A single current carrying loop of wire carrying current I flowing in… | JEE Main 2023 (29 Jan, Shift 1)

Q64JEE Main 2023 · 29 JAN · SHIFT 1Difficult

Biot-Savart Law & Circular Coils

A single current carrying loop of wire carrying current I flowing in anticlockwise direction seen from +ve $z$ direction and lying in $xy$ plane is shown in figure. The plot of $\hat{j}$ component of magnetic field (By) at a distance ' $a$ ' (less than radius of the coil) and on $yz$ plane vs $z$ coordinate looks like

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Answer: (d)

On the line $x = 0$ , $y = a$ , $B_y$ is the radial (sideways) component of the loop's field.
At $z = 0$ (plane of the loop) the field inside the loop is purely along $z$ , so $B_y = 0$ .
The field is along $+z$ ; field lines spread outwards above the loop ( $B_y > 0$ for $z > 0$ ) and converge below it ( $B_y < 0$ for $z < 0$ ), and $B_y \to 0$ far away.
So $B_y$ is an odd function of $z$ with a positive peak for $z > 0$ : answer (d).

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