Electricity & Magnetism • Unit I - Charge Behavior and Interactions – Charge produces and responds to an electric field • Unit II - Electric Potential – An electric field can store energy • Unit III - Circuits – The electric field can cause bulk charge flow in conducting materials • Unit IV - Magnetism – Charge flow produces and responds to a new field 1 What’s the same? • Many of the labs and activities are very familiar – – – – Sticky tape, Coulomb’s Law Mapping electric potential Ohm’s Law, resistance in series and parallel Mapping magnetic field • Many of the exercises are familiar 2 So, what’s different? • Develop models to account for observed phenomena • Use these models throughout the entire set of materials – Diagrammatic representations, causal mechanisms stressed over QPS using plug-nchug approach 3 I- Charge and Field • Emphasis on atomic model of matter – charge is a fundamental property of matter (like mass) – charge carriers are microscopic constituents of matter – behavior of charged objects results from uneven charge distribution 4 I- Charge and Field • Compare and contrast electrical and gravitational forces – force arises from fundamental property of objects (mass vs charge) – inverse square relationships between point particles m1m2 q1q2 Fg G r 2 Fe k r 2 – differences in magnitude and direction 5 I - Charge & Field • Emphasis placed on origin and nature of the field – arises from uneven distribution of charge – strength is the force per unit “something” N N g E kg C – mediates the force between charges – stores energy due to interactions 6 II - Potential & Energy • Continue analogy with gravitational field – Relate electric equipotentials to contour lines on a topographic map S20 S19 S18 S17 S16 S15 S14 S13 S12 S11 S10 S9 S8 S7 S6 S5 S4 S3 S2 S1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 7 II - Potential & Energy • Continue analogy with gravitational field – Relate electric equipotentials to contour lines on a topographic map – Potential is property of position in field Vg gh Ve Ed – Changes in potential energy depend on field strength, change in position and a property of the object 8 II - Potential & Energy • Formulas are developed in context of energy storage and transfer E F x E qV 9 II - Potential & Energy • Formulas are developed in context of energy storage and transfer E F x E qV • Rearrangement yields essential relationships F x V V Ed q 10 III - Circuits • Emphasis on causal mechanisms rather than application of Ohm’s and Kirchoff’s Laws – field responsible for bulk flow of charge in conductors – ∆V accounted for by differences in charge density • Study of circuits no longer disconnected from field and potential developed earlier 11 III - Circuits • Influences – Sherwood and Chabay article • “A Unified Treatment of Electrostatics and Circuits” • surface charge distribution responsible for field – CASTLE curriculum • unequal initial flow rates can cause compression or depletion of charge 12 III - Circuits • Paradigm labs examine what’s happening in the wires as well as in resistors – use voltage probe to measure ∆V in wire during transient – make charge distribution maps to account for ∆V • infer existence of field – must also exist in wires if charge is to flow – field strength dependent on charge distributions 13 III - Circuits • Sketch the charge distribution and field in the intervals midway through the discharge of the capacitor through the long bulb. • Sketch a diagram that you feel describes the charge distribution, wire size and field midway through the discharge of the capacitor through the round bulb. In what ways are the diagrams similar? How are they different? 14 IV - Magnetism • Moving charge produces and responds to a magnetic field • 1st lab - mapping field produced by charge moving in a wire – RH curl rule – field strength increases with current and decreases with distance 15 IV - Magnetism • Compare/contrast with electric field – E-field - static charge, lines originate from (+) and terminate on (-) – B-field - moving charge, lines form closed loops • Magnetic domains in “permanent magnets” result of electron spin 16 IV - Magnetism • Demo to show how force acts on wire carrying current. • Mr BIl’s swing is deflected out from magnetic field when current runs through the wire Oh Nooo! FIl andB FI • RH palm rule • Sets up lab with current balance 17 IV - Magnetism • Small motor project application of Lorentz force on loop • Loop rotates to align B fields • Sets stage for introduction of flux and induction 18 Materials are a work-in-progress • Magnetism least well-developed of the E&M units • Instructional notes in all units need work to more coherently develop story line • Feedback from Modeling teachers should help 19