Question

show that there can be no net charge in a region in which the electric field is uniform at all points​

Answer 1

Answer:

Explanation:

Since electric field is uniform so it does not change in space. So the divergence of uniform electric field is zero which shows there is no charge.The divergence is non zero at a point where a source or sink exists. Conventionally, positive charges are sources, and negative ones are sinks. A has zero divergence because it cannot possibly have source or sink charges.

Answer 2

The net charge that is enclosed in a region and the electric field flux are equal .The net charge that is inside the enclosed region is said to be divided by Epsilon Nought. This is a law given by Gauss .This gauss's law tells us that electric field in a certain region is a constant So the net charge will be the integration of E And since year is constant the integration of any constant it will give us zero hence the net charge where the electric field is uniform will be zero.