Calculating the gradient of the potential


A dipole is oriented along the x-axis. The dipole moment is p(=qs).

A) calculate exactly the potential V (relative to infinity) ata location on the x-axis and at a location<0,y,0> on the y axis, by superposition of the individual 1/rcontributions to the potential.

B) what are the approximate values of V at the location inpart (a) if these location are far from the dipole?

C) Using the approximate results of part (b), calculate the gradient of the potential along the x axis, and show that thenegative gradient is equal to the x component Ex of the electricfield.

D) along the y axis , dV/dy = 0. why isn't this equal to themagnitude of the electric field E alonng the y axis?

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Physics: Calculating the gradient of the potential
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