Induced emf:

$\overline{){\mathbf{\epsilon}}{\mathbf{=}}{\mathbf{-}}\frac{{\mathbf{d\varphi}}_{\mathbf{m}}}{\mathbf{dt}}}$

Current:

$\overline{){\mathbf{i}}{\mathbf{=}}\frac{\mathbf{\epsilon}\mathbf{\left(}\mathbf{t}\mathbf{\right)}}{\mathbf{R}}}$

According to Lenz's law, the value of the current is positive if it is in a counterclockwise direction.

**Lenz's Law **

The magnetic flux through the loop shown in the accompanying figure varies with time according to Φ_{m} = 2.00e^{-3}^{t}sin(120πt), where Φ_{m} is in milliwebers. What are the direction and magnitude of the current through the 5.00-Ω resistor at t = 0s?

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