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

Question

A small spherical conducting 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 harge of +4q.

Select true or false:

the radial component of the electric field in the region c<r<d is given by +4q/(4piEnotrsquared)

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

the electric field in the region r>d is 0

the total charge on the outside of the surface of the small shell is -6q

the electric field in the region r<a is 0

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

the total charge on the inner surface of the large shell is 0

Explanation / Answer

1) false: electric field inside a conducting material =0

2)false : electric field inside the inner shell =0. From gauss law, charge inside a sphere of readius(r) <b = 0

3)False : Net charge=4q-2q= 2q which is not equal to zero. So, from gauss law there is a net electric field

4) False : Since the charge on inner surface of the smaller shell=0 . Outer surface charge= -2q

5) True: Inner surface charge= 2q because, electric field insidethe bigger shell =0 means net charge =0 for c<r<d.

6)False : charge on inner surface=+2q

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