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

ID: 2273453 • 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 +4q.

Select True or False for the following statements.

1. The radial component of the electric field in the region r > d is given by +2q/(4??0r2).

2. The radial component of the electric field in the region c < r < d is given by -2q/(4??0r2).

3. The total charge on the outer surface of the large shell is +2q.

4. The total charge on the inner surface of the large shell is +2q.

5. The total charge on the outer surface of the small shell is zero.

6. The radial component of the electric field in the region r < a is given by -2q/(4??0r2).

7. The total charge on the inner surface of the small shell is -2q.

Explanation / Answer

1) true total charge r>d = (4-2)q

2)false electric field inside conductor is 0

3)true due to induction of charges +2q

4)true due to induction

5)false

6)false total charge enclosed is 0

7)false charges tend to occupy larger surfaces