A small conducting spherical shell with inner radius a and outer radius b is con
ID: 1531408 • 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 total charge on the inner surface of the large shell is +1q.
2) The total charge on the inner surface of the small shell is -1q.
3) The electric field in the region c < r < d is zero.
4) The radial component of the electric field in the region r > d is given by +3q/(40r2).
5) The total charge on the outer surface of the small shell is -4q.
6) The total charge on the outer surface of the large shell is +2q.
7) The radial component of the electric field in the region r < a is given by -1q/(40r2).
Explanation / Answer
total charge on inner shell, q1=-1q
total charge on outer shell, q2=+3q
1)
true,
because, total charge on the inner surface of the large shell is +1q
2)
false,
because, total charge on the inner surface of the small shell is q=0
3)
true,
because, the electric field is zero inside the conductor
4)
false,
because, the total electric field is E=2q/(4pi*eo*r^2)
5)
false,
because, the total charge on the outer surface of the small shell is -1q
6)
true,
because, the total charge on the outer surface of the large shell is q=+2q
7)
false,
because, the electric field is zero inside the conductor