The unit vectors $\hat{i}, \hat{j},$ and $\hat{k}$ are as shown below. What will be the magnetic field at $O$ in the following figure?

  • A
    $\frac{\mu_0}{4\pi} \frac{i}{a} \left( 2 - \frac{\pi}{2} \right) \hat{j}$
  • B
    $\frac{\mu_0}{4\pi} \frac{i}{a} \left( 2 + \frac{\pi}{2} \right) \hat{j}$
  • C
    $\frac{\mu_0}{4\pi} \frac{i}{a} \left( 2 + \frac{\pi}{2} \right) \hat{i}$
  • D
    $\frac{\mu_0}{4\pi} \frac{i}{a} \left( 2 + \frac{\pi}{2} \right) \hat{k}$

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