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

ID: 1999250 • 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 +3q.

Select True or False for the following statements.

1) The electric field in the region r < a is zero.

2) The radial component of the electric field in the region c < r < d is given by +3q/(4??0r2).

3)The total charge on the inner surface of the large shell is zero.

4)The electric field in the region r > d is zero.

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

6)The total charge on the outer surface of the large shell is +1q.

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

Use Gauss's Law.

Explanation / Answer

the factis that inside a conductor the electric field is zero

part 1 - true because net inclose charge is zero so by gauss law E is 0

2-false beacuse inside the cponducor eletric field is zero as i noted above

3-

4-false it exist and equal to +q/(40r2)

5-flase it is -q beacuse net charge is 3q-2q=q so let q is on center so -q will induced on inner surface to make elecric field zero beause lectric field doesnot exist inside

6-true

7-true