITH OHM’S LAW AND THE ELECTRIC CONDUCTION MODEL, CALCULATING ELECTRIC POWER DELIVERED TO A RESISTOR, EVALUATING EQUIVALENT RESISTANCE OF A DIRECT-CURRENT CIRCUIT COMPOSED OF A NUMBER OF RESISTORS COMBINED IN SERIES AND PARALLEL, SKILLFULLY USING KIRCHOFF’S JUNCTION AND LOOP RULE TO FIND ELECTRIC CURRENT IN A CIRCUIT AND VOLTAGE BETWEEN ANY TWO POINTS IN THE CIRCUIT, EXPOUNDING HOW CHARGE AND DISCHARGE IN A RC CIRCUIT OCCUR AND CALCULATING THE CHARGE ON THE CAPACITOR AND CURRENT IN THE CIRCUIT AT A CERTAIN TIME AND EVALUATING TIME CONSTANT OF THE RC CIRCUIT DEMONSTRATE UNDERSTANDING OF THE CREATION OF STATIC MAGNETIC FIELD AND MAGNETIC FORCE BY SKETCHING MAGNETIC FIELD LINES OF A MAGNET AND DETERMINING ORIENTATION OF A COMPASS IN MAGNETIC FIELD, CALCULATING MAGNETIC FORCE EXERTED ON A MOVING CHARGED PARTICLE IN A MAGNETIC FIELD AND ON A CURRENTCARRYING CONDUCTOR AS WELL AS THE TOQUE OF A CURRENT LOOP IN A UNIFORM MAGNETIC FIELD, USING THE BIOT-SAVART LAW TO CALCULATE MAGNETIC FIELD PRODUCED BY A CURRENT-CARRYING CONDUCTOR AND MAGNETIC FORCE BETWEEN TWO PARALLEL CURRENT-CARRYING CONDUCTORS, AND UTILIZING AMPERE’S LAW TO CALCULATE THE MAGNETIC FIELD PRODUCED BY SOME CURRENT-CARRYING CONDUCTORS WITH GOOD GEOMETRIC SHAPES SUCH AS A LONG STRAIGHT WIRE, TOROID AND SOLENOID, ETC., IDENTIFYING THREE TYPES OF MAGNETISM IN MATTER AND USING MAGNETIC MOMENTS OF ATOMS TO EXPOUND THE ORIGIN OF MAGNETISM DEMONSTRATE UNDERSTANDING OF ELECTROMAGNETIC INDUCTION BY USING FARADAY’S LAW OF INDUCTION TO CALCULATE INDUCED EMF AND MOTIONAL EMF INDUCED IN A CONDUCTOR MOVING IN A CONSTANT MAGNETIC FIELD, AND DETERMINING THE DIRECTIONS OF INDUCED CURRENT AND ELECTRIC FIELD IN A CONDUCTING LOOP WITH LENTZ’S LAW, EXPOUNDING WORKING PRINCIPLES OF AN ALTERNATING-CURRENT GENERATOR, A DIRECT-CURRENT GENERATOR AND A MOTOR, AND CALCULATING THE INDUCED EMF BY A GENERATOR AND INDUCED CURRENT IN A MOTOR AS WELL AS THE ORIGIN OF EDDY CURRENTS DEMONSTRATE UNDERSTANDING OF THE CONCEPT OF INDUCTANCE BY EXPLAINING THE MEANING OF SELF-INDUCTION IN A CIRCUIT CARRYING TIME-VARYING CURRENT AND CALCULATING INDUCTANCES OF SOME TYPICAL INDUCTORS LIKE A SOLENOID AND MUTUAL INDUCTANCE OF TWO NEARBY CIRCUITS CARRYING TIME-VARYING CURRENTS, EVALUATING MAGNETIC FIELD ENERGY STORED IN AN INDUCTOR AND MAGNETIC ENERGY DENSITY OF A MAGNETIC FIELD, DERIVING THE CURRENT IN A RL CIRCUIT AND CALCULATING THE TIME CONSTANT OF RL CIRCUIT, EXPOUNDING THE OSCILLATION PROCESS IN A LC CIRCUIT AND THE ALTERNATIVE CONVERSION BETWEEN ELECTRIC ENERGY IN A CAPACITOR AND MAGNETIC FIELD ENERGY IN AN INDUCTOR AND CALCULATING THE NATURAL FREQUENCY OF OSCILLATION OF LC CIRCUIT, COMPARING THE ANALOGUE BETWEEN RLC CIRCUIT AND DAMPED OSCILLATION A MECHANICS, EVALUATING THE DAMPED ANGULAR FREQUENCY OF A RLC CIRCUIT AND DETERMINING THAT THE DAMPED OSCILLATION IS UNDERDAMPED, CRITICALLY DAMPED OR OVERDAMPED DEMONSTRATE UNDERSTANDING