Mathematics: An electron moves along the z-axis with vz=2.5×107m/s. as it passes the origin, what are the strength and direction of the magnetic field at the following (x, y, z) positions?

An electron moves along the z-axis with vz=2.5×107m/s.

Ответ:

opreston

15.03.2022

Mathematics

The magnetic field by an moving charge 'q' moving with a velocity 'v' is given by

$\overrightarrow{B}=\frac{\mu }{4\pi }\frac{q\overrightarrow{v}\times \widehat{r}}{r^{2}}$

Applying values we get

$\overrightarrow{B}=\frac{4\pi \times 10^{-7} }{4\pi }\frac{1.6\times 10^{-19}\times 2.5\times 10^{7}\overrightarrow{k}\times \widehat{r}}{r^{2}}$

$\overrightarrow{B}=4\times 10^{-19}\frac{(-\widehat{i}+\widehat{j})}{r^{2}}\\\\\overrightarrow{B}=4\times 10^{-19}\frac{(-\widehat{i}+\widehat{j})}{x^{2}+y^{2}+z^{2}}$

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Ответ:

ogpuhl

03.05.2022

Mathematics

C. 68%

Step-by-step explanation:

We have been given that the numbers of cookies in a shipment of bags are normally distributed, with a mean of 64 and a standard deviation of 4.

Let us find z-score for our given raw scores 60 and 68 using z-score formula.

, where,

z= z-score.

x= Raw score.

= Mean.

= Standard deviation.

Therefore, 60 is 1 standard deviation below mean.

Now let us find z-score for 68.

Therefore, 68 is 1 standard deviation above mean.

We can see that 60 and 64 lies between z=-1 and z=1.

Since empirical rule states that 68% of data falls within the first standard deviation from the mean, therefore, 68% of cookie bags will contain between 60 and 68 cookies and option C is the correct choice.

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An electron moves along the z-axis with vz=2.5×107m/s. as it passes the origin, what are the strength and direction of the magnetic field at the following (x, y, z) positions?

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