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Unformatted text preview: Î¸ . E i,x = kÎ» Î” x r 2 sin Î¸, E i,y = kÎ» Î” x r 2 cos Î¸ 8. Express the distance From P to Î” Q i in terms oF the x and ycoordinates, and substitute this in your equations For the electric feld components. r = r x 2 + y 2 E i,x = kÎ» Î” x x 2 + y 2 sin Î¸, E i,y = kÎ» Î” x x 2 + y 2 cos Î¸ 9. Express sin Î¸ and cos Î¸ in terms oF the x and ycoordinates and substitute these in your equations For the electric feld components. sin Î¸ = x r x 2 + y 2 , cos Î¸ = y r x 2 + y 2 E i,x = kÎ»x Î” x ( x 2 + y 2 ) 3 / 2 , E i,y = kÎ»y Î” x ( x 2 + y 2 ) 3 / 2 10. Convert your equations into integrals: change your small distance element Î” x or Î” y into a diÂ±erential d x or d y ; determine the limits oF integration. E x = kÎ» i L/ 2L/ 2 x d x ( x 2 + y 2 ) 3 / 2 , E y = kÎ»y i L/ 2L/ 2 d x ( x 2 + y 2 ) 3 / 2 M. Ouellette, 22 April 2007 Page 2 oF 2...
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 Spring '08
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 Charge, Electric charge, Fundamental physics concepts, Continuous Charge Distribution

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