Induced emf:

$\overline{){\mathbf{\epsilon}}{\mathbf{\left(}}{\mathbf{t}}{\mathbf{\right)}}{\mathbf{=}}\frac{\mathbf{d}}{\mathbf{d}\mathbf{t}}{\mathbf{\varphi}}{\mathbf{=}}\frac{\mathbf{d}}{\mathbf{d}\mathbf{t}}{\mathbf{B}}{\mathbf{A}}{\mathbf{c}}{\mathbf{o}}{\mathbf{s}}{\mathbf{\theta}}}$

A = πr^{2} = π(0.75)^{2}

The angle between perpendicular to the loop and the magnetic field is 30°.

A flat, circular, steel loop of radius 75 cm is at rest in a uniform magnetic field, as shown in an edge-on view in the figure. The field is changing with time, according to

Find the emf induced in the loop as a function of time (assume *t* in seconds). Express your answer in terms of the variable *t*.

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