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

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

Explanation / Answer

1) The total charge on the inner surface of the small shell is -1q. False

2)   The total charge on the outer surface of the small shell is zero. FALSE

3) The total charge on the inner surface of the large shell is zero.   FALSE

4) The total charge on the outer surface of the large shell is +2q.  TRUE

5) The radial component of the electric field in the region c < r < d is given by +3q/(4??0r2).  FALSE

6) The radial component of the electric field in the region r < a is given by -1q/(4??0r2).   FALSE

7) The radial component of the electric field in the region r > d is given by +3q/(4??0r2).  FALSE

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