Match List I (current configuration) with List II (magnetic field at point $O$ ).
The four configurations $A$ , $B$ , $C$ and $D$ of List I are shown in the figure below.

Question

Match **List I** (current configuration) with **List II** (magnetic field at point $$O$$).

The four configurations $$A$$, $$B$$, $$C$$ and $$D$$ of List I are shown in the figure below.

| List I (Current configuration) | List II (Magnetic field at point $$O$$) |
|---|---|
| (A) Straight wire carrying $$I$$ that makes one **complete circular loop** of radius $$r$$ about $$O$$ before continuing in the same line | (I) $$B_0 = \dfrac{\mu_0 I}{4\pi r}\left[\pi + 2\right]$$ |
| (B) Two long straight wires, a distance $$2r$$ apart, joined at one end by a **semicircular arc** of radius $$r$$ centred…

Accepted Answer

C. A-III, B-I, C-IV, D-II

Answer

A. A-III, B-IV, C-I, D-II

Answer

B. A-I, B-III, C-IV, D-II

Answer

D. A-II, B-I, C-IV, D-III

List I (Current configuration)	List II (Magnetic field at point $O$ )
(A) Straight wire carrying $I$ that makes one complete circular loop of radius $r$ about $O$ before continuing in the same line	(I) $B_0 = \dfrac{\mu_0 I}{4\pi r}\left[\pi + 2\right]$
(B) Two long straight wires, a distance $2r$ apart, joined at one end by a semicircular arc of radius $r$ centred at $O$	(II) $B_0 = \dfrac{\mu_0}{4}\dfrac{I}{r}$
(C) A semicircular arc of radius $r$ about $O$ with one straight lead at perpendicular distance $r$ and the other lying along a line through $O$	(III) $B_0 = \dfrac{\mu_0 I}{2\pi r}\left[\pi - 1\right]$
(D) A semicircular arc of radius $r$ about $O$ with both straight leads lying along the diameter through $O$	(IV) $B_0 = \dfrac{\mu_0 I}{4\pi r}\left[\pi + 1\right]$

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