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  • Find the magnetic field at the point P in figure. The curved portion is a semicircle connected to two long straight wires. <img alt="" src="https://cdn.entrance360.com/media/upload

Find the magnetic field at the point P in figure. The curved portion is a semicircle connected to two
long straight wires.

Option: 1

\frac{\mu_0 i}{2 r}\left(1+\frac{2}{\pi}\right)


Option: 2

\frac{\mu_0 i}{2 r}\left(\frac{1}{2}+\frac{1}{2\pi}\right)


Option: 3

\frac{\mu_0 i}{2 r}\left(1+\frac{1}{\pi}\right)


Option: 4

\frac{\mu_0 i}{2 r}\left(1+\frac{2}{\pi}\right)


Answers (1)

best_answer

\begin{aligned} & \mathrm{B}_{\mathrm{P}}=\mathrm{B}_1+\mathrm{B}_2 \\ & =\frac{\mu_0 \mathrm{i}}{4 \pi \mathrm{r}}+\frac{\mu_0 \mathrm{i}}{4 \mathrm{r}} \\ & =\frac{\mu_0 \mathrm{i}}{4 \mathrm{r}}\left[\frac{1}{\pi}+1\right] \\ & \mathrm{B}_{\mathrm{P}}=\frac{\mu_0 \mathrm{i}}{2 \mathrm{r}}\left[\frac{1}{2 \pi}+\frac{1}{2}\right] \end{aligned}

Posted by

Divya Prakash Singh

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