The earth has a net electric charge. The resulting electric field is, on average, \(150~\mbox{V/m}\) and it is directed toward the center of the earth. What is the magnitude of the Earth's net charge **in Coulombs**? You may assume that the charge is uniformly distributed over the Earth's surface and that the earth is a perfect sphere.

**Details and assumptions**

- \(k=\frac{1}{4\pi \epsilon_{0}}=9\times 10^{9}~\mbox{Nm}^{2}/\mbox{C}^{2}\)
- The radius of the earth is \(6370~\mbox{km}\).

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