Review%20test%203%20p260%20su

Review%20test%203%20p260%20su - Exam 2 Topics DC Circuits...

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2 P23 - Exam 2 Topics • DC Circuits Current & Ohm’s Law (Macro- and Microscopic) Power Kirchhoff’s Loop Rules Charging/Discharging Capacitor (RC Circuits) • Magnetic Fields Force due to Magnetic Field (Lorentz Force) Magnetic Dipoles Generating Magnetic Fields • Biot-Savart Law & Ampere’s Law

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3 P23 - General Exam Suggestions • You should be able to complete every problem If you are confused, ask If it seems too hard, you aren’t thinking enough Look for hints in other problems If you are doing math, you’re doing too much • Read directions completely (before & after) • Write down what you know before starting • Draw pictures, define (label) variables Make sure that unknowns drop out of solution • Don’t forget units!
5 P23 - Current & Ohm’s Law dQ I dt = I J ˆ A I G ( ) 1 ρ σ == EJ J GG G Ohm’s Laws R A = A IR V =

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6 P23 - Series vs. Parallel 12 s R RR = + 111 s CCC =+ P = + P R Series • Current same • Voltages add Parallel • Currents add • Voltages same
8 P23 - Current, Voltage & Power Battery ε I V I P = = supplied R V R I V I P 2 2 dissipated = = = Resistor absorbed 2 2 dQ Q PI V dt C dQ dU dt C dt =∆= == Capacitor

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9 P23 - Kirchhoff’s Rules 123 I II =+ = = Path Closed d V 0 s E G G
10 P23 - (Dis)Charging A Capacitor / tRC dQ Ie dt R ε == ( ) / 1 QC e =− 0 = = IR C Q V i i dQ I dt 0 dQ CQ R C dt −− = τ final Q

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11 P23 - General Comment: RC All Quantities Either: ( ) / Final Value( ) Value 1 t te τ =− / 0 Value( ) Value t = τ can be obtained from differential equation (prefactor on d/dt) e.g. τ = RC
13 P23 - Right Hand Rules 1. Torque: Thumb = torque, Fingers show rotation 2. Feel: Thumb = I, Fingers = B, Palm = F 3. Create: Thumb = I Fingers (curl) = B 4. Moment: Fingers (curl) = I Thumb = Moment (=B inside loop)

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14 P23 - () B B B q dI d I Fv B Fs B FL B GG G G G Magnetic Force
16 P23 - Magnetic Dipole Moments A n μ G G I IA ˆ Generate: Feel: 1) Torque to align with external field 2) Forces as for bar magnets

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17 P23 - Helmholtz Coil Common Concept Question Parallel (Helmholtz) makes uniform field (torque, no force) Anti-parallel makes zero, non- uniform field (force, no torque)
19 P23 - The Biot-Savart Law Current element of length ds carrying current I (or equivalently charge q with velocity v) produces a magnetic field: 2 0 ˆ 4 r d I r s B d × = G G π µ 2 ˆ x 4 o q r = vr B G G

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Review%20test%203%20p260%20su - Exam 2 Topics DC Circuits...

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