JEE (Advanced) 2018 Paper-1 Question 5

Question 5

Two infinitely long straight wires lie in the ๐‘ฅ๐‘ฆ-plane along the lines ๐‘ฅ =$$ \pm $$๐‘…. The wire located at ๐‘ฅ = $$ \pm $$๐‘… carries a constant current $$I_{1}$$ and the wire located at ๐‘ฅ = โˆ’๐‘… carries a constant current $$I_{2}$$. A circular loop of radius ๐‘… is suspended with its centre at (0, 0, $$\sqrt{3R}$$) and in a plane parallel to the ๐‘ฅ๐‘ฆ-plane. This loop carries a constant current ๐ผ in the clockwise direction as seen from above the loop. The current in the wire is taken to be positive if it is in the +$$\hat{J}$$ direction. Which of the following statements regarding the magnetic field $$\overrightarrow{B}$$ is (are) true?

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