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A small conducting spherical shell with inner radius a and outer radius b is con

ID: 1328272 • Letter: A

Question

A small conducting spherical shell with inner radius a and outer radius b is concentric with a larger conducting spherical shell with inner radius c and outer radius d. The inner shell has a total charge of -2q and the outer shell has a total charge of +3q.

Select True or False for the following statements.
True False  The total charge on the outer surface of the small shell is zero.
True False  The total charge on the inner surface of the large shell is +2q.
True False  The total charge on the inner surface of the small shell is -5q.
True False  The radial component of the electric field in the region r < a is given by +1q/(4??0r2).
True False  The total charge on the outer surface of the large shell is +1q.
True False  The radial component of the electric field in the region r > d is given by +3q/(4??0r2).
True False  The electric field in the region c < r < d is zero.

Explanation / Answer

False total charge on the outersurface of the small shell Q = +2q

False because total charge on the innersurface of the large shell Q = q

False total charge on the inner surface ofthe small shell is zero

False if r<a then theelectric field is zero because no charge enclosed  within the radius

True total charge on the  outer surfaceof the large shell Q = -2q+ 3q = + 1q

false when r>d then   E= (1/4o) q /r2

True if c < r <d then the electric field is E = 0 because no chargeenclosed in the sphere