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Two long parallel wires carry currents i...

Two long parallel wires carry currents in opposite direction as shown. Points A and D lie in the same plane as the wires. The magnetic field at A and D is into the plane of the paper, with intensity `B_(A)` and `B_(D)` respectively. If `(B_(A))/(B_(D))=7/5`, the value of `(I_(1))/(I_(2))` is ____________________.

Text Solution

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The correct Answer is:
3

`B_(A)=(mu_(0))/(2pia)((I_(1))/a+(I_(2))/(2a)), B_(D)=(mu_(0))/(2pia)((I_(1))/(2a)+(I_(2))/a), (B_(A))/(B_(D))=7/5implies(I_(1))/(I_(2))=3`
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