Electric field and electric potential are related as,

Here,is the gradient operator and represents the direction and magnitude slope of the electric potential in 3 dimensions. In Cartesian coordinates it is given by,

Thus,

For this problem,

## Sunday, May 16, 2010

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in the ques it is a.r not (a vector).(r vector) so how can we solve the problem without assuming a is perpendicular to r

ReplyDeletePotential is a scalar quantity so it must be a•R so as to get a scalar result.

DeleteIn question, both A and R are vectors.

ReplyDelete"where a is a constant vector and r is the radius vector of a point"