Lect_3_note

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 qr == F Er
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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 ei i i q k r = Er
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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= 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 = dA dA
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Linear Charge Densities ± when a charge is distributed evenly along a line ± λ = Q / : line charge density ± dq = 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 const.
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This note was uploaded on 01/28/2011 for the course PHYS 011 taught by Professor Nianlin during the Fall '08 term at HKUST.

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

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