Electric Charges and Fields

Question

Show that electric field due to line charge at any plane is same in magnitude and directed radially upward.

Answer

Consider a thin long straight line L of charge having uniform linear charge density λ (as shown in fig.)

The direction of Electric field from point O of the line charge is directed radially outwards.
By symmetry, it follows that electric field due to line charge at distance r in any plane is same in magnitude and directed radially upward. 


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