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

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Unformatted text preview: Formula Sheet for LSU Physics 2102, First Exam, Spring ’11 • Constants, definitions: o = 8.85 × 10−12 C2 /Nm2 c = 3.00 × 108 m/s dipole moment: p = q d Area of a circle: A = πr 2 v = vo + at x − xo = vo t + 1 at2 2 • Coulomb’s law: |F | = k = 8.99 ×109 Nm2 /C2 4π o e = 1.60 × 10−19 C Q Q Q charge densities: λ = , σ = , ρ = L A V Area of a sphere: A = 4πr 2 k= x − xo = 1 (vo + v )t 2 2 v 2 = vo + 2a(x − xo ) 1 g = 9.8 m/s2 1 eV = e(1V) = 1.60×10−19 J Volume of a sphere: V = 4 πr 3 3 • Kinematics (constant acceleration) : x − xo = vt − 1 at2 2 • Force on a charge in an electric field: F = q E |q| r2 2kp z3 | q1 || q2 | r2 • Electric field of a point charge: |E | = k • Electric field of a dipole on axis, far away from dipole: E = • Electric field of an infinite line charge: |E | = 2kλ r • Torque on a dipole in an electric field: τ = p × E , • Electric flux: Φ = E · dA Potential energy of a dipole in E field: U = −p · E • Gauss’ law: 2 o E · dA = qenc • Electric field of an infinite non-conducting plane with a charge density σ : E = σ o • Electric field of infinite conducting plane or close to the surface of a conductor: E = • Electric potential, potential energy, and work: f σ o Vf − Vi = − i E · ds ∂V ∂x In a uniform field: ∆V = −Ed cos θ , Ey = − ∂V , Ez = − ∂V n n ∂y ∂z q Potential of a point charge q : V = k Potential of n point charges: V = r Electric potential energy: ∆U = q ∆V ∆U = −Wfield q1 q2 Potential energy of two point charges: U12 = Wext = q2 V1 = q1 V2 = k r12 • Capacitance: definition: q = CV Capacitor with a dielectric: C = κCair Potential Energy in Cap: U = Capacitors in parallel: Ceq = q2 2C Ci = 1 2 qV = 1 2 CV 2 E=− V , Ex = − Vi = k i=1 i=1 qi ri d 1 Energy density of electric field: u = κεo |E |2 2 1 1 Capacitors in series: = Ceq Ci Parallel plate: C = ε◦ A ...
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This note was uploaded on 05/20/2011 for the course PHYS 2102 taught by Professor Gimmnaco during the Fall '08 term at LSU.

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