Concept

# Problem: A single loop of wire with an area of 0.0840 m2 is in a uniform magnetic field that has an initial value of 3.80 T, is perpendicular to the plane of the loop and is decreasing at a constant rate of 0.140 T/s.Part A.What emf is induced in this loop?Express your answer using two significant figures.Part B.If the loop has a resistance of 0.800, find the current induced in the loop.Express your answer using two significant figures.

###### FREE Expert Solution

In this problem, we are dealing with induced emf in a loop.

Part A.

Induced emf:

$\overline{){\mathbf{\epsilon }}{\mathbf{=}}{\mathbf{-}}{\mathbf{N}}\frac{\mathbf{∆}{\mathbf{\varphi }}_{\mathbf{B}}}{\mathbf{∆}\mathbf{t}}{\mathbf{=}}{\mathbf{-}}{\mathbf{N}}\frac{\mathbf{∆}\mathbf{B}\mathbf{A}\mathbf{c}\mathbf{o}\mathbf{s}\mathbf{\theta }}{\mathbf{∆}\mathbf{t}}}$

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###### Problem Details

A single loop of wire with an area of 0.0840 mis in a uniform magnetic field that has an initial value of 3.80 T, is perpendicular to the plane of the loop and is decreasing at a constant rate of 0.140 T/s.

Part A.
What emf is induced in this loop?