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  • A current i Ampere flows in a circular arc of wire whose radius is R.which subtends an angle <img alt="\frac{3\pi}{2}" src="http://entrancecorner.oncodecogs.com/gif.latex?%5Cfrac%7B3%5Cpi%7D%7

A current i Ampere flows in a circular arc of wire whose radius is R.which subtends an angle \frac{3\pi}{2} radian at centre. The magnetic field induction at centre is

Option: 1

\frac{\mu _{0}i}{r}


Option: 2

\frac{\mu _{0}i}{2R}


Option: 3

\frac{2\mu _{0}i}{R}


Option: 4

\frac{3}{8}\frac{\mu _{0}i}{R}


Answers (1)

best_answer

As we learned

Magnetic field due to three-quarter Semicircular Current-Carrying arc -

B=\frac{\mu_{o}}{4\pi}\:\frac{(2\pi-\frac{\pi}{2})i}{r}

 

 B= \frac{\mu _0}{4\pi}\times\left ( \frac{2\pi -\pi/2}{R} \right )i= \frac{3}{8}\frac{\mu _{0}i}{R}

Posted by

Pankaj

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