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lecture2 - Electric Field Coulombs Law Electric Field...

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Electric Field Coulomb’s Law Electric Field – definition Text sections 23.3, 23.4 Practice: Chapter 23 , problems 3, 7, 11, 13, 15 Coulomb’s Law Point charges exert forces on each other: 2 1 q q , r r 1 q 2 q r ˆ r F ˆ 2 2 1 r q q k e = 2 2 9 10 988 8 C m N x k e = . (Coulomb’s Law constant) r ˆ is a unit vector parallel to r F F
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Notes: for point charges only r F r r || 1 q F r 2 q F r 2 1 r F r We also define 2 2 12 0 10 85 . 8 m N C x ε o e k πε 4 1 . (“permittivity of vacuum”) Exercise: L L ° 30 ° 30 m m q q GIVEN : •Identical Masses, m=1.0 gram •Equal charges q •L= 60 cm FIND : q (equilibrium) (How big is a coulomb?)
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Quiz: L L m m 2q q/2 What happens to each angle if the charge on the left is doubled, and the other one is halved? (equilibrium) ? ? Example Example : Find: Force (vector) on q 3 , in Cartesian form. C q µ 10 1 = C q µ 20 2 = C q µ 30 3 = 400mm 300mm
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Electric Field E r Coulomb’s Law: “action at a distance” q ο q Force Field Picture: The “source” charge q produces an electric field in space. The field pushes on the “test” charge q 0 . ? Definition: Electric Field ο q F E r r • A vector • Exists before test charge is introduced
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