Emf in the Archimedean spiral

A wire is bent into the shape of an planar Archimedean spiral which in polar coordinates is described by the equation \[ r= b \theta. \] The spiral has \(N=100\) turns and outer radius \(R=10~\mbox{cm}\) (\(R\) is the distance from point O to point T). Note that in the figure below we show a spiral having only 3 turns. The circuit is placed in a homogeneous magnetic field perpendicular to the plane of the spiral. The time dependence of the magnetic field induction is given by \[ B=B_{0}\cos(\omega t)\] where \(B_{0}=1 ~\mu \mbox{T}\) and \(\omega=2\times 10^{6}~\mbox{s}^{-1}\). Determine, the amplitude of the emf in Volts induced in the circuit.

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