Single Choice

The magnetic field t the center $$O$$ of the arc in fig is

A$$ \dfrac { \mu_0 I}{ 4 \pi \times r } [ \sqrt {2} + \pi ] $$
Correct Answer
B$$ \dfrac { \mu I }{ 2 \pi r} [ \dfrac { \pi}{4} + ( \sqrt {2} -1 ) ] $$
C$$ \dfrac { \mu_0}{4 \pi} \times \dfrac {I}{r} [ \sqrt {2} - \pi ] $$
D$$ \dfrac { \mu_0}{4 \pi} \times \dfrac {I}{r} [ \sqrt {2} + \dfrac { \pi}{ 4} ] $$

Solution

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