Answer :

Given:


Radius of circular arc(r) = 10 cm = 0.1 m


Current carried by it(i) = 6 A


Angle subtended at the center = 1200


Formula used:


Magnetic field at the center of a circular arc,



Where


μ0 = magnetic permeability of vacuum = 4π x 10-7 kg m s-2 A-2,


i = current carried by the wire,


r = radius of the wire,


θ = angle subtended at the center of the arc


Diagram:



Hence, required magnetic field



where, i = 6 A, r = 0.1 m, θ = 1200 = 2π/3 radian, μ0 = 4π x 10-7 kg m s-2 A-2


Hence, B = = 1.256 x 10-5 T = 12.56 μT (Ans)


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