Figure shows, in cross section, several conductors that carry curre...

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Figure shows, in cross section, several conductors that carry currents through the plane of figure. The currents have magnitude \( \mathrm{I}_{1}=4.0 \mathrm{~A}, \mathrm{I}_{2}=2.0 \mathrm{~A} \) and \( I_{3}=2.0 \mathrm{~A} \) in direction shown in figure. Find the value of line integral \( \int \vec{B} \cdot d \vec{l} \) along the given loop
(1) \( -5 \times 10^{-6} \mathrm{Tm} \)
(2) \( 2.5 \times 10^{-6} \mathrm{Tm} \)
(3) 0
(4) \( 5 \times 10^{-6} \mathrm{Tm} \)
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