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# lecture4 - Electric Field Field of a continuous charge...

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Electric Field •Field of a continuous charge distribution •Electric Field Lines •Motion of charged particles Text 23.6, 23.7 Practice: •Chapter 23, problems 33, 35, 39, 41, 42, 43, 49

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• Field of several point charges q i : • Field of continuous charge distribution: i i i i e r r q k E ˆ = 2 r = r r dq k E e ˆ 2 r
In 2D problems, integrate components separately: ) (cos 2 θ = = r dq k dE E x x x-component of r ˆ ....... = = y y dE E

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Exercise: Uniformly -Charged Ring Charged Ring x y ( x ,0) R Study the solution in the text (Chapter 23) Total charge Q, uniform charge/unit length, radius R Find : E at any point ( x, 0) on the axis of the ring
Example: Uniformly -Charged Charged Semicircle R y x Charge/unit length, , is uniform λ Find : at origin E r

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Electric Field Lines Electric field lines are a way of visualising the field. Rules for Drawing: 1) Lines start on (+) charges, end on (-) charges 2) (# of lines) charge 3) Lines never cross Interpreting the picture: is parallel to the field line at each point.
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