Two charges, +q and -q, are located in the x-y plane at points (0+d/2) and (0,-d/2), respectively. Calculate the magnitude of the electric field at point P with the superposition principle.
Data: q=30.0 nanocoulombs,
d=3.40mm and P at
x=68.0 mm.
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An electric dipole consists of two electric charges of equal magnitude and opposite sign. If the charges are q and −q and are located at a distance d from each other, then the electric field E at the point P in the figure is .
By expanding this expression for E as a series in powers of d/D, show that E is approximately proportional to 1/D3 when P is far away from the dipole.
Three equal positive charges q are at the corners of an equilateral triangle of side a. Assume the three together create an electric field. (a) Sketch the field lines in the plane of the charges. (b) Find the location of one point (other than infinity) where the electric field is zero. What are (c) the magnitude and (d) the direction of the electric field at P (one of the charges q) due to the two other charges?
