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Equipotential surfaces

The equation of an equipotential line in an electric field is y = 2x, then the electric field Strength vector at (1, 2) may be 


Field lines will be perpendicular to equipotential surface . Slope of equipotential surface m1=2 and slope of electric field lines is m2 .

therefore m1×m2 =-1  m2 = -12 .

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