Question 116: Magnetism and Matter

Question

Match List I with List II
List I
(Current configuration)
List II
(Magnitude of Magnetic Field at point O)
A.
I.
${B_0} = {{{\mu _0}I} \over {4\pi r}}[\pi  + 2]$
B.
II.
${B_0} = {{{\mu _0}} \over {4 }}{I \over r}$
C.
III.
${B_0} = {{{\mu _0}I} \over {2\pi r}}[\pi  - 1]$
D.
IV.
${B_0} = {{{\mu _0}I} \over {4\pi r}}[\pi  + 1]$
Choose the correct answer from the options given below :
![](['https://app-content.cdn.examgoal.net/fly/@width/image/1ldvaox69/2a8f6864-604f-42c3-84bf-ca05c4bf7072/8a5a8430-a77a-11ed-9142-710e5a93b11e/file-1ldvaox6b.png?format=png', 'https://app-content.cdn.examgoal.net/fly/@width/image/1ldvapmu6/2c66d65f-b095-4f4d-8788-f5d6a4a60b35/9e2d6fe0-a77a-11ed-a5e3-ff739bca566a/file-1ldvapmu7.png?format=png', 'https://app-content.cdn.examgoal.net/fly/@width/image/1lfc07g2m/9fd0e058-418e-4d5e-bfb2-b7118f705874/1383a3e0-c477-11ed-a474-336d70c335b3/file-1lfc07g2n.png?format=png', 'https://app-content.cdn.examgoal.net/fly/@width/image/1ldvar3r6/7a5a7658-cac2-4518-ba22-35408230a672/c70dea20-a77a-11ed-a5e3-ff739bca566a/file-1ldvar3r7.png?format=png'])

Accepted Answer

$A ightarrow B_{0}=\frac{-\mu_{0} I}{4 \pi r}+\frac{\mu_{0} I}{2 r}-\frac{\mu_{0} I}{4 \pi r}$
$
B_{0}=\frac{\mu_{0} I}{2 \pi r}(\pi-1) \quad A ightarrow 	ext { III }
$
$B ightarrow B_{0}=\frac{\mu_{0} I}{4 \pi r}+\frac{\mu_{0} I}{4 r}+\frac{\mu_{0} I}{4 \pi r}$
$
B_{0}=\frac{\mu_{0} I}{4 \pi r}(\pi+2) \quad B ightarrow I
$
$C ightarrow B_{0}=\frac{\mu_{0} I}{4 \pi r}+\frac{\mu_{0} I}{4 r}+0$
$B_{0}=\frac{\mu_{0} I}{4 \pi r}(\pi+1) \quad \quad \mathrm{C} ightarrow \mathrm{IV}$
D. $ightarrow B_{0}=\frac{\mu_{0} I}{4 r} \quad \quad \mathrm{D} ightarrow \mathrm{II}$

Answer

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

Answer

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

Answer

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

Answer

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

Magnetism and Matter

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