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Lect_3_note - Chapter 23-3 Electric Fields Description of...

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Chapter 23 -3 Electric Fields
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Description of Electric Field 2 ˆ e e o q k q r = = F E r
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Description of Electric Field
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charges +q +2q -q -3q r 1 r 2 r 4 r 3
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Fields At any point P , the total electric field due to a group of source charges equals the vector sum of electric fields of all the charges 2 ˆ i e i i i q k r = E r
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Charge Distribution Evaluate the total field by summing the contributions of all the charge elements Because the charge distribution is continuous
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Charge Distribution when a charge is distributed evenly throughout a volume ρ = Q / V : volume charge density dq = ρ dV ρ dV ρ dV
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Surface Charge Densities when a charge is distributed evenly over a surface area σ = Q / A : surface charge density dq = σ dA σ dA
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Linear Charge Densities when a charge is distributed evenly along a line λ = Q / : line charge density dq = λ d λ d
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Uniformly charged rod E k e Q/a 2 If a>> ,
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Uniformly charged rod a E k e Q/a 2 If a>> ,
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Uniformly charged ring For very small x , E ( k e Q/ a 3 ) x - q If x>> a, E k e Q/x 2 If x = 0 , E = 0 θ a F - q ( k e Q/a 3 ) x
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Uniformly charged disc If x>> a, E k e Q/x 2 If x << a, E
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