Question icon
Grade 12Magnetism

18 question .find magnetic field at centre of regular polygon having n number of sides and each side of polygon has length a such that current is flowing?~~

Question image for 18 question .find magnetic field at centre of regu
Profile image of arun
8 Years agoGrade 12
Answers icon

1 Answer

Profile image of Nitesh
8 Years ago
A polygon which have n shaped is likely to be a circle Assume a n side polygon is hexagon whose two diagonal makes 2π/4 so n side polygon has angle 2π/n.Make a straight line from centre to side perpendicularly which bisects 2π/n in 2parts of π/n.And half of its diagonal is R .so perpendiculare bisector length is Rcosπ/n.By using formula of magnetic field by straight wire the m.f(magnetic field) by only one side is dB=(u0* I (sinπ/n+sinπ/n))/2πRcosπ/n dB=(u0*I *sinπ/n)/πRcosπ/nM.F by n sides dB*n="(u0*I * sinπ/n)n/πRcosπ/n."=u0ni* tan(π/n)/πa.From my side this if you he new than edit it.