A small conducting spherical shell with inner radius a and outer radius b is con
ID: 2285294 • 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 -1q and the outer shell has a total charge of +3q.
Select True or False for the following statements.
(1)The electric field in the region c < r < d is zero.
(2)The total charge on the outer surface of the small shell is zero.
(3)The total charge on the outer surface of the large shell is +2q.
(4)The electric field in the region r > d is zero.
(5)The electric field in the region r < a is zero.
(6)The total charge on the inner surface of the small shell is -1q.
(7)The total charge on the inner surface of the large shell is -4q.
Explanation / Answer
1. True. The electric field in the region c < r < d is zero.
As There is no electric field inside of the shell.
2. False,
as all the charges will move to the outside. hence The total charge on the outer surface of the small shell is ?1q.
3. True, the other +2q will be on the inner surface, so a Gaussian surface in the outer shell has no enclosed charge.
4.False
5. True
as the electric field is zero inside the shell.
6. false
as , all the charges will move to the outside to get as far apart as possible.
7. False