Two infinitely long thin straight wires having uniform linear charge densities $2 λ &4 λ$ are arranged parallel to each other at a distance R apart. The intensity at a point midway between them is :-

Question

Two infinitely long thin straight wires having uniform linear charge densities 2 λ &4 λ are arranged parallel to each other at a distance R apart. The intensity at a point midway between them is :-

TestHub · Accepted Answer

E 1 ​ = ( 2 R ​ ) 2 K ( 2 λ ) ​ ⇒ R 8 K λ ​ ​ E 2 ​ = ( R /2 ) 2 K ( 4 λ ) ​ ⇒ R 16 K λ ​ ​ E net ​ = R 8 K λ ​ = R 8 λ ​ ⋅ ( 4 π ϵ 0 ​ 1 ​ ) ​ = π ϵ 0 ​ R 2 λ ​ ​

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