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CBSE Class 12-science Answered

please solve the question in the picture.
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Asked by rohitraman1115 | 13 Jan, 2019, 01:04: PM
answered-by-expert Expert Answer
Torque τ acting on a coil is given by
begin mathsize 12px style stack tau space space space with rightwards arrow on top space equals space stack mu space with rightwards arrow on top space bold cross times stack bold B bold space with bold rightwards arrow on top bold space............. left parenthesis 1 right parenthesis bold space end style
where μ is magnetic moment of the coil = N×I×πr², N is number of turns, I is current passing through the coil and r is the radius.
Since the coil is in xy-plane, magnetic moment vector is in z-axis.
 
begin mathsize 12px style tau space equals space open vertical bar table row i j k row 0 0 cell N I πr squared end cell row cell B subscript x end cell cell B subscript y end cell cell B subscript z end cell end table close vertical bar space equals space i with hat on top space open parentheses negative B subscript y N I πr squared close parentheses space minus j with hat on top open parentheses negative B subscript x N space I space πr squared close parentheses space equals space N space I space πr squared open parentheses negative B subscript y space space i with hat on top space plus space B subscript x space j with hat on top space close parentheses end style
Answered by Thiyagarajan K | 13 Jan, 2019, 01:55: PM

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