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The brain tissue at the level of the dotted line may be considered as a series of concentric circles, with each circle behaving independently. Where will the induced EMF be the greatest?A. At the center of the dotted lineB. At the periphery of the dotted lineC. The EMF will be the same in all concentric circlesD. At the center during the increasing phase of the stimulating current and at the periphery during the decreasing phase

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at the periphery of the brain tissue coil have a greater induced EMF.

Physics 102 Electricity and Magnetism

Chapter 21

Electromagnetic Induction

Current, Resistance, and Electromotive Force

Direct-Current Circuits

Magnetic Field and Magnetic Forces

Sources of Magnetic field

Inductance

Alternating Current

Rutgers, The State University of New Jersey

University of Michigan - Ann Arbor

Simon Fraser University

McMaster University

Lectures

03:27

Electromagnetic induction is the production of an electromotive force (emf) across a conductor due to its dynamic interaction with a magnetic field. Michael Faraday is generally credited with the discovery of electromagnetic induction in 1831.

08:42

In physics, a magnetic field is a vector field that describes the magnetic influence of electric currents and magnetic materials. The magnetic field at any given point is specified by both a direction and a magnitude (or strength); as such it is a vector field. The term is used for two distinct but closely related fields denoted by the symbols B and H, where H is measured in units of amperes per meter (usually in the cgs system of units) and B is measured in teslas (SI units).

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Consider the brain tissue …

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It may be desirable to inc…

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In part (a) of the figure,…

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In transcranial magnetic s…

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Stimulating the brain In t…

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Figure $30-73 a$ shows two…

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Two Concentric Regions Fig…

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In the diagram of TMS show…

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An emf is induced in a con…

02:04

Consider a transcranial ma…

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A conducting rod of $1 \ma…

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A semicircular conductor o…

in this problem. We have a stimulating coil that has some oscillating current running through it, and this is placed above a region of the brain. It's our goal to find where in this region, the largest m f is. So we want to do this by considering this region as a series of concentric circles. So let me draw circles in here. One of those, another one under another one. So the magnetic field for this, This little stimulating coil at this moment where the current is going around, Um, in this counterclockwise direction, that scene from the top, the magnetic field is gonna look something like this. So where these field lines we're going back? Remember when when I draw these field lines, I'm saying that this is the direction of the Byfield at those points in space, the density of these lines tells you the strength of the field. But the direction is given by these little arrows that I've drawn on them. So let's recall that R e M f is given by the rate of change of our flux, and our flux is given by perpendicular component of our Byfield multiplied by our area. Okay, well, the area for these is different. So really, this e m f we get right is being proportional. The Byfield is changing. So I'm just gonna read a proportional sign here. We just want to get an idea of what? The largest in Memphis. So the Byfield is the same for all of these, but the areas are different. So we have this being proportional to the area multiplied by that change. Perpendicular in the area individually is not changing. So we can pull that out of the numerator. And we see that the IMF is proportional thio how big our area is. And this makes sense. We have, ah larger plucks through a larger area. So the change in the net flux through the larger areas is going to be larger. We know that the change in the IMF is, or the change in the flux is going to give a certain are changing the IMF. So this tells us that the areas that are larger house a larger IMF meaning that for this region we have our largest mm on the periphery

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