lecture8 - Physics 2102 Gabriela Gonzlez Physics 2102...

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Electric Potential Physics 2102 Gabriela González Physics 2102
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Electric Potential on Perpendicular Bisector of Dipole You bring a charge of -3C from infinity to a point P on the perpendicular bisector of a dipole as shown. Is the work that you do: a) Positive? b) Negative? c) Zero? a -Q +Q -3C P
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Electric Potential of Many Point Charges What is the electric potential at the center of each circle? Potential is a SCALAR All charges are equidistant from each center, hence contribution from each charge has same magnitude: V +Q has positive contribution -Q has negative contribution A: -2V+3V = +V B: -5V+2V = -3V C: -2V+2V = 0 A C B -Q +Q Note that the electric field at the center is a vector, and is NOT zero for C!
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Continuous Charge Distributions Divide the charge distribution into differential elements Write down an expression for potential from a typical element -- treat as point charge Integrate! Simple example: circular rod of radius R, total charge Q; find V at center. 0 4 dq V R πε = dq R 0 0 1 4 4 Q dq R R = =
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Distribution: Example L q / = λ dx dq = - + = = L x a L dx k r kdq V 0 ) ( [ ] L x a L k 0 ) ln( - + - = + = a a L k V L a x dx
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lecture8 - Physics 2102 Gabriela Gonzlez Physics 2102...

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