Six wires of current \( I_{1}=1 \mathrm{~A}, I_{2}=2 \mathrm{~A}, \mathrm{I}_{3}=3 \mathrm{~A}, ...

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Six wires of current \( I_{1}=1 \mathrm{~A}, I_{2}=2 \mathrm{~A}, \mathrm{I}_{3}=3 \mathrm{~A}, \mathrm{I}_{4}=1 \mathrm{~A}, \mathrm{I}_{5}=5 \mathrm{~A} \) and \( \mathrm{I}_{6}=4 \mathrm{~A} \) cut the page perpendicularly at the points \( 1,2,3,4,5 \) and 6 respectively as shown in the figure. Find the value of the integral \( \oint \overrightarrow{\mathrm{B}} \mathrm{d} \overrightarrow{\mathrm{I}} \) around the closed path.
\( \mathrm{P} \)
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