Use Gauss\'s law to determine electric fields when the symmetry is spherical. A

Question

Use Gauss's law to determine electric fields when the symmetry is spherical. A spherical conducting shell of inner radius a and outer b carries a total charge + Q distributed on the surface of a conducting shell (figure a). The quantity Q is taken to be positive. (a) Find the electric field in the interior of the conducting shell, for r b. (c) If an additional charge of - 2Q is placed at the center, find the electric field for r > b. (d) What is the distribution of charge on the sphere in part (c)? (a) The electric field inside a uniformity charged spherical shell is zero. It is also zero for the conducting material in the region a b. E = What's the electric field inside the conductor, for a

Explanation / Answer

for objective question , the answers are a and e.

a) E*4r2= 10Q/

E = 10Q / 4r2

b) Electric field indide conductor is always zero.

c) So inner surface will have opposite charge than the charge at centre.

So inner surface = -6Q

Also outer surface+inner surface = 4Q

So outer surface = 10Q

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