JEE MAIN - Physics (2023 - 1st February Morning Shift - No. 5)
Find the magnetic field at the point $$\mathrm{P}$$ in figure. The curved portion is a semicircle connected to two long straight wires.
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$$\frac{\mu_{0} i}{2 r}\left(\frac{1}{2}+\frac{1}{2 \pi}\right)$$
$$\frac{\mu_{\mathrm{o}} i}{2 r}\left(1+\frac{2}{\pi}\right)$$
$$\frac{\mu_{0} \dot{i}}{2 r}\left(\frac{1}{2}+\frac{1}{\pi}\right)$$
$$\frac{\mu_{0} i}{2 r}\left(1+\frac{1}{\pi}\right)$$
Explanation
$$
B_{\mathrm{P}}=\left(\frac{\mu_0 i}{4 r}+\frac{\mu_0 i}{4 \pi r}\right)=\frac{\mu_0 i}{2 r}\left(\frac{1}{2}+\frac{1}{2 \pi}\right)
$$
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