Consider two concentric conducting spheres. The outer sphere is hollow and initially has a charge Q, = -9Q deposited on it. The inner sphere is solid and has a charge Q, = +5Q 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 a greater value. It changes from a finite value to zero. O It does not change at all. O It changes from a finite value to a lesser nonzero finite value. (c) Suppose we return to the original conditions in (a), with +5Q 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 willI be on the outer surface of this sphere?

Physics for Scientists and Engineers: Foundations and Connections
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Author:Katz, Debora M.
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Chapter23: Electric Forces
Section: Chapter Questions
Problem 42PQ: Three identical conducting spheres are fixed along a single line. The middle sphere is equidistant...
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Consider two concentric conducting spheres. The outer sphere is hollow and initially has a charge Q, = -9Q deposited on it. The inner sphere is solid and has a charge Q, = +5Q 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 a greater value.
It changes from a finite value to zero.
O It does not change at all.
O It changes from a finite value to a lesser nonzero finite value.
(c) Suppose we return to the original conditions in (a), with +5Q 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 willI be on the outer surface of this sphere?
Transcribed Image Text:Consider two concentric conducting spheres. The outer sphere is hollow and initially has a charge Q, = -9Q deposited on it. The inner sphere is solid and has a charge Q, = +5Q 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 a greater value. It changes from a finite value to zero. O It does not change at all. O It changes from a finite value to a lesser nonzero finite value. (c) Suppose we return to the original conditions in (a), with +5Q 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 willI be on the outer surface of this sphere?
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