Two parallel wires carrying equal currents in opposite directions are placed at x = ±a parallel to y-axis with z = 0. Magnetic field at origin O is B1 and at P (2a, 0, 0) is B2. Then the ratio B1/B2 is
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a
3
b
12
c
13
d
2
answer is A.
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Detailed Solution
Case I: If the currents are in the directions shown in figure, then B→1 =−2 μ02π iak^=−μ0πa k^=magnetic field at OB→2 =μ02π iak^−μ02π i3a k^=magnetic field at P= μ03π iak^∴ B1/B2 = 3Case II: In this case,B→1= μ0iπa k^and B→2 = μ0i3πa iak^∴ B1B2 = 3