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.
The total charge on the outer surface of the large shell is +2q.
The electric field in the region r > d is zero.
The total charge on the inner surface of the small shell is -4q.
The electric field in the region c < r < d is zero.
The total charge on the inner surface of the large shell is zero.
The total charge on the outer surface of the small shell is -1q.
The electric field in the region r < a is zero.

Explanation / Answer

1. T . As the charge on inner sphere is -1q the charge on inner surface of outer sphere would be +1q and thus the remaining +2q on its outer surface. 2. T . As there is no surface. 3. F. It would be 0. 4. F. 5. T. 6. T. 7. T. As there is no surface inside.

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