A positive point charge q moves with velocity v straight toward an infinitely large, grounded, ohmic plane.

(a) Find the charge density σ(r) induced on the plane at the moment when the distance between the point charge and the plane is z.

(b) In the ohmic plane, let the resistance of a ring of radius a and thickness da to a radial current be dR = R_S (da/2πa), where R_S is a constant measured in ohms. Show that the rate at which Joule heat is generated in the plane by the moving charge is

Transcribed Image Text:

X σ(r) 0 υ υζ Z 9