Test 1 Formula Sheet of General Physics Majors - Lecture Notes | PHYS 1202, Study notes of Physics

Download Test 1 Formula Sheet of General Physics Majors - Lecture Notes | PHYS 1202 and more Study notes Physics in PDF only on Docsity! PHYS1202 Test 1 formula sheet € 1eV =1.6 ×10−19J € F = ma € KE = 1 2 mv 2 € W = −ΔU (by field) € Wext = ΔU = −W € U = qV gravitational constant g = 9.8 m/s2 mass of proton mp = 1.67x10-27 kg mass of electron me = 9.11x10-31 kg charge on proton qp = +e = +1.602x10-19 C charge on electron qe = -e = -1.602x10-19 C permittivity of free space ε0 = 8.85x10-12 C2/(N⋅m2) permeability of free space µ0 = 4πx10-7 T⋅m/A Coulomb’s Law constant k = 8.99x109 N⋅m2/C2 Joule Watt Amp Volt Ohm = J = N⋅m = W = J/s = A = C/s = V = J/C = Ω = V/A Units € F = qE €  F = k q1 ⋅ q2 r2 €  E = k q r2 € U = k q1q2 r € V = k q rPoint charges € = 1 4πε0 € Asphere = 4πr 2 € Acylinder = 2πr € Vsphere = 4πr 3 3 € Vcylinder = πr 2  € V = 1 4πε0 dq r∫ € E = dE = 1 4πε0 dq r2∫∫ € dq = λds =σdA = ρdV Continuous distributions €  E = −  ∇ V €  E = −∂V ∂x ˆ i − ∂V ∂y ˆ j − ∂V ∂z ˆ k € ΔV = −  E ⋅ d s i f ∫ Potential⇔Field Gauss’ Law & Flux € Φ =  E ⋅ d  A ∫ € ε0Φ = ε0  E ⋅ d  A ∫ = qenc Flux = € E = Qz 4πε0 z2 + R2( ) −3 / 2hoop € E = σ 2ε0 1− z z2 + R2       disk € E = σ 2ε0 insulating sheet conducting sheet € E = σ ε0 € E ≈ 1 2πε0 p z3 Electric dipole € p = qd € U = −  p ⋅  E € V ≈ 1 4πε0 pcosθ r2