Reference no: EM13887342

Find a complex potential in the z -plane appropriate to a physical situation in which the half-plane x > 0, y = 0 has zero potential and the half-plane x 0, y = 0 has potential V .
By making the transformation w = a ( z + z ^{- 1} ) / 2, with a real and positive, find the electrostatic potential associated with the half-plane r > a , s = 0 and the half-plane r - a , s = 0 at potentials 0 and V , respectively.