Find the electric field strength vector if the potentail of this field has the form `varphi = ar`, where is a constatn vector, and `r` is the radius vector of point of the field.

Find the electric field strength vector if the potentail of this field

1.	Find the electric field strength vector if the potentail of this field has the form `varphi = ar`, where is a constatn vector, and `r` is the radius vector of point of the field.
Answer» In accordance with the problem `varphi = vec(a). vec(r )`. Thus from the equation : `vec(E) = vec(grad) varphi` `vec(E) = -[(del)/(del x) (a_(x) x) vec(i) + (del)/(del_(y)) vec(j) + (del)/(del_(z)) (a_(z) z) vec(k)] = -[a_(x) vec(i) + a_(y) vec(j) + a_(z) vec(k)] = -vec(a)`

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Find the electric field strength vector if the potentail of this field has the form `varphi = ar`, where is a constatn vector, and `r` is the radius vector of point of the field.

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