Field at the centre of an arc joined to straight wires or other arcs

1. A.
   $\frac{\mu_{0}I}{4\pi r}(2 - \pi)$
2. B.
   $\frac{\mu_{0}I}{4\pi r}(2 + \pi)$
3. C.
   $\frac{\mu_{0}I}{2\pi r}(2 + \pi)$
4. D.
   $\frac{\mu_{0}I}{2\pi r}(2 - \pi)$

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1. A.
   $1\mu T$
2. B.
   $3\mu T$
3. C.
   $4\mu T$
4. D.
   $6\mu T$

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1. A.
   $\frac{\mu_{0}i}{2r}\left( 1 + \frac{2}{\pi} \right)$
2. B.
   $\frac{\mu_{0}i}{2r}\left( \frac{1}{2} + \frac{1}{2\pi} \right)$
3. C.
   $\frac{\mu_{0}i}{2r}\left( 1 + \frac{1}{\pi} \right)$
4. D.
   $\frac{\mu_{0}i}{2r}\left( \frac{1}{2} + \frac{1}{\pi} \right)$

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1. A.
   $\frac{\mu_{0}}{4\pi}\frac{I}{a}\left\lbrack \frac{\pi}{2} + 1 \right\rbrack$
2. B.
   $\frac{\mu_{0}}{4\pi}\frac{I}{a}\left\lbrack \frac{3\pi}{2} + 1 \right\rbrack$
3. C.
   $\frac{\mu_{0}}{2\pi}\frac{I}{a}\left\lbrack \frac{\pi}{2} + 2 \right\rbrack$
4. D.
   $\frac{\mu_{0}}{4\pi}\frac{I}{a}\left\lbrack \frac{3\pi}{2} + 2 \right\rbrack$

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1. A.
   $\frac{\mu_{0}}{2\pi}\frac{I}{r}(\pi + 1)\widehat{i}$
2. B.
   $- \frac{\mu_{0}}{2\pi}\frac{I}{r}(\pi - 1)\widehat{i}$
3. C.
   $\frac{\mu_{0}}{2\pi}\frac{I}{r}(\pi - 1)\widehat{i}$
4. D.
   $- \frac{\mu_{0}}{2\pi}\frac{I}{r}(\pi + 1)\widehat{i}$

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1. A.
   $\frac{2 + \pi}{1 + \pi}$
2. B.
   $\frac{1 + \pi}{1 - \pi}$
3. C.
   $\frac{2 + \pi}{1 - \pi}$
4. D.
   $\frac{1 + \pi}{2 - \pi}$

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