Figure P25.54 shows three charge distributions. In A, a particle carrying a charge \(+q\) is located a distance \(R\) from the origin. In B, \(+q\) charge is spread uniformly over a semicircle of radius \(R\) centered at the origin. In \(\mathrm{C},+q\) charge is spread uniformly over a circle of radius \(R\) centered at the origin. Rank these distributions in terms of (a) the electric field magnitude at the origin, smallest first, and \((b)\) the electrostatic potential at the origin, smallest first. (c) Using infinity as the location where the electrostatic potential is zero, write an expression for the electrostatic potential at the origin in distribution B.

Data from Figure P25.54

Transcribed Image Text:

distribution A distribution B distribution C R +9 x R +q x R +9 x