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=bθ. r= b \theta. The spiral has N=100N=100 turns and outer radius R=10 cmR=10~\mbox{cm} (RR 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=B0cos(ωt) B=B_{0}\cos(\omega t) where B0=1 μTB_{0}=1 ~\mu \mbox{T} and ω=2×106 s1\omega=2\times 10^{6}~\mbox{s}^{-1}. Determine, the amplitude of the emf in Volts induced in the circuit.

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