Concept

# Problem: A circular loop of wire with radius r = 0.0480 m and resistance R = 0.160 Ω is in a region of spatially uniform magnetic field, as shown in the following figure. The magnetic field is directed out of the plane of the figure. The magnetic field has an initial value of  7.63 T and is decreasing at a rate of –0.602 T/s. What is the rate at which electrical energy is being dissipated by the resistance of the loop?Express your answer with the appropriate units.P = ?

###### FREE Expert Solution

In this problem, we are dealing with induced emf due to a changing magnetic flux.

Induced emf:

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

Magnetic flux:

$\overline{){\mathbf{\varphi }}{\mathbf{=}}{\mathbf{B}}{\mathbf{A}}{\mathbf{c}}{\mathbf{o}}{\mathbf{s}}{\mathbf{\theta }}}$

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###### Problem Details

A circular loop of wire with radius r = 0.0480 m and resistance R = 0.160 Ω is in a region of spatially uniform magnetic field, as shown in the following figure. The magnetic field is directed out of the plane of the figure. The magnetic field has an initial value of  7.63 T and is decreasing at a rate of –0.602 T/s.

What is the rate at which electrical energy is being dissipated by the resistance of the loop?

P = ?

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.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Zuniga's class at LSU.