Q. 425.0( 2 Votes )
A piece of wire carrying a current of 6.00 A is bent in the form of a circular arc of radius 10.0 cm, and it subtends an angle of 120° at the center. Find the magnetic field B due to this piece of wire at the center.
Current carried by it(i) = 6 A
Angle subtended at the center = 1200
Magnetic field at the center of a circular arc,
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
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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