**A.**

Induced emf:

$\overline{){\mathit{\epsilon}}{\mathbf{=}}{\mathit{N}}{\mathit{A}}\frac{\mathbf{dB}}{\mathbf{dt}}}$

Power rule of derivation:

$\overline{)\frac{\mathit{d}}{\mathit{d}\mathit{t}}\mathbf{\left(}{\mathit{x}}^{\mathit{n}}\mathbf{\right)}{\mathbf{=}}{\mathit{n}}{{\mathit{x}}}^{\mathit{n}\mathbf{-}\mathbf{1}}}$

A = πr^{2}

A coil 4.50 cm radius, containing 510 turns, is placed in a uniform magnetic field that varies with time according to B = (1.20x10-2 T/s) t + (3.45x10-5 T/s4)t^{4}. The coil is connected to a 650-Ω resistor, and its plane is perpendicular to the magnetic field. You can ignore the resistance of the coil.

Part A

Find the magnitude of the induced emf in the coil as a function of time.

Part B

What is the current in the resistor at time t0 = 4.75 s?

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