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(D) The magnitude of the magnetic field due to a long straight wire at a distance $r$ is given by $B = \frac{\mu_0 i}{2\pi r}$.For point $D$,the dista

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Both $(A)$ and $(B)$

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(D) The magnitude of the magnetic field due to a long straight wire at a distance $r$ is given by $B = \frac{\mu_0 i}{2\pi r}$.For point $D$,the distance from the $x$-axis is $r = \sqrt{1^2 + 1^2} = \sqrt{2}$ units (assuming unit distance from axes).Thus,the magnitude is $B = \frac{\mu_0 i}{2\pi \sqrt{2}}$.Since the point $D$ lies in the plane defined by the wire and the radial vector,the magnetic field vector is perpendicular to the radial vector. Given the geometry of the coordinate system,the magnetic field at $D$ makes an angle of $45^\circ$ with the $xy$-plane.Therefore,both statements $(A)$ and $(B)$ are correct.

In the previous question,if the current is $i$ and the magnetic field at $D$ has magnitude $B$,

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