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the effective radius of circle is r and no. of turns is n.the current in it is i ampere .the work done in rotating coil by 180degree in an external field B will be

the effective radius of circle is r and no. of turns is n.the current in it is i ampere .the work done in rotating coil by 180degree in an external field B will be

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1 Answers

Arun
25750 Points
4 years ago
The effective radius of a circular coil is R and number of turns is N. The current through it is i ampere. The work done is rotating the coil from angle 0° to 180° in an external magnetic field B will be -
solution : first of all, find magnetic moment of circular coil. 
magnetic moment, M = ANI
where A is area of circular coil, i.e., A = πR².
N is number of turns and I is current through wire. 
so, magnetic moment, M = πR²Ni 
given, magnetic field intensity is B 
we know, workdone is rotating a coil from α to β in external magnetic field B is given by, W = MB(cosα - cosβ) 
given, α = 0° and β = 180° 
so, workdone , W = πR²NiB(cos0° - cos180°)
= πR²NiB(1 + 1) = 2πR²NiB
 

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