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Chapter 24 Electric Potential
In this chapter we will define the electric potential ( symbol V ) associated with the electric force and accomplish the following tasks: Calculate V if we know the corresponding electric field Calculate the electric field if we know the corresponding potential V Determine the potential V generated by a point charge Determine the potential V generated by a discrete charge distribution. Determine the potential V generated by a continuous charge distribution. Determine the electric potential energy U of a system of charges Define the notion of an equipotential surface Explore the geometric relationship between equipotential surfaces and electric field lines Explore the potential of a charged isolated conductor. (24-1)
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O x . xi xf F(x) A B (24-2)
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A B (24-3)
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O (24-4)
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r1 r2 r3 P q1 q3 q2 (24-5)
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A B C (24-6)
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. P r dq (24-7)
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dq O A (24-8)
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(24-9)
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(24-10)
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S A B V q S V (24-11)
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(24-12)
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A B V V+dV (24-13)
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A B V V+dV (24-14)
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x y O q1 q2 q3 r12 r23 r13 (24-15)
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y O x y q1 Step 1 x O r12 q1 q2 Step 2 Step 3 x y O r12 r13 r23 q1
(24-16)
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path A B conductor (24-17)
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(24-18)
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(24-19)
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R (24-20)
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