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 -2q and the outer shell has a total charge of +4q. Select True or False for the following statements. The radial component of the electric field in the region r > d is given by +2q/(4n epsilon_0 r^2). The total charge on the inner surface of the large shell is +2q. The total charge on the inner surface of the small shell is -2q. The electric field in the region r

Explanation / Answer

1. total charge enclosed = -2q + 4q = 2q and whole system will bahave as this charge concentrated at cneter

so it ia true

2. as the inner surface of large shell must have charge equla and oppsite to charge on inner shell so it is true.

3. as the excess charge in a conductor resides on outer surface and inner surface would have zero charge. so it is false.

4. as in region r less than a, there is no net charge so electric filed must be zero. hence it is true

5. true

6. electric field inside conductor is zero so it is true.

7. charge on inner surface of large shell = 2q

so charge on outer surface of outer shell = 4q -2q = 2q

hence is true

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