PHYS270_HMWK1 - 2. How would you express the components of...

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PHYS270 Homework #1 Due Monday Jan. 31 in class In the review of electrostatics the formula for the electric field of a point charge at the origin was given to be: ! E ( ! r ) = q 1 4 !" 0 r 2 ˆ r When evaluated in Cartesian coordinates this became ! E ( ! r ) = E x ˆ i + E y ˆ j + E z ˆ k , where E x ( x , y , z ) = q 1 4 0 x x 2 + y 2 + z 2 ( ) 3/2 E y ( x , y , z ) = q 1 4 0 y x 2 + y 2 + z 2 ( ) 3/2 E z ( x , y , z ) = q 1 4 0 z x 2 + y 2 + z 2 ( ) 3/2 1. How would you change this formula if the point charge q 1 were located at the point x=1, y=2, z=3?
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Unformatted text preview: 2. How would you express the components of the electric field in cylindrical coordinates for the case where the point charge is back at the origin? In other words use coordinates ( ! , " , z ) write an expression for the field components ! E ( ! r ) = E ˆ + E ˆ + E z ˆ k x z ! " ! r...
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This note was uploaded on 12/28/2011 for the course PHYSICS 270 taught by Professor Drake during the Fall '08 term at Maryland.

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