(i) Two infinitely long line charges each of linear charge density λ are placed at an angle θ as shown in figure. Find out electric field intensity at a point P, which is at a distance x from point O along angle bisector of line charges.
(ii) Repeat the above question if the line charge densities are λ and –λ as shown in figure
Text Solution
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(i) 
; along OP.
(ii) 
; Perpendicular to OP.
Sol. (i)
As shown in figure
E net = 2E sin θ/2 = 2 
= 
along the line OP.
(ii)
As shown in figure
E net = 2 E cos θ/2
2 = 
= 
. sin θ/2. cot θ/2
= 
. 
. cot θ/2
= 
cot θ/2; perpendicular to OP as shown
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