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# lecture8 - Electric Potential(II ntial of a point charge...

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Electric Potential (II) Potential of a point charge Potential of several point charges Potential energy of a collection of charges

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Review: Electric Potential Review: Electric Potential charge energy potential V dx dV E x - = dV = - E ds Electric potential is not an absolutequantity. It is always relativeto the potential V=0 for our choiceof position. Most often we chooseV=0 at theposition of infinity.
What is theelectric potential at distance r from a point chargeQ? What is theelectric potential at distance r from a point chargeQ? +Q r r Q k E e ˆ 2 = r

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Solution
Eg: a) What shape aretheequipotential surfaces near an isolated point charge? b) What is the potential 10 cm from an isolated point chargeof 100 nC ? c) What is thepotential 10 cm from an isolated point chargeof -100 nC ?

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Potential of Several Point Charges Potential of Several Point Charges Potentials add (as scalars! ). r i aredistances! 1 r 2 r A At A: 1 2 1 2 ( ) e q q V k r r = + In General: i e i i q V k r = Or… e dq V k r = (for a continuous chargedistribution) (for a discrete chargedistribution)
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lecture8 - Electric Potential(II ntial of a point charge...

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