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

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A thin rod extends along the x-axis from x = −a to x = a . The rod carries a positive charge +Q uniformly distributed along its length 2a with charge density λ, as shown in Figure attached. a) Use dV = 1/4πε0 ∫ dq/r to show that the electric potential at point P is given by: V(x) = (λ/4πε0) ln(x + a/x − a) b) What is the electric potential of the rod at x = 4a and x = 2a? c) What is the electric potential difference between x = 4a and x = 2a?
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