S13Phys2BaLec22C

# E dipole 1 2 o p z 3 the reason for the more rapid

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! E dipole = 1 2 !" o p z 3 The reason for the more rapid decrease in magnitude is that, at large distances, electric dipoles look like two point charges that are right on top of one another. They don’t quite cancel each other out.

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Clicker Question 22C-1 Rank in order, from largest to smallest, the electric field strengths E 1 to E 4 at points 1 to 4. A) E 2 > E 1 > E 4 > E 3 . B) E 1 = E 2 > E 3 > E 4 . C) E 2 > E 1 = E 4 > E 3 . D) E 2 > E 4 > E 1 > E 3 . E) E 1 > E 2 > E 3 > E 4 . E 1 E 2 E 3 E 4
Continuous Distributions But if you have a continuous charge distribution, then you need to divide the distribution into very small (differential) elements of charge. It becomes useful to define charges in terms of densities. + + + + + + + + + + For a line of charge, we have linear charge density, λ . q tot l ds dq ! = q tot ! ! = dq ds If you have a discrete charge distribution (1, 2, 3... charges) then you can add up their individual electric fields by superposition.

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Continuous Distributions To find the total electric field from the entirety of the distribution, then sum over all the differential contributions. Note: many times you will find the direction separately (especially in the most difficult cases). Thus, most times you can be satisfied with: !
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