General Physics II Final Exam Cheat Sheet, Cheat Sheet of Physics

Download General Physics II Final Exam Cheat Sheet and more Cheat Sheet Physics in PDF only on Docsity! Constants: ke ≡ 1/4πo = 8.98755× 109 N ·m2 · C−2 o = 8.85× 10−12 C2/N ·m2 µo ≡ 4π × 10 −7 T · m/A c 2 = 1/µoo e = 1.60218× 10−19 C me− = 9.10938× 10 −31 kg mp+ = 1.67262× 10 −27 kg NA = 6.022× 1023 things/mol g = 9.81 m/s2 Basic Equations: 0 = ax 2 + bx 2 + c =⇒ x = −b± √ b2 − 4ac 2a ~Fcentr = − mv2 r r̂ Centripetal Electric Force & Field: ~F12 = ke q1q2 r2 r̂ = q2~E1 ~E1 = ~F12/q2 = ke q1 r2 r̂ ~E = ke X i qi r2i r̂i → ke  dq r2 r̂ = ke  ρr̂ r2 dVol Capacitors: Qcapacitor = C∆V Cparallel plate = 0A d Ucapacitor = 1 2 Q∆V = Q2 2C = C (∆V ) 2 Ceq, par = C1 + C2 + C3 + · · · 1/Ceq, series = 1/C1 + 1/C2 + 1/C3 + · · · Cwith dielectric = κCwithout κair = 1 I = dQ/dt = CdV/dt RC circuits QC(t) = Q0 h 1− e−t/τ i charging QC(t) = Q0e −t/τ discharging Q(t) = C∆V (t) τ = RC ac Circuits τ = L/R RL circuit τ = RC RC circuit XC = 1 2πfC “resistance” of a capacitor for ac XL = 2πfL “resistance” of an inductor for ac ωcutoff = 1 τ = 2πf Electric Potential (static case!): ∆V = VB − VA = ∆U q = −  B A ~E · d~l Vpoint = ke q r V = ke  dq r continuous Ex = − dV dx → ~E = −~∇V Upair of point charges = ke q1q2 r12 = V1q2 = V2q1 Usystem = sum over unique pairs = X pairs ij keqiqj rij Ufield = 1 2  oE 2 dVol = 1 2  ρV dVol V = ke  dq r continuous Ex = − dV dx → ~E = −~∇V ∆PE = q∆V = −q|~E||∆~x| cos θ = −qEx∆x ↑ constant E field Other: “ ~E2 − ~E1 ” · n̂ = 4πkeσ sheet of charge with σ Fsheet = σ 2 (E1 + E2) Current & Resistance: I =  S ~J · d~A uniform J−−−−−→ I = dQ dt = nqAvd J = X k nkqkvk uniform J−−−−−→ J = I A = nqvd  S ~J · d~A = − d dt  V ρ dVol R = %l A ρ = 1/σ ~vd = qτ m ~E τ = scattering time ρ = 1/σ = m nq2τ R = V/I Ohm E = %J orJ = σE Ohm P = dU/dt = I∆V power Req = R1 + R2 + . . . series 1/Req = 1/R1 + 1/R2 + . . . parallelX Iin = X Iout junctionX closed path ∆V = 0 loop EM Waves: c = λf = |~E| |~B| I = » photons time – » energy photon – » 1 Area – I = energy time · area = EmaxBmax 2µ0 = power (P) area = E2max 2µ0c 1