Question: State an expression for the electrostatic potential at a distance r from a single point charge q . What are the fundamental S . I.

State an expression for the electrostatic potential at a distance r from a single point charge q. What are the fundamental S.I. units of electrostatic potential? [2 marks] Consider, next, an arrangement of four point charges, two of charge q and two of charge -q. These are equally spaced around a circular ring of radius a. The pattern is alternating, so that the charges q are at 12 oclock and 6 oclock, while the charges -q are at 3 oclock and 9 oclock. Write an expression for the total electrostatic potential due to this arrangement, at an arbitrary (i.e., general) point of measurement. Be sure to define any variables that you introduce. Continued from Question 3.(b)[3 marks] By taking a Taylor expansion, or otherwise, calculate the leading (first non vanishing) term in the electrostatic potential in the far-field regime, that is at large distances from the centre point of the circular arrangement of charges in 3.(b). Without needing to calculate it explicitly, with what exponent does the electric field magnitude fall off with (large) distance from the centre point? [10 mark

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