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# formula%20sheet - B IA U B τ μ = × = = ⋅ r r r r r r r...

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Some expressions from the Textbook which may or may NOT be useful for this exam (However, you are supposed to know what each symbol means) Current and current density: , d dQ I n q A dt υ = = d J nq υ = r r Resistivity and Ohm’s Law: , E V IR J ρ = = Kirchhoff’s Rules: 0 0 (junction rule), (loop rule) I V = = Power: ab P V I = Equivalent Resistance: 1 2 (in series) eq n R R R R = + + + L 1 2 1 1 1 1 (in parallel) eq n R R R R = + + + L Simple R-C Circuit: Charging: ( ) ( ) /( ) /( ) /( ) /( ) 0 ( ) 1 1 ( ) t RC t RC f t RC t RC q t C e Q e dq i t e I e dt R ε ε - - - - = - = - = = = Discharging: /( ) 0 /( ) 0 ( ) ( ) t RC t RC q t Q e Q dq i t e dt RC - - = = = - Magnetic Forces: m F q B υ = × r r r (on a point charge q ) m dF I dl B = × r r r (on a current-carrying segment dl r ) Magnetic Flux: , 0 (for a closed surface) B B dA B dA Φ = = r r r r ° Magnetic Torque and Potential Energy:
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Unformatted text preview: , , B IA U B τ μ = × = = - ⋅ r r r r r r r Hall Effect: x y z J B nq E-= Cyclotron Radius: m R q B = Magnetic Field of a moving charge q : 2 ˆ 4 q r B r π × = r r Magnetic Field of a Current-Carrying Segment: 2 ˆ 4 Idl r dB r × = r r Magnetic Field of a Long Straight Wire: 2 I B r = Magnetic Force Between Two Parallel Wires: 2 II F L r ′ = Axial Magnetic Field of a Current Loop of Radius a : 2 x NI B a = (at the center of N circular loops) Ampere’s Law: encl B dl I ⋅ = ∫ r r &...
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