formulasheet1 - Formula Sheet for LSU Physics 2102 First...

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Formula Sheet for LSU Physics 2102, First Exam, Spring ’11 Constants, definitions: ² o = 8 . 85 × 10 - 12 C 2 /Nm 2 k = 1 4 π² o = 8.99 × 10 9 Nm 2 /C 2 g = 9.8 m/s 2 c = 3 . 00 × 10 8 m/s e = 1 . 60 × 10 - 19 C 1 eV = e(1V) = 1.60 × 10 - 19 J dipole moment: ~ p = q ~ d charge densities: λ = Q L , σ = Q A , ρ = Q V Area of a circle: A = πr 2 Area of a sphere: A = 4 πr 2 Volume of a sphere: V = 4 3 πr 3 Kinematics (constant acceleration) : v = v o + at x - x o = 1 2 ( v o + v ) t x - x o = vt - 1 2 at 2 x - x o = v o t + 1 2 at 2 v 2 = v 2 o + 2 a ( x - x o ) Coulomb’s law: | ~ F | = k | q 1 || q 2 | r 2 Force on a charge in an electric field: ~ F = q ~ E Electric field of a point charge: | ~ E | = k | q | r 2 Electric field of a dipole on axis, far away from dipole: ~ E = 2 k~ p z 3 Electric field of an infinite line charge: | ~ E | = 2 r Torque on a dipole in an electric field: ~ τ = ~ p × ~ E , Potential energy of a dipole in ~ E field: U = - ~ p · ~ E Electric flux: Φ = R ~ E · d ~ A Gauss’ law: ² o I ~ E · d ~ A = q enc Electric field of an infinite non-conducting plane with a charge density σ : E = σ 2 ² o Electric field of infinite conducting plane or close to the surface of a conductor:
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