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lec02_PyrakNoltepost

lec02_PyrakNoltepost - The Electric Field q1 q2 A Scalar...

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1/11/12 1 The Electric Field How does q 1 know of the presence of q 2 ? + + q 1 q 2 F r r q q k F ˆ 2 2 1 = Coulomb’s Law of Electro-static Force: A Scalar Field 77 82 83 68 55 66 83 75 80 90 91 75 71 80 72 84 73 82 88 92 77 88 88 73 64 These isolated temperatures sample the scalar field T, but T is defined (and can be measured) everywhere ( x , y ) A Vector Field 77 82 83 68 55 66 83 75 80 90 91 75 71 80 72 84 73 57 88 92 77 56 88 73 64 It may be more interesting to know which way the wind is blowing and how fast. The Electric Field The electric field is a vector field : consists of a distribution of vectors, one for each point in the region around a charged object. Test charge q o at point P + F Electric field at point P + E Define: Magnitude: Direction: Direction of that acts on a positive test charge F SI Unit: N/C
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1/11/12 2 Electric Field 0 q F E = + πε = 2 2 2 2 1 2 1 1 0 0 r ˆ r q r ˆ r q 4 q F Observation: The net Coulomb force on a given charge is always proportional to the strength of that charge. q 0 q 1 q 2 F 1 F F 2 test charge Define the electric field , which is independent of the test charge, q 0
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