Maximum induced emf:

$\overline{){{\mathbf{\epsilon}}}_{\mathbf{m}\mathbf{a}\mathbf{x}}{\mathbf{}}{\mathbf{=}}{\mathbf{}}{\mathbf{N}}{\mathbf{B}}{\mathbf{A}}{\mathbf{\omega}}}$

Number of turns = Length/Circumference = L/(2πr) = 1.6/(2 × π × 3.2 cm(1m/100cm)) = 7.96 = 8 turns

Angular speed ω = 2πf = 2π × 93 rev/min(1min/60s) = 3.1π rad/s

A 1.6-m wire is wound into a coil with a radius of 3.2 cm.

If this coil is rotated at 93 rpm in a 7.1 × 10^{−2} T magnetic field, what is its maximum emf?

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