A positively charged particle is at rest on the positive z axis in reference frame S. Reference frame S′ is moving along the positive x axis of S, reference frame ′S″ is moving along the negative x axis, and reference frame S′′ is moving along the positive y axis, all with speed v relative to S. The axes of all the reference frames are oriented the same way, and their origins coincide at instant t = 0, when observers in each reference frame make measurements.

Required:
a. Write expression for the electric field component Ex at the point (x, y,z) in the reference frame S.
b. Write expression for the electric field component Ey at the point (x, y,z) in the reference frame S.
c. Write expression for the electric field component Ez at the point (x, y,z) in the reference frame S.