Question

Find the magnetic induction at point O, if the current carrying wire is in the shape shown in the figure.

• A. $\frac{\mu_{0} \text{I}}{5 \pi \text{r}} \left[\frac{3 \pi }{2} + 1\right] \bigodot$
• B. $\frac{\mu_{0} \text{I}}{3 \pi \text{r}} \left[\frac{4 \pi }{3} + 1\right] \bigodot$
• C. $\frac{\mu _{0} \text{I}}{2 \pi \text{r}} \left[\frac{3 \pi }{4} + 1\right] \bigodot$
• D. $\frac{\mu _{0} \text{I}}{4 \pi \text{r}} \left[\frac{3 \pi }{2} + 1\right] \bigodot$

Answer 1

Answer: (D)

$B_{1}=0\text{,}$
$B_{2}=\frac{\mu _{0}}{4 \pi }\frac{\text{I}}{\text{r}}\times \frac{3 \pi }{2}\bigodot$ ,
$B_{3}=\frac{\mu _{0}}{4 \pi }\frac{\text{I}}{\text{r}}\bigodot$
$B=B_{2}+B_{3}=\frac{\mu _{0} \text{I}}{4 \pi \text{r}}\left[\frac{3 \pi }{2} + 1\right]\bigodot$