1.

If a thin uniform wire of length 1m is bent into an equilateral triangle and carries a current of sqrt3A in anticlockwise direction, find the net magnetic induction at the centroid

Answer»

Solution :`B_("net")=3B_("each side")`
`B_("net")=3(mu_(0))/(4PI)xxI/r(sin60^(@)+sin60^(@))`
`(becauser=a/(2sqrt3))`
`=3XX(mu_(0))/(4pi)I/r(2sin60^(@))=3xx(mu_(0))/(4pi)(I(2sqrt3))/a2xx(SQRT3)/2=18(mu_(0))/(4pi)I/a`
`B=18xx10^(-7)XX(sqrt3)/(1/3)=54sqrt3xx10^(-7)T`


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