In the figure represents the homogeneous electric charge density on the bar whose thickness is neglected. Using the other information given in the figure, find the electric potential created by the electric charge on the rod at any P point on the ? axis of the coordinate system as a function of the distance ? of the P point to the origin. Show that the gradient of this potential gives the electric field to be created by the rod at the same point.

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In the figure represents the homogeneous electric charge density on the bar whose thickness is neglected. Using the other information given in the figure, find the electric potential created by the electric charge on the rod at any P point on the ? axis of the coordinate system as a function of the distance ? of the P point to the origin. Show that the gradient of this potential gives the electric field to be created by the rod at the same point.

y
P
y
L
X.
Transcribed Image Text:y P y L X.
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