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# Lec03 - Lecture 3-1 Electric Field Lines A visualization...

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Lecture 3-1 Electric Field Lines A visualization tool to illustrate the geometry of an electric field. Electric field lines originate from positive charges and terminates at negative charges . The direction of the electric field at any location is tangential to the field line there. The magnitude of the electric field at any location is proportional to the density of the lines there. # lines/area ~ 1/r 2 ~ |E| (or at infinity)

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Lecture 3-2 Electric field lines of two charges of equal magnitude dipole Far from the charges, electric field lines resemble those of a point charge. head2right Field lines do NOT cross head2right They do NOT come out of nowhere or vanish into a point.
Lecture 3-3 Electric field lines of two charges # lines proportional to the magnitude of charge Far from charges, the field lines are as if they are due to a point charge of +2q-q=+q

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Lecture 3-4 Electric Field due to an Electric Dipole ( ) ( ) 2 2 2 2 2 2 2 2 3 ( / 2) ( / 2) (1 ) (1 ) 2 2 (1 ...) (1 ...) 2 2 [1 ( )] ... E E E q q k k z d z d q d d k z z z q d d k z z z kq d d k O z z p z z + - - - = - = - - + = - - + = + + - - +   = + = +     At point P on z-axis: Where is the (magnitude of) dipole moment.
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