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132 Final Formula Sheet

132 Final Formula Sheet - Coulomb's Law Electric Field of a...

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Coulomb’s Law F = 1 4 πε 0 q Q r 2 = k q Q r 2 k = 8.99 × 10 9 N m 2 C 2 ε 0 = 8.85 × 10 12 C 2 N m 2 Quantization of Charge e = 1.602 × 10 19 C Electric Field of a Point Charge E = 1 4 πε 0 q r 2 Force on a Point Charge in an Electric Field r F = q r E Electric Field of an Infinite Line of Charge E = λ 2 πε 0 y Electric Field of an Infinite Sheet of Charge E = σ 2 ε 0 Electric Field of a Finite Line of Charge in its Midplane E = λ 2 πε 0 y 1 1 + 4 y L 2 Electric Field of a Ring of Charge Along its Axis E = qz 4 πε 0 z 2 + R 2 ( ) 3/2 Electric Field of a Disk of Charge Along its Axis E = η 2 ε 0 1 z z 2 + R 2 Dipole Moment r p = q r d Electric Field of a Dipole on its Axis E = 1 2 πε 0 p z 3 Torque on a Dipole in and Electric Field r τ = r p × r E τ = pE sin θ Potential Energy of a Dipole in an Electric Field U = r p r E = pE cos θ
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Electric Flux Φ = r E d r A Gauss’ Law Φ = q enc ε 0 Electric Fields In and Near Conductors E = σ ε 0 E || = 0 r E
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