Four point charges are placed at the four vertices of a square (the side length is d). The two charges on the left are negatively charged, while the two charges on the right are positively charged. The quantity of charge carried by each charge is Q. a) Set up an appropriate coordinate system and write down the electric potential at an arbitrary point (x, y, z). b) Suppose x, y, z » d, simplify the expression for the electric potential to show that the potential at far field resembles the potential of a dipole. + +
Four point charges are placed at the four vertices of a square (the side length is d). The two charges on the left are negatively charged, while the two charges on the right are positively charged. The quantity of charge carried by each charge is Q. a) Set up an appropriate coordinate system and write down the electric potential at an arbitrary point (x, y, z). b) Suppose x, y, z » d, simplify the expression for the electric potential to show that the potential at far field resembles the potential of a dipole. + +
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Transcribed Image Text:Four point charges are
placed at the four vertices of a square (the side length is d). The two charges on the left are
negatively charged, while the two charges on the right are positively charged. The quantity of
charge carried by each charge is Q.
a) Set up an appropriate coordinate system and write down the electric potential at an arbitrary
point (x, y, z).
b) Suppose x, y, z » d, simplify the expression for the electric potential to show that the
potential at far field resembles the potential of a dipole.
+
d
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