The induced emf in a coil of N turns is:

$\overline{){\mathbf{\epsilon}}{\mathbf{=}}{\mathbf{N}}{\mathbf{\left|}}\frac{\mathbf{d}{\mathbf{\varphi}}_{\mathbf{m}}}{\mathbf{d}\mathbf{t}}{\mathbf{\right|}}}$, where N is the number of turns, and ϕ_{m} is magnetic flux.

The magnetic flux ϕ_{m} is given by:

$\overline{)\begin{array}{rcl}{\mathbf{\varphi}}_{\mathbf{m}}& {\mathbf{=}}& \mathbf{B}\mathbf{\xb7}\mathbf{A}\\ & {\mathbf{=}}& \mathbf{B}\mathbf{A}\mathbf{c}\mathbf{o}\mathbf{s}\mathbf{\theta}\end{array}}$

A 1200-turn coil of wire 2.10 cm in diameter in a magnetic field that increases from 0 T to 0.110 T in 11.0 ms. The axis of the coil is parallel to the field.

What is the emf of the coil?

Express your answer to two significant figures and include the appropriate units.

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