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Physics-

General

Easy

Question

Two long thin parallel conductors of the shape shown in fig carry direct currents $I subscript 1 end subscript$ and $I subscript 2 end subscript$ . The seperation between the conductors is a, the width of the right-hand conductor is equal to b. With both conductors lying in one plane, find the magnetic interaction force between them reduced to a unit of their length.

$\frac{μ_{0}}{4 π} \frac{I_{1} I_{2}}{a} I n (1 + a / b)$
$\frac{μ_{0}}{4 π} \frac{2 I_{1} I_{2}}{b} I n (1 + b / a)$
$\frac{μ_{0}}{4 π} \frac{I_{1} I_{2}}{b} I n (1 - a / b)$
$\frac{μ_{0}}{4 π} \frac{2 I_{1} I_{2}}{b} I n (1 - b / a)$

The correct answer is: $fraction numerator mu subscript 0 end subscript over denominator 4 pi end fraction fraction numerator 2 I subscript 1 end subscript I subscript 2 end subscript over denominator b end fraction I n invisible function application left parenthesis 1 plus b divided by a right parenthesis$

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