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QJEEM23Phe070: JEE Main 2023 Physics - Class 12 JEEM23Phe070 Solution: Find the magnetic field at the point in figure. The curved…

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

JEE Main 2023 (Online) 1st February Morning Shift Physics - Magnetic Effect of Current Question 70 English

Multiple Choice Options

  • A μ0i2r(12+12π)\frac{\mu_{0} i}{2 r}\left(\frac{1}{2}+\frac{1}{2 \pi}\right)
  • B μoi2r(1+2π)\frac{\mu_{\mathrm{o}} i}{2 r}\left(1+\frac{2}{\pi}\right)
  • C μ0i˙2r(12+1π)\frac{\mu_{0} \dot{i}}{2 r}\left(\frac{1}{2}+\frac{1}{\pi}\right)
  • D μ0i2r(1+1π)\frac{\mu_{0} i}{2 r}\left(1+\frac{1}{\pi}\right)

Step-by-Step Verified Solution

BP=(μ0i4r+μ0i4πr)=μ0i2r(12+12π)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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