Consider two concentric conducting spheres. The outer sphere is hollow and initi

Question

Consider two concentric conducting spheres. The outer sphere is hollow and initially has a charge Qi- 9Q deposited on it. The inner sphere is solid and has a charge 223 on it. (a) How much charge is on the outer surface? How much charge is on the inner surface? (b) Suppose a wire is connected between the inner and outer spheres. Electrostatic equilibrium is established. How much charge is on the outer surface of the outside sphere? How much is on the inner surface? Q How, if at all, does the electric field at the surface of the inside sphere change when the wire is connected? O It changes from a finite value to zero. O It changes from a finite value to a greater value. O It does not change at all It changes from a finite value to a lesser nonzero finite value. (c) Suppose we return to the original conditions in (a), with +3Q on the inner sphere and-9Q on the outer. We now connect the outer sphere to ground with a wire and then disconnect it. How much total charge will be on the outer sphere? How much charge will be on the inner surface of the outer sphere? How much will be on the outer surface of this sphere? eBook

Explanation / Answer

From the given question,

a) charge on outer surface(of outer sphere)= -6 Q

charge on inner surface(of outer sphere) = -3C

b) If wire is connected,

charge on outer surface(of outer spheer)= -6 Q

charge on inner surface (of outersphere)=0 Q

Electric field of surface of inner sphere changes from finite value to zero.

c)total charge on outer sphere= -3 Q

charge on inner surface of outer sphere= -3 Q

charge on outer surface of outer sphere= 0 Q

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