1.

For the situation shown in the figure, select the correct statements (s).

Answer»

Potential of the conductor is `q//4piepsilon_0(d+R)`
Potential of the conductor is `q//4piepsilon_0d`
Potential of the conductor cannot be DETERMINED as nature of distribution of induced charges is not known.
Potential at point B due to induced charges is `-qR//4piepsilon_0(d+R)d`

SOLUTION :a.,d.
As no charge is present inside the conductor potential at any point inside the conductor is same as that of the potential or conductor. So, potential of the conductor `=` potential at the center `=V_(q)=V_("induced charges")`
`V_("conductor")=(q)/(4piepsilon_(0)(d+R))+0`
As the total induced charge at conductor's surface is equal zero and HENCE to the potential at center due to the INDUCTOR charge. For point `B`,
`V_("conductor")=V_("at point"B)=V_(q)+V_("induced charges")`
or `V_("induced charges")=(q)/(4piepsilon_(0)(d+R))-(q)/(4piepsilon_(0)d)`
`=(-qR)/(4piepsilon_(0)d(d+R)`


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