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 +4q.

Select True or False for the following statements.
True False  The total charge on the outer surface of the large shell is +3q.
True False  The electric field in the region r > d is zero.
True False  The radial component of the electric field in the region r < a is given by +3q/(4??0r2).
True False  The total charge on the outer surface of the small shell is zero.
True False  The electric field in the region c < r < d is zero.
True False  The total charge on the inner surface of the large shell is -5q.
True False  The total charge on the inner surface of the small shell is zero.

Explanation / Answer

1) since inside the larger sphere E = 0

so qenc = 0, so qinner = +q

so qouter + qinner = 4 q

so qouter = 3q so True

2) r>d qenc = 3q, so E is not zero

False

3) r<a is inside conducting sphere so qenc = 0 so E = 0

so False

4) no it is -1 q, so False

5) c<r<d is inside conducting shell so E = 0 so True

6) qinner = +q so False

6)

qenc = 0 inside so qinner = 0

so True

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects