A coil of \( 200 \) turns and area \( 0.20 \, \text{m}^2 \) is rotated at half a revolution per second and is placed in uniform magnetic field of \( 0.01 \, \text{T} \) perpendicular to axis of rotation of the coil. The maximum voltage generated in the coil is \( \dfrac{2\pi}{\beta} \) volt. The value of \( \beta \) is __________.
