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 V/m10~\mbox{V/m}. A conducting sphere of radius R=1 cmR=1~\mbox{cm} and charge Q=1 μCQ=1~\mu\mbox{C} is then placed in this region. Determine the magnitude of the electric field at the center of the sphere.

  • k=14πϵ0=9×109 N m2/C2k=\frac{1}{4\pi \epsilon_{0}}=9\times 10^{9}~\mbox{N m}^{2}/\mbox{C}^{2}
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