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Q.

Equal currents i = 1 A are flowing through the wires parallel  toy-axis located at x = +1 m, x = +2 m, x = +4 m etc. but in opposite directions as shown. The magnetic field at origin (in T) would be

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a

−1.33  ×  107 k^

b

1.33  ×  10−7 k^

c

2.67  ×  10−7 k^

d

−2.67  ×  10−7 k^

answer is B.

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Detailed Solution

B→= μ02π   11  +  14  +  116  +k^−  12+18 +... k^ =μ02π   11-12 k^− 12  11−14k^ = 23 μ02π   k^=  23  ×  2 ×  10−7k^= 1.33  ×  10−7 k^
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Equal currents i = 1 A are flowing through the wires parallel  toy-axis located at x = +1 m, x = +2 m, x = +4 m etc. but in opposite directions as shown. The magnetic field at origin (in T) would be