Sunday, May 16, 2010

Irodov Problem 3.35

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,

3 comments:

  1. 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

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    Replies
    1. Potential is a scalar quantity so it must be a•R so as to get a scalar result.

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  2. In question, both A and R are vectors.
    "where a is a constant vector and r is the radius vector of a point"

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