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A circular coil of closely wound N terns and radius r carriers a current I. Write the expressions for the following : (i) the magnetic field at its centre (ii) the magnetic moment of this coil

Answer» <html><body><p></p>Solution :(i) At centre `B_(C)=(mu_(<a href="https://interviewquestions.tuteehub.com/tag/0-251616" style="font-weight:bold;" target="_blank" title="Click to know more about 0">0</a>)Ni)/(<a href="https://interviewquestions.tuteehub.com/tag/2r-300472" style="font-weight:bold;" target="_blank" title="Click to know more about 2R">2R</a>).` <br/> Here, current in the coil is anticlockwise and the direction of magnetic field is <a href="https://interviewquestions.tuteehub.com/tag/perpendicular-598789" style="font-weight:bold;" target="_blank" title="Click to know more about PERPENDICULAR">PERPENDICULAR</a> to the plane of coil upward, but if the current in the coil is clockwise, then the direction of magnetic field will be perpendicular to the plane of coil downward. <br/> (ii) The magnetic field <a href="https://interviewquestions.tuteehub.com/tag/due-433472" style="font-weight:bold;" target="_blank" title="Click to know more about DUE">DUE</a> to a circular coil of radius <a href="https://interviewquestions.tuteehub.com/tag/r-611811" style="font-weight:bold;" target="_blank" title="Click to know more about R">R</a>, carrying current I at its centre is <br/> `B=(mu_(0) I)/(2r)` <br/> The direction of magnetic field is perpendicular to plane of coil, directed outward if current is anticlock wise and inward if current is clockwise.</body></html>


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