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# lecture3 - ElectricFieldsII ElectricFields Definition r F u...

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Electric Fields II

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Electric Fields  Electric fields are produced by point charges and continuous charge distributions Definition:   F qE = ur r . E r q F r          is force exerted on charge        by an  external field    Note: q produces a field but it is not external
E = ? + + + + + + + + + + + Source + Continuous Charge Distributions Continuous Charge Distributions Cut source into small (“infinitesimal”) charges dq Each produces  2 ( ) ˆ e dq dE k r = r uur dE r r dq 2 e dq dE k r = uur or

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Steps: Draw a coordinate system on the diagram Choose an integration variable (e.g.,  x ) Draw an infinitesimal element  dx Write  r  and any other variables in terms of  x Write  dq  in terms of  dx   Put limits on the integral Do the integral or look it up in tables.
Example Example : Uniformly-Charged Thin Rod : Uniformly-Charged Thin Rod (length  L , total charge  Q ) L d ? = E r

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