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CBSE Class 12-science Answered

A rectangular loop of wire of size 4 cm × 10 cm carries a steady current of 2 A. A straight long wire carrying 5 A current is kept near the loop as shown. If the loop and the wire are coplanar, find
Asked by Topperlearning User | 28 Apr, 2015, 02:12: PM
answered-by-expert Expert Answer

FAB and FDC are equal and opposite so they will cancel each other.

rightwards double arrow       begin mathsize 11px style straight F subscript AD equals fraction numerator straight mu subscript straight o straight I subscript straight a straight I subscript straight b over denominator 2 straight pi space straight x space straight d end fraction cross times space straight L space equals space fraction numerator 2 space cross times space 10 to the power of negative 7 end exponent space cross times space 5 space cross times space 2 space cross times space left parenthesis 10 space cross times space 10 to the power of negative 2 end exponent right parenthesis over denominator open parentheses 1 space cross times space 10 to the power of negative 2 end exponent close parentheses end fraction end style

rightwards double arrow    begin mathsize 11px style straight F subscript BC equals space fraction numerator open parentheses 2 space cross times space 10 to the power of negative 7 end exponent close parentheses space cross times space 5 space cross times space 2 space cross times space open parentheses 10 space cross times space 10 to the power of negative 2 end exponent close parentheses over denominator open parentheses 1 space plus space 4 close parentheses space cross times space 10 to the power of negative 2 end exponent end fraction end style

               = 4 x 10-6 N (towards right)

rightwards double arrow Torque will be zero as all the forces are in the plane of loop.

Answered by | 28 Apr, 2015, 04:12: PM

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