for question27 and 31 in chapter 24. We are given the radius of the sphere. If t

Question

for question27 and 31 in chapter 24. We are given the radius of the sphere. If the Distance for the electric field is less than the distance of the radius of the sphere. is the answer 0?. in question 27 the radius is 14 and the distance is 10, and the answer is 0. Does this mean any value less then radius will give zero as an answer?. In quesion 31 the radius is 40. They ask for distance 0, which makes sense to be zero. then the next distance they ask is 40 which is the radius, so there is an answer. If they would have asked for anything between 0-40 would the answer also be zero?



i am using edition 8 the numbers might be a little off

Explanation / Answer

Gauss's law states that : The electric flux through any closed surface is proportional to the enclosed electric charge. Gauss's law may be expressed as: where is the electric flux through a closed surface S, Q is the total charge enclosed within S, and e0 is the electric constant. The electric flux is defined as a surface integral of the electric field : it is given that the sphere does not enclose any charge .so, if we take any imaginary symmetric spherical surface ( center of this sphere is same as the hollow sphere ) which does not enclose any charge, then from gauss' law the electric flux through it is 0 and hence electric field at any point on this imaginary sphere is 0. therefore at all points inside the sphere, electric field is 0.

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