Physics II Formula Sheet, Cheat Sheet of Physics

Download Physics II Formula Sheet and more Cheat Sheet Physics in PDF only on Docsity! Physics II Formula Sheet ~F12 = 1 4π0 q1q2 r2 ~ur ~E = 1 4π0 Q r2 ~ur ~E = n∑ i=1 ~Ei = n∑ i=1 1 4π0 qi ri2 ~uri ~E = ∫ d ~E = ∫ 1 4π0 dq r2 ~ur U = −~p · ~E ~τ = ~p× ~E ΦE = ∫ ~E · ~dA ∮ ~E · ~dA = Qencl 0 E = σ 20 E = σ 0 ∆U = −q0 ∫ B A ~E · ~dl U = 1 4π0 q1q2 r12 ∆V A→B = ∆U q0 = − ∫ B A ~E · ~dl V = 1 4π0 Q r V = n∑ i=1 1 4π0 qi ri V = ∫ 1 4π0 dq r ~E = − ( ∂V ∂x ~ı + ∂V ∂y ~ + ∂V ∂z ~k ) C = Q V C = 0A d C = 4π0 rarb rb − ra C = 2π0L ln(rb/ra) Ceq = C1 + C2 + C3 + · · · 1 Ceq = 1 C1 + 1 C2 + 1 C3 + · · · U = Q2 2C = 1 2 CV 2 = 1 2 QV uE = 1 2 0E 2 C = κeC0 uE = 1 2 κe0E 2 = 1 2 E2 I = dQ dt ~J = nq~vd ~E = ρ ~J ρ = ρ0[1 + α(T − T0)] R = ρL A V = RI I = E R+ r P = V I P = I2R = V 2 R Req = R1 +R2 +R3 + · · · 1 Req = 1 R1 + 1 R2 + 1 R3 + · · · ∑ closed loop ∆V = 0 ∑ Iin = ∑ Iout Q(t) = CE(1− e− tRC ) I(t) = E R e− t RC Q(t) = Q0e− t RC I(t) = − Q0 RC e− t RC ~FB = q ~v × ~B ~FB = I ~L× ~B ~dFB = I ~dl × ~B ΦB = ∫ ~B · ~dA ∮ ~B · ~dA = 0 ~µ = NI ~A ~τ = ~µ× ~B UB = −~µ · ~B ~F = q ~E + q ~v × ~B r = mv |q|B ω = 2πf = |q|B m ~dB = µ0 4π I ~dl × ~ur r2 B = µ0I 2πr B = µ0I 2r ∮ ~B · ~dl = µ0Iencl B = µ0nI B = µ0NI 2πr E = −N dΦB dt E = ∮ ( ~v × ~B ) · ~dl ∮ ~E · ~dl = −dΦB dt ∮ ~B · ~dl = µ0 ( iC + 0 dΦE dt ) encl M = N2ΦB2 i1 = N1ΦB1 i2 E2 = −M di1 dt E1 = −M di2 dt L = NΦB i E = −Ldi dt L = µ0N 2A ` L = µ0N 2A 2πr U = 1 2 LI2 uB = 1 2µ0 B2 i = E R ( 1− e−RL t ) i = E R e− R L t q = Q cos(ωt+ φ) i = −ωQ sin(ωt+ φ) ω = √ 1 LC ω′ = √ 1 LC − R 2 4L2 q = Ae− R 2L t cos (ω′t+ φ) XC = 1 ωC XL = ωL Z = √ R2 + (XL −XC)2 tanφ = XL −XC R Vrms = V√ 2 Irms = I√ 2 Vrms = ZIrms