chp26_4 - PHY2061 R. D. Field Charge Distributions Charge...

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PHY2061 R. D. Field Department of Physics chp26_4.doc University of Florida Charge Distributions Charge Distributions: Linear charge density λ : λ(θ) λ(θ) = charge/unit arc length R dQ = λ ds = λ R d θ For a circular arc dQ = λ(θ) λ(θ) ds = λ(θ) Rd θ and Qd Q d s R d == = ∫∫ λθ θ () If λ ( θ ) = λ is constant then dQ = λ ds and Q = λ s , where s is the arc length. Surface charge density σ : σ( σ( σ( σ( x,y ) ) = charge/unit area dQ = σ dA For a surface dQ = σ( x,y ) dA and Q x y d A σ (,) If
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