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In an ac generator, a rectangular coil of 100 turns each having area $14 \times 10^{- 2} m^{2}$ rotated at 360 rev/min about an axis perpendicular to a uniform magnetic field of magnitude 3.0 T. The maximum value of the emf produced will be -------------------- V. $(Take π = \frac{22}{7})$

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answer is 1584.

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Detailed Solution

$ε = ε_{0} sinωt; ε_{0} = BANω$

$ε_{0} = 3 \times 14 \times 10^{- 2} \times 100 \times \frac{360}{60} \times 2 π$

$= 3 \times 14 \times 6 \times 2 \times \frac{22}{7} = 1584 V .$

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