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Cloud [144]
3 years ago
10

Transcranial magnetic stimulation (TMS) is a noninvasive technique used to stimulate regions of the human brain. A small coil is

placed on the scalp, and a brief burst of current in the coil produces a rapidly changing magnetic field inside the brain. The induced emf can be sufficient to stimulate neuronal activity. One such device generates a magnetic field within the brain that rises from zero to 1.5 T in 120 ms. Determine the induced emf within a circle of tissue of radius 1.6 mm and that is perpendicular to the direction of the field.
Physics
1 answer:
attashe74 [19]3 years ago
7 0

Answer:

0.125 volts

Explanation:

The induced emf can be sufficient to stimulate neuronal activity.

One such device generates a magnetic field within the brain that rises from zero to 1.5 T in 120 ms.

We need to find the induced emf within a circle of tissue of radius 1.6 mm and that is perpendicular to the direction of the field. The formula for the induced emf is given by :

\epsilon=-\dfrac{d\phi}{dt}

Where

\phi is magnetic flux

So,

\epsilon=-\dfrac{d(BA)}{dt}\\\\=2\pi r\times \dfrac{dB}{dt}\\\\=2\pi \times 1.6\times 10^{-3}\times \dfrac{1.5-0}{120\times 10^{-3}}\\\\=0.125\ V

So, the induced emf is equal to 0.125 volts.

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Two shuffleboard disks of equal mass, one orange and the other yellow, are involved in an elastic, glancing collision. The yello
denis-greek [22]

Answer:

The final speeds of the yellow and orange shuffleboard disks are 3.015 meters per second and 3.989 meters per second, respectively.

Explanation:

In this case, we see a two-dimension system formed by two shuffleboard disks, which do not experiment any effect from external forces, so that the Principle of Linear Momentum can be applied. The equations of equilibrium are respectively:

m_{Y}\cdot \vec v_{Y,o}+m_{O}\cdot \vec v_{O,o} = m_{Y}\cdot \vec v_{Y}+m_{O}\cdot \vec v_{O} (Eq. 1)

Where:

m_{Y}, m_{O} - Masses of the yellow and orange shuffleboard disks, measured in kilograms.

\vec v_{Y,o}, \vec v_{O,o} - Initial vectors velocity of the yellow and orange shuffleboard disks, measured in meters per second.

\vec v_{Y}, \vec v_{O} - Final vectors velocity of the yellow and orange shuffleboard disks, measured in meters per second.

If we know that m_{Y} = m_{O}, then the system is now reduced into this form:

\vec v_{Y,o}+\vec v_{O,o} = \vec v_{Y}+\vec v_{O} (Eq. 2)

Given that \vec v_{Y,o} = \left(0\,\frac{m}{s}, 0\,\frac{m}{s}\right), \vec v_{O,o} = \left(5\,\frac{m}{s}, 0\,\frac{m}{s}  \right), \vec v_{Y} = v_{Y}\cdot \left(\cos 52.92^{\circ},-\sin 52.92^{\circ}\right) and \vec v_{O} = v_{O}\cdot (\cos 37.08^{\circ},\sin 37.08^{\circ}), then we find these two equations of equilibrium:

x-Direction:

v_{Y}\cdot \cos 52.92^{\circ}+v_{O}\cdot \cos 37.08^{\circ} = 5\,\frac{m}{s} (Eq. 3)

y-Direction:

-v_{Y}\cdot \sin 52.92^{\circ}+v_{O}\cdot \sin 37.08^{\circ} = 0\,\frac{m}{s} (Eq. 4)

The solution of this system of linear equations is:

v_{Y} = 3.015\,\frac{m}{s} and v_{O} = 3.989\,\frac{m}{s}

The final speeds of the yellow and orange shuffleboard disks are 3.015 meters per second and 3.989 meters per second, respectively.

3 0
3 years ago
Assessment started: undefined.
enot [183]

Answer:

Option B: Group

Explanation:

The elements fluorine, chlorine, and iodine are commonly known as halogens.

They all have 7 valence electrons in their outermost shell and thus they all belong to group 7A in the periodic table.

Correct Answer is: Group

5 0
3 years ago
You are sitting in a car that is travelling at a constant 10 m/s. How fast is your drink, sitting in the cup holder, traveling r
Ksenya-84 [330]

Here, we are required to determine how fast is you drink, sitting in the cup holder, travelling relative to the car.

  • The speed of the drink, sitting in the cup holder, relative to the car is; 0m/s

From the laws of relative motion,

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  • <em>when object A and Object B are travelling with speed a and b respectively in the same direction, the speed of Object A relative to B is;. (a - b)when object A and Object B are travelling with speed a and b respectively in opposite directions, the speed of Object A relative to B is; (a+b)</em>

  • <em>when object A and Object B are travelling with speed a and b respectively in the same direction, the speed of Object A relative to B is;. (a - b)when object A and Object B are travelling with speed a and b respectively in opposite directions, the speed of Object A relative to B is; (a+b)when object A and Object B are travelling with speed a and b respectively in the same direction, where speed a = speed b, then the speed of object A relative to object B is; zero(0).</em>

Evidently, the scenario in the question is similar to the third scenario above. The cup, sitting in the cup holder is travelling with the car at the same constant speed 10m/s.

Therefore, the speed of the drink relative to the car is zero(0).

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From the momentum conservation we know that the initial momentum is equal to the final momentum. The momentum in a singular way can be defined as the product between the mass and the velocity of an object. In the presented system, however, there are two objects, therefore the mass of both and the speed of both, before and after the collision must be taken into account. Mathematically we could describe this as

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From here we can realize that it is necessary to use the system on both cars to be able to predict what will happen either with their masses, or their speeds.

The correct answer is C.

6 0
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Which color has the lowest frequency?
Svet_ta [14]
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