Two positively charged infinitely long wires λ1>λ2 are placed parallel to each other at x=−a and x=+a and as in figure. Find the x- coordinate of a point at which electric field is zero.

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λ1λ2 a

λ2λ1a

λ1−λ2λ1+λ2a

λ1+λ2λ1−λ2

answer is C.

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Detailed Solution

Let coordinates of P are (x,0)the distance of P from wire 1 = (a + x) and from wire 2 = (a - x)∵E1=E2 ∴2kλ1(a+x)=2kλ2(a−x)⇒λ1(a−x)=λ2(a+x)⇒λ1a−λ1x=λ2a+λ2x⇒λ1−λ2a=λ1+λ2x⇒x=λ1−λ2aλ1+λ2

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