A charged particle having a positive charge q approaches a grounded metallic spheres of raidus R with a constant small speed v as shown in figure. In this situation

Options

A. as the charge draws nearer to the surface of the sphere , a current flows into the ground.
B. as the charge draws nearer to the surface of the sphere, a current flows out of the ground into the sphere.
C. as the charged particle draws nearer, the magnitude of the current flowing in the connector joining the shell to the ground increases
D. as the charged particle draws nearer, the magnitude of the current flowing in the connector joining the sphere to the ground decreases.

Answer

A, C

Explanation

a.,c.
`(1)/(4piepsilon_(0))(Q)/(R)+(1)/(4piepsilon_(0))(q)/((R_(0)-vt))=0`
where `R_(0)` is the initial distance of the charged particle.
`Q=(Rq)/(R_(0)-vt)` or `(dQ)/(dt)=i=(Rqv)/((R_(0)-vt)^(2))`