OF THE PHYSICAL FEATURES AND TECHNOLOGICAL APPLICATIONS OF ALTERNATING-CURRENT CIRCUITS BY CALCULATING INSTANTANEOUS CURRENTS AND VOLTAGES, ROOT-MEAN-SQUARE CURRENTS AND VOLTAGES, MAXIMAL 8. CURRENTS AND VOLTAGES, INDUCTIVE REACTANCE OF AN INDUCTOR AND CAPACITIVE REACTANCE OF A CAPACITOR, IMPEDANCE OF A RLC SERIES CIRCUIT WHEN A SINUSOIDAL AC SOURCE APPLIES TO A CIRCUIT CONSISTING OF A SINGLE RESISTOR, CAPACITOR OR INDUCTOR AND A CIRCUIT FORMED BY RESISTOR, CAPACITOR AND INDUCTOR COMBINED IN SERIES, EXPOUNDING THE RESONANCE PHENOMENON IN A SERIES RLC CIRCUIT AND COMPUTING RESONANCE FREQUENCY, QUALITY FACTOR AND THE AVERAGE POWER DELIVERED TO A LOAD RESISTOR AT RESONANCE, EXPLAINING WORKING PRINCIPLES OF AC TRANSFORMERS, RECTIFIERS AND FILTERS AND CALCULATING VOLTAGE OUT VOLTAGE BY AN IDEAL TRANSFORMER AND EQUIVALENT RESISTANCE OF A LOADED RESISTANCE DEMONSTRATE UNDERSTANDING OF THE PHYSICAL IMPLICATIONS AND SIGNIFICANCE OF MAXWELL’S EQUATIONS, AS WELL AS PHYSICAL PROPERTIES AND TECHNOLOGICAL APPLICATIONS OF ELECTROMAGNETIC WAVES BY FIRST EXPLAINING THE MEANING OF DISPLACEMENT CURRENT, CALCULATING DISPLACEMENT CURRENT IN AN AC CIRCUIT, AND WRITING DOWN THE AMPERE-MAXWELL LAW, EXPOUNDING HOW MAXWELL EQUATIONS PREDICT THE EXISTENCE OF ELECTROMAGNETIC WAVE, CALCULATING PROPAGATION SPEED, MAGNITUDE, FREQUENCY, WAVELENGTH AND WAVE NUMBER OF ELECTROMAGNETIC WAVE AND SHOWING ELECTROMAGNETIC WAVE IS TRANSVERSE BY WORKING ON PLANE WAVE, CALCULATING POINTING VECTOR, INTENSITY, MOMENTUM AND RADIATION PRESSURE OF ELECTROMAGNETIC WAVE, EXPOUNDING THE PRODUCTION AND RADIATION OF ELECTROMAGNETIC WAVE BY AN ANTENNA AND IDENTIFYING SPECTRUM OF ELECTROMAGNETIC WAVE BY ITS FREQUENCY OUTCOMES: SUCCESSFUL GRADUATES OF THIS COURSE WILL DEMONSTRATE 1. A DEVELOPED KNOWLEDGE AND CRITICAL UNDERSTANDING OF THE KEY CONCEPTS, METHODOLOGIES, THEORETICAL KNOWLEDGE AND EXPERIMENTAL SKILLS IN ELECTROMAGNETISM, AND A CLEAR UNDERSTANDING OF APPLICATIONS OF 2. 3. 4. 5. 6. 7. ELECTRICITY AND MAGNETISM IN OTHER BRANCHES OF SCIENCE AND ELECTRICAL ENGINEERING A DEVELOPED ABILITY TO APPLY KNOWLEDGE IN ELECTRICITY AND MAGNETISM TO REAL-LIFE PROBLEMS AND TO CREATE MATHEMATICAL MODELS FOR SUCH PROBLEMS AN ABILITY OF UNDERSTANDING PHYSICAL PRINCIPLES UNDERLYING ELECTRIC AND MAGNETIC PHENOMENA, EQUIPMENTS AND APPARATUS AN APPRECIATION OF HISTORICAL DEVELOPMENT OF ELECTROMAGNETISM AND ITS PRESENT KNOWLEDGE STRUCTURES A DEVELOPED ABILITY TO SUCCEED IN FUTURE STUDY AND CAREERS RELATED TO PHYSICS OF ELECTROMAGNETISM AN ABILITY OF APPLYING PHYSICAL CONCEPTS, PRINCIPLES AND LAWS OF ELECTROMAGNETISM TO PROBLEMS IN OTHER BRANCHES OF NATURAL SCIENCES AND ENGINEERING AN ABILITY OF UNDERSTANDING, ANALYZING, MODELING AND SOLVING ELECTRICAL AND MAGNETIC PROBLEMS WITH ADVANCED MATHEMATICS SUCH AS CALCULUS, VECTOR ALGEBRA, ANALYTIC GEOMETRY, ELEMENTARY LINEAR ALGEBRA AND ELEMENTARY DIFFERENTIAL EQUATIONS