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(a) 9 For a aarge g ential are irfaces the Physics An equipotential surface is a surface with 2.6 EQUIPOTENTIAL SURFACES at all points on the surface. For a single charg by Eq. (2.8): V= 1 9 4RE, T tion between Geld at the charge. This shows that V is a constant if r is consta closely spaced equ surfaces of a single point charge are concentric Now the electric field lines for a single charge q Clearly, the electric field at every point is normal ton against the s from or ending at the charge, depending on whether ong this perpe passing through that point. This is true in g configuration, equipotential surface through a p al values V and V the electne field E 81 is the perpetu om P. Imagine t cess is E181 work equa electric field at that point. The proof of this statement have non-zero component along the surface. To m If the field were not normal to the equipotent against the direction of the component of the field. be done. But this is in contradiction to the definition surface: there is no potential difference between any surface and no work is required to move a test chat a The electric field must, therefore, be normal to the e at every point. Equipotential surfaces offer an alternat in addition to the picture of electric field lines an SV = V-(V El= S

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Updated on: May 13, 2023