A permanent magnet moving coil instrument has a coil of dimension $$10 mm \times 20 mm$$. The flux density in the air gap is $$2 \times 10^{-3} Wb/m^2$$ and the spring constant is $$0.25 \times 10^{-6} Nm/rad$$. If the current of 10 mA is flowing through the coil, then calculate the number of turns required to produce an angular deflection of 60 degrees.
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