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Please solve

Asked by Arushi Juyal 13th December 2017, 7:17 AM
Answered by Expert
Answer:
Current in the loop is clockwise direction. Hence if we face the loop that has the current flowing in clockwise direction, magnetic field is perpendicular to the loop in the direction away from us. Magnetic moment M of the loop is Area multiplied by Current. Hence begin mathsize 12px style open vertical bar bold italic M close vertical bar end style = 100 × 10-4 × 10 A-m2 = 0.1A-m2 .
 
 
Top view (viewing from y-direction ) is shown in the figure. If we resolve the normal unit vector along x and Y direction we will get
 
begin mathsize 12px style n with overbrace on top space equals space fraction numerator i with overbrace on top over denominator 2 end fraction minus fraction numerator square root of 3 k with overbrace on top over denominator 2 end fraction end style
hence magnetic moment begin mathsize 12px style M with rightwards arrow on top space equals space 0.1 cross times open parentheses fraction numerator i with overbrace on top over denominator 2 end fraction space minus space fraction numerator square root of 3 k with overbrace on top over denominator 2 end fraction close parentheses space equals space 0.05 cross times open parentheses i with overbrace on top space minus space square root of 3 k with overbrace on top close parentheses end style

  
Answered by Expert 14th December 2017, 12:57 PM
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