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An infinitely long straight conductor lies along z-axis and it is carrying a current in the positive z-axis. Then unit vector along the magnetic induction vector at point P (1, 1, 0) is

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$\frac{1}{\sqrt{2}} (\hat{i} - \hat{j})$

$\frac{1}{\sqrt{2}} (\hat{j} - \hat{i})$

$\frac{1}{\sqrt{3}} (\hat{i} + \hat{j} + \hat{k})$

$\frac{1}{\sqrt{2}} (\hat{i} + \hat{j})$

answer is B.

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Detailed Solution

The magnetic induction vector at P is $(- \cos 45^{0} \hat{i} + \sin 45^{0} \hat{j}) i . e . \frac{1}{\sqrt{2}} (- \hat{i} + \hat{j})$ .

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