We are dealing with induced emf.

Induced emf:

$\overline{){\mathbf{\epsilon}}{\mathbf{=}}{\mathbf{-}}\frac{\mathbf{d}{\mathbf{\varphi}}_{\mathbf{B}}}{\mathbf{d}\mathbf{t}}}$

Magnetic flux:

$\overline{){{\mathbf{\varphi}}}_{{\mathbf{B}}}{\mathbf{=}}{\mathbf{B}}{\mathbf{A}}}$

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 (17cm X 17cm) square loop lies in the xy plane The magnetic field in this region of space is B = (0.31t i + 0.55t^{2} k)T where t is in seconds.

1) What is the E induced loop at 0.5s

2)What is the E induced loop at 1.0s

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

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Faraday's Law concept. You can view video lessons to learn Faraday's Law. Or if you need more Faraday's Law practice, you can also practice Faraday's Law practice problems.