# Charge on spherical conductors

We have a spherical conductor of radius $R$ placed at origin of cartesian co-ordinate system.

Now an electric field $\vec{E} = {E}_{0} \hat{i}$ is switched on.

Find the net charge in columb on the part of sphere lying in the region $x \ge 0$

Details and assumptions:

${E}_{0} = 10^{9} \text{ V/m} , R= 6 \text{ m} , \frac{1}{4\pi {\epsilon}_{0}} = 9 \times 10^{9}$

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