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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