The unit vectors i , j and k are as shown below. What will be the magnetic field at O in…

Physics · JEE Advanced · NTA ExamsMagnetic Effects of Current and Magnetism

The unit vectors \(\hat{\mathrm{i}}, \hat{\mathrm{j}}\) and \(\hat{\mathrm{k}}\) are as shown below. What will be the magnetic field at O in the following figure
  1. \(\frac{\mu_{0}}{4 \pi} \frac{\mathrm{i}}{\mathrm{a}}\left(2-\frac{\pi}{2}\right) \hat{\mathrm{j}}\)
  2. \(\frac{\mu_{0}}{4 \pi} \frac{\mathrm{i}}{\mathrm{a}}\left(2+\frac{\pi}{2}\right) \hat{\mathrm{j}}\)
  3. \(\frac{\mu_{0}}{4 \pi} \frac{\mathrm{i}}{\mathrm{a}}\left(2+\frac{\pi}{2}\right) \hat{\mathrm{i}}\)
  4. \(\frac{\mu_{0}}{4 \pi} \frac{\mathrm{i}}{\mathrm{a}}\left(2+\frac{\pi}{2}\right) \hat{\mathrm{k}}\)

Answer

(D) _ 0 4 i a (2+ 2 ) k

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