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In the figure shown two infinitely long ...

In the figure shown two infinitely long parallel straight current carry wires are spearated by a distance d. the current in each wire is I. Points A and B are in the plane of the wires. Find the ratio of the magnetic field `B_(A)` A and `B_(b)` at B.

Text Solution

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`B_(A) = [mu_(0) i//2 pi (d//2)] + [mu_(0)i//2 pi (d//2)]`
`B_(A) = 2 [mu_(0)i//pi d]`
`B_(B) = [mu_(0) i//4 pi d] - [mu_(0)i//2 pi d]`
`implies B_(B) = [mu_(0)i//4 pi d]`
`B_(A)//B_(B) = 2[mu_(0)i// pi d]//[mu_(0) i//4 pi d] = 8`
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Knowledge Check

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