UIUC phys212 - Physics 212 Formula Sheet 2009...

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1 Physics 212 Formula Sheet –2009 2 0 1 2 E u E ε κ = 0 C C κ = 2 1 1 1 1 C C C + = V Q C d A C 0 0 ε = ( ) τ t e Q t Q = 1 ) ( ) ( ( ) a b ab C = 0 0 4 πε C Q CV U 2 2 1 2 2 1 = = τ t e Q t Q = ) 0 ( ) ( RC = τ ) / ln( 2 0 0 a b L C πε = 2 1 C C C + = Capacitors and RC Circuits: 2 1 R R R + = I V R = 2 P IV I R = = A L R ρ = 2 1 1 1 1 R R R + = Simple Circuits: Electrostatics: r q r V 0 4 1 ) ( πε = r r q E ˆ 4 1 2 0 πε = r V E = r r r r q q πε F ˆ 4 1 2 12 2 1 0 = r r r E ˆ 2 0 πε λ = r V q U 0 = 0 q F E r r 12 2 1 0 12 4 1 r q q U πε = x ε σ E ˆ 2 0 ± = r Δ = ± V Ed = S d E Φ E r r 0 ε encl Q S d E = r r = B A AB A B l d E q W V V r r 0 τ t e I t I = ) 0 ( ) ( dt dI L V = dt d EMF B Φ = 2 2 1 LI U = ( ) τ t e I t I = 1 ) ( ) ( R L = τ 2 1 L L L + = I L B Φ 2 1 1 1 1 L L L + = Induction and RL Circuits: 0 2 2 1 μ B u B = = S d B Φ B r r r I B π μ 2 0 = 2 0 ˆ 4 r r l Id B d × = r r π μ nI B 0 μ = v F qE q B = + × r r r r A NI r r = μ B r r r × = μ τ B l Id F d r r r × = Magnetostatics: I l d B 0 μ = r r B U r r = μ 2 0 3 2 2 2 2( ) z IR
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