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 -2q and the outer shell has a total charge of +4q

Select True or False for the following statements.
True False The total charge on the inner surface of the large shell is -6q.
True False The total charge on the outer surface of the large shell is +2q.
True False The total charge on the inner surface of the small shell is -6q.
True False The electric field in the region r > d is zero.
True False The electric field in the region r < a is zero.
True False The electric field in the region c < r < d is zero.
True False The total charge on the outer surface of the small shell is -2q.

Explanation / Answer

1 ) The total charge on the inner large shell is -6 q
                 ( False) 2) The total charge on the outer surface of the large shell is +2q.
          ( True) 3) The total charge on the inner surface of the small shell is -6q.
         (False) 4) The electric field in the region r > d is zero.
        ( False) 5) The electric field in the region r < a is zero.         ( True) 6)  The electric field in the region c < r < d is zero.
           (True) 7) The total charge on the outer surface of the small shell is -2q.        ( True)       

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