Exam Equation Sheet - Electricity and Magnetism | PHYS 224, Study notes of Physics

Download Exam Equation Sheet - Electricity and Magnetism | PHYS 224 and more Study notes Physics in PDF only on Docsity! Equation Sheet for PHYS-224 (Knight 2e) Kinematic equations of motion (constant acceleration): xf = xi + vox(4t) + 1 2 ax(4t)2 vf = vi + a4t v2v = v2i + 2ax(xf − xi) Electric Force between two point charges: F1 on 2 = F2 on 1 = K|q1||q2| r2 Electric Fields and Forces: q ~E = ~F ~E = ~Fon q q ~F = m~a ~a = q ~E m Electric Field Models for charge distributions Point: ~E = K q r2 r̂ = 1 4πo q r2 r̂ Infinite line: E = 2Kλ r Infinite plane: E = η 20 Charge Densities: λ = Q/L η = Q/A ρ = Q/V Electric flux: Φe = ~E· ~A = EA cos θ Φe = ∫ ~E· d ~A = ∫ E⊥ dA Gauss’s Law: Φnet = ∮ ~E· d~A = Qin o Work and Energy: W = ∫ ~F · ~ds W = 4K = −4U K = 1 2 mv2 Potential Energy stored in point charge pair: Uelec = 1 4πo q1q2 r Electric Potential: V = U q q4V = 4U point charge: V = 1 4πo q r Electric field and electric potential: 4V = Vf−Vi = − ∫ f i ~E·d~s Es = − dV ds Capacitors : C = Q 4VC C = κoA d UC = 1 2 C(4VC)2 = 1 2 Q4VC = 1 2 Q2 C Parallel: Ceq = C1 + C2 + C3 + · · · Series: Ceq = ( 1 C1 + 1 C2 + 1 C3 + · · · )−1 Current: I = 4Q 4t I = neeAvd i = neAvd vd = eE m τ J = I A J = σE Resistors: I = 4V R R = ρL A P = 4V I = I2R = (4V) 2 R Series: Req = R1 +R2 +R3 + · · · Parallel: Req = ( 1 R1 + 1 R2 + 1 R3 + · · · )−1 Circuit Analysis ∑ Iin = ∑ Iout ∑ 4V = 0 Discharging a Capacitor: Q = Qoe−t/τ I = Ioet/τ τ = RC version 8/23/08