Two mutually perpendicular infinitely long straight conductors carrying uniformly distributed charges of linear densities \lambda_1 \and \lambda_2 are positioned at a distance r from each other. Force between the conductors depends on r as

KVPY SX SB Exam 2018 Question Paper

Question : 99 of 120

Marks: +1, -0

Two mutually perpendicular infinitely long straight conductors carrying uniformly distributed charges of linear densities

λ_1 \and λ_2

are positioned at a distance r from each other.

Force between the conductors depends on r as

Solution:

dF_\Net = 2dF \cos θ

= 4Kλ_1 λ_2r/(r^2+x^2)dx

F_\Net =∫↖{∞}↙{0} 4Kλ_1 λ_2r/(r^2+x^2)dx

Solving

\t\ F_\Net ∝ r^0

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