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