2 charged metal spheres of radii R and 2R teemporarily placed in contact and then seperated.At the surface of each which sphere has the greater value of tha following:a.charge b.charge density c.potential d.electric field
As the two spheres were kept in contact earlier, the potential on the surfaces of the two would be same, even after separation.
So, by using the above we can deduce that
V (bigger sphere) = V' (smaller sphere)
or
kq/R = kq'/r
now, as R> r, we get
the charges
q > q'
so, charge density
σ < σ'
and finally
as E = kq/R2 and E' = kq'/r2
so,
E > E'
(a) charge on bigger sphere is greater
(b) charge density of smaller sphere is greater
(c) potential is same for both
(d) electric field is greater for the bigger sphere