# A conducting sphere in an external field.

An electric field is uniform throughout a certain region of space. Its magnitude is $$10~\mbox{V/m}$$. A conducting sphere of radius $$R=1~\mbox{cm}$$ and charge $$Q=1~\mu\mbox{C}$$ is then placed in this region. Determine the magnitude of the electric field at the center of the sphere.

Details and assumptions

• $$k=\frac{1}{4\pi \epsilon_{0}}=9\times 10^{9}~\mbox{N m}^{2}/\mbox{C}^{2}$$
×