Electric Field Due to a Line of Charge Not on Its Axis
Find the net ...
Question
Find the net electric field due to a finite wire of linear charge density +λC/m at a point P located at a perpendicular distance d as shown in the figure.
[K=14πε0]
A
√2Kλd
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B
2√2Kλd
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C
Kλ√2d
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D
12√2Kλd
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Solution
The correct option is A√2Kλd
We know that electric field intensity (Eperp) perpendicular to the uniformly charged wire at distance d is,
Eperp=Kλd[sinθ1+sinθ2]
According to problem,
θ1=30∘ and θ2=60∘
Substituting the values in the above equation, we get
Eperp=Kλd[sin30∘+sin60∘]
⇒Eperp=Kλd[12+√32]
⇒Eperp=Kλd[√3+12]
Electric field intensity (Epara) parallel to the uniformly charged wire at distance d is,