Question
In figure two parallel infinitely long current carrying wires are shown. If resultant magnetic field at point $A$ is zero. Then determine current $I.$ (in $A$)

Answer

Consider the following figure

At point $A$

$B _{1}= B _{2}$

$\frac{\mu_{0} i _{1}}{2 \pi r _{1}}=\frac{\mu_{0} i _{2}}{2 \pi r _{2}}$

$\frac{ i _{1}}{29}=\frac{10}{9}$

$i _{1}=30 A$

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