# L03 - Lecture 3 Vector Superposition The Field of Standard...

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LECTURE 3 slide 1 Lecture 3 Vector Superposition The Field of Standard Charge Distributions Sections: 2.4, 2.5 Homework: D2.2, D2.5, D2.6; 2.17, 2.18, 2.20, 2.25

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LECTURE 3 slide 2 The E-field of Multiple Sources superposition holds in a linear medium superposition means adding the individual contributions of sources vector superposition implies adding/subtracting vectors the E -field is a vector The ESF of multiple charges at any point is a vectorial sum of the fields created by each individual charge. i i = EE
LECTURE 3 slide 3 The E-field of a Point Charge – Reminder a point charge at the origin (spherical coordinates) 2 1 4 r Q r πε = Ea a point charge at position r 2 1( ) () 4 || R Q =⋅ r Er a rr or 3 ( ) 4 Q ′′ r

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LECTURE 3 slide 4 The E-field of Multiple Point Charges – 1 2 1 1( ) () 4 || N nn n n n Q πε = =⋅ r Er a rr Examples with 2 charges: 1 2 QQ = 2 = − E 1 r 21 = 1 E 2 E E 2 E 1 E
LECTURE 3 slide 5 The E-field of Multiple Point Charges – 2 11 1 1 1 22 2 3 / 2 1 () ( ) (, ,) 4 | ( ) | x yz Qx x yy zz xyz xx πε +− + =⋅ −+ aa a E 2 2 2 2 3 / 2 2 ( ) 4 | ( ) | x x + a E 12 xy zx y y z =+ EE E

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LECTURE 3 slide 6 Field of a Uniform Line Charge – 1 The line charge is represented by an infinite number of infinitesimal line elements of charge l
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## This note was uploaded on 02/29/2012 for the course PHYS 227 taught by Professor Rabe during the Fall '08 term at Rutgers.

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L03 - Lecture 3 Vector Superposition The Field of Standard...

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