Magnetism

A long circular tube of length 10 m and radius 0.3 m carries a current I along its curved surface as shown. A wire-loop of resistance 0.005 \(\Omega\) and of radius 0.1 m is placed inside the tube with its axis coinciding with the axis of the tube. The current varies as \(I = {I_0}\cos (300t)\), where I₀ is constant. If the magnetic moment of the loop is \(N{\mu _0}{I_0}\sin (300t)\), then N is ___________.