What Does A Charged Sphere Do In An Electric 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.

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