Five very long, straight wires are bound together to form a small cable. Currents carried by the wires are ${I_1} = 20\,A,$ ${I_2} = - \,6\,A,$ ${I_3} = 12\,A,\,{I_4} = - 7\,A,\,{I_5} = 18\,A.$ The magnetic induction at a distance of $10\, cm$ from the cable is
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(d) ${i_{net}} = 20 - 6 + 12 - 7 + 18 = 37\,A$ so $B = \frac{{{\mu _0}}}{{4\pi }}.\frac{{2i}}{a}$
$ = {10^{ - 7}} \times \frac{{2 \times 37}}{{10 \times {{10}^{ - 2}}}} = 74 \times {10^{ - 6}}\,T = 74\,\mu T$
$ = {10^{ - 7}} \times \frac{{2 \times 37}}{{10 \times {{10}^{ - 2}}}} = 74 \times {10^{ - 6}}\,T = 74\,\mu T$
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