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# L16_a - ELECTRIC POTENTIAL DUE TO A POINT CHARGE The work...

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ELECTRIC POTENTIAL DUE TO A POINT CHARGE The work done by an external force (i.e. you?) to move charge q from A → B : Equal to change in the potential energy of the charge   B A A B s d E q V V q U Sign OK? Says that if you do positive work to move charge, potential energy increases. Potential difference is   B A A B s d E V V Because electric force is conservative, potential difference does NOT depend on path A → B Will use this to derive electric potential at a distance r from a point charge.

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Electric potential due to a point charge Consider two points in space near a point charge q A is distance A r from q B is distance B r from q We will calculate potential difference   B A A B s d E V V Result does not depend on choice of path A → B so we will use two steps: o 1 s d which is parallel to E (and radial) o then 2 s d which is perpendicular to E (and concentric)
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L16_a - ELECTRIC POTENTIAL DUE TO A POINT CHARGE The work...

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