A small current element of length d ell and c | vedclass

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Question

(c)

$\vec{B}=\frac{\mu_0}{4 \pi} \frac{	imes \vec{r}}{r^3}$ for $B_1 \;\;\vec{r}=(-\hat{i}-\hat{j})$

$	herefore \vec{B}_1=\frac{\mu_0}{4 \pi}

Vedclass · Accepted Answer

$\overrightarrow{ B }_1=-\overrightarrow{ B }_2$

Vedclass · Answer

(c)

$\vec{B}=\frac{\mu_0}{4 \pi} \frac{	imes \vec{r}}{r^3}$ for $B_1 \;\;\vec{r}=(-\hat{i}-\hat{j})$

$	herefore \vec{B}_1=\frac{\mu_0}{4 \pi} \frac{i}{2 \sqrt{2}} \hat{k} 	imes(-\hat{i}-\hat{j}) \ldots .(1)$

for $B_2\;\; \vec{r}=\hat{i}+\hat{j}$

$\vec{B}_2=\frac{\mu_0}{4 \pi} \frac{i \hat{k} 	imes(\hat{i}+\hat{j})}{2 \sqrt{2}} \ldots \ldots(2)$

from (1) and (2)

$\vec{B}_t=-\vec{B}_2$ and $\left|\vec{B}_1ight|=\left|\vec{B}_2ight|$

A small current element of length $d \ell$ and carrying current is placed at $(1,1,0)$ and is carrying current in ' $+ z$ ' direction. If magnetic field at origin be $\overrightarrow{ B }_1$ and at point $(2,2,0)$ be $\overrightarrow{ B }_2$ then

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