exam 1 notecard - F = 1 4 π ∈ 1 θ 2 θ 2 ρ Forces add...

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Unformatted text preview: F = 1 4 π ∈ 1 θ 2 θ 2 ρ Forces add like vectors forces are always equal & opposite, despite # of charges E = Φ θ = dq 4 π ∈ 2 ρ ∫ ρ 5 dipole: qd 2 π ∈ ρ 3 ρ 5 ; line: λ 2 p Î r r $ point charge: Q 4 π ∈ ρ 2 ρ 5 ; plane: σ 2 Î r $ vector field not affected by test charge; lines go + to - E is tangent to line & proportional to line density dipole: + & - of same magnitude. F=0; moment= P=qd direction of dipole moment opposite E field τ = qdE sin q = PxE U = - Π γ Ε eq of dq line: λ dx arc: λ rdq volume: ρ dV = r dxdydz sheet: σ dA = s dxdy = s rdqdr = s rdqdz = s r 2 sin qdqdq flux = φ = E cos qdA = E g dA ò depending on coord system, dA= dxdy = ρδρδθ = ρδθδζ = ρ 2 σιν θδθδϕ flux measures total electric field through a surface # of electric field lines through a closed surface is proportional to the charge inside & unaffected by the charge outside....
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