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Electric Potential Difference

5.2 The Equipotential surfaces

As the electric field can be represented graphically by lines of force, the

potential distribution in an electric field may be represented graphically by

equipotential surfaces.

The equipotential surface is a surface such that the potential has the same

value at all points on the surface. i.e. V B -V A = zero for any two points on

one surface.

The work is required to move a test charge between any two points on an

equipotential surface is zero. (Explain why?)

In all cases the equipotential surfaces are at right angles to the lines of force

and thus to E. (Explain why?)

E

E

Figure 5.3 (a)

Figure 5.3 (b)

Figure 5.3 shows the equipotential surfaces (dashed lines) and the electric

field lines (bold lines), (a) for uniform electric field and (b) for electric

field due to a positive charge.

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