a) Show that for a charge free region, .
Del.E= 0
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electric field in some region of space is zero, it does not imply that there is no charge in that region. From gauss law in its divergence form, E=ε0ρ
If E=0⇒ charge density ρ is 0.
It implies there are equal number of opposite charges present. So, nothing concrete can be said about charges present in that region.
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