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

Question

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

Infinity Learn · Accepted Answer

Case I: If the currents are in the directions shown in figure, then B→$$1$$ $$=$$−$$2$$ μ$$02$$π  $$iak^=$$−μ$$0$$$$π$$a $$k^=magnetic$$  field at OB→$$2$$ $$=$$μ$$02$$π  $$iak^$$−μ$$02$$π $$i3a$$ $$k^=magnetic$$  field at $$P=$$  μ$$03$$π  $$iak^$$∴    $$B1/B2$$ $$=$$ $$3Case$$ II: In this case,B→$$1=$$  μ$$0i$$$$π$$a  $$k^and$$    B→$$2$$ $$=$$ μ$$0i3$$$$π$$a  $$iak^$$∴    $$B1B2$$ $$=$$ $$3$$

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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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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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