Calculating Electric Potential on a Conducting Sphere with a Point Charge

[Phhysics Lover]

A point charge q is placed at a distance 2r from center O of a conducting charged sphere of radius r .Due to the induced charges on the sphere ,find electric potential at point P on surface of sphere [if Kq/r=18V]

I tried this
at point P
V_net=V_induced+V_charge
now V_charge=kq/3r
but I cannot find way to calculate V_net to find V_inducedAssume a uncharged sphere of radius r and a charge q is kept at distance 2r from center and P is point diametrically opposite to q See second image

 

[haruspex]

Consider an element of induced charge q_i on the sphere. Where might it be located? What is its contribution to the potential at the centre of the sphere? What is the total contribution of all such induced charge to the potential at the centre of the sphere?

 

[rude man]

Consider an element of induced charge q_i on the sphere. Where might it be located? What is its contribution to the potential at the centre of the sphere? What is the total contribution of all such induced charge to the potential at the centre of the sphere?

We need the potential on the surface, not the center, of the sphere.
Only way I know of approaching this problem is via imaging. Are you (the OP) familiar with that technique?

 

[haruspex]

We need the potential on the surface, not the center, of the sphere.

It's a conductor, no internal charges, and OP is first trying to find V_net at P.