# Charge on spherical conductors

Electricity and Magnetism Level 5

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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