Metallic solid sphere

Electricity and Magnetism Level 2

A metallic solid sphere with radius R is given the charge $Q.$ If $r$ denotes the distance from the center of the sphere, which of the following statements is true?

The electric field is not perpendicular to the surface of the sphere. The charge Q is not on the outer surface of the sphere. The electric filed is given by

\dfrac{Q}{2\pi\varepsilon_{0}r^{2}}

for

r>R.

The electric field is zero for 0 < r < R.

1 solution

Chew-Seong Cheong
Aug 6, 2014

Charge stays on the surface of a conductor sphere, therefore the electric field within the sphere is 0 (the answer). Due to the symmetry, the electric field lines are perpendicular to the sphere surface and its magnitude is given by: $E=\dfrac{Q}{4\pi\epsilon_0 r^2}$ for $r>R$ .

According to my knowledge it is inversely proportional to the square of r

Aryan Pandey - 3 years, 1 month ago

Yes, you are right.

Chew-Seong Cheong - 3 years, 1 month ago

Metallic solid sphere

1 solution

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