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The magnetic field is zero at mid point of AB and at P as shown |
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Answer» The current is equal in both wires and inside  Since magnetic field at `M` is ZERO. For this `i_(1)=i_(2)=i` and should in same direction. Let  `B_(P)=2B'cos theta` `=2(mu_(0)i)/(2pisqrt((a^(2))/4+x^(2))). x/(SQRT((a^(2))/4+x^(2)))` `=(mu_(0)ix)/(pi((a^(2))/(4) + x^(2)))` For `B_(P)` to be maximum `(dB_(P))/(sx)=0 implies ((a^(2))/4+x^(2)). 1-x. 2x=0` `x=+-a/2` Left of `M:` 
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