exam2formulas - Constants: e = 1.6 × 10−19 C mp = 1.67...

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Unformatted text preview: Constants: e = 1.6 × 10−19 C mp = 1.67 × 10−27 kg me = 9.1 × 10−31 kg ǫo = 8.85 × 10−12 C 2 /N · m2 1/(4πǫo ) = 9 × 109 N · m2 /C 2 µo = 4π × 10−7 T · m/A nano = 10−9 micro = 10−6 |q1 ||q2 | Coulomb’s Law: |F | = (point charge) 4πǫo r2 q r (point charge) ˆ 4πǫo r2 qenc Gauss’ law: Φ = n · E A = n · E dA = ˆ ˆ ǫo 1 1 2 2 Energy: W = F · ds = mvf − mvi = Kf − Ki 2 2 Electric field: E = F q E= For conservative forces Uf − Ui = − Electric potential: V = U q V= b Vb − Va = − a E · ds dq r (general) ˆ 4πǫo r2 F · ds → Ki + Ui = Kf + Uf q (point charge) 4πǫo r b Ex dx = − E= Ex = − a V= dq (general) 4πǫo r ∂V ∂V ∂V , Ey = − , Ez = − ∂x ∂y ∂z ǫo A (parallel-plate) C = C1 + C2 (parallel) d q2 1 1 1 1 U= + (series) u = ǫo E 2 = 2C 2 C C1 C2 V ρL dq = jA R= R= (wire) P = iV Resistors: i = dt i A 1 1 1 + (parallel) τRC = RC R = R1 + R2 (series) = R R1 R2 Capacitors: q = CV C= Magnetism: F = qv × B F = iL × B µ = N iA τ =µ×B U = −µ · B µo ids × r ˆ µo i µo i µo iN dB = B · ds = µo ienc B = (wire), (loop center), (solenoid) 4π r 2 2πR 2R L 1 ...
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