Consider two spherical infinitely thin conducting surfaces (= ∞o) with the same center. The cross sectionof this configuration is shown below. The inner sphere (radius a) has a total negative charge of -Q. Theouter sphere (radius b) has a positive charge with unknown amount.Assume the electric potential at the center is Vo (Vo > 0) and at infinity is zero. Also, assume free-spacepermittivity in all regions.(a) Find the electric potential V(R) at the distance R from the center for 0 < R < b.(b) Find the amount of positive charge on the outer sphere.Hint: The integral form of Gauss' Law is your best friend! Also you may pay close attention to thenet charge.

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