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# lecture9 - Electric Potential(II Text sections 25.3 25.5...

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Electric Potential (II) Text sections 25.3, 25.5 •Potential of a point charge •Potential of several point charges •Potential energy of a collection of charges Problems: 25-21, 25-23, 25-31, 25-43 Review: Electric Potential Review: Electric Potential charge energy potential V So, ds E = = q qdV dW dx dV E x = ds E = dV

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What is the electric potential near a point charge Q? What is the electric potential near a point charge Q? +Q r r Q k E e ˆ 2 = r Move another charge q in the field: its potential energy changes as the field does work. q A B = = B A r r A B q V V q ds E ) ( work) ( ) ( ... then cancel q on each side. Set V=0 as r Î Then… r Q k V e = (potential around a single point charge Q)
What shape are the equipotential sufaces near a single point charge? What is the potential 10 cm from a (point) charge of 100 nC ? How will the result change for a spherical charge (which is not a “point charge”)?

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