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MHT CET · Physics · Magnetic Effects of Current

A straight wire carrying current 'I' is bent into a semi-circular arc of radius \({ }^{\prime} \mathrm{r}^{\prime}\), as shown. The magnitude of magnetic field at point '0' due to semi-circular arc is \(\left(\mu_{0}=\right.\) Permeability of free space)

  1. A \(\frac{\mu_{0} \text { I }}{4 \mathrm{r}}\)
  2. B \(\frac{\mu_{0} \mathrm{I}}{2 \mathrm{r}}\)
  3. C \(\frac{\mu_{0} \mathrm{I}}{\mathrm{r}^{2}}\)
  4. D \(\frac{\mu_{0} \mathrm{I}}{\mathrm{r}}\)
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Answer & Solution

Correct Answer

(A) \(\frac{\mu_{0} \text { I }}{4 \mathrm{r}}\)

Step-by-step Solution

Detailed explanation

\(B=\frac{\mu_{0} I}{4 r}\)
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