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Chegg an electron moves along the z-axis with vz=5. 5×107m/svz=5. 5×107m/s. As it passes the origin, what are the strength and direction of the magnetic field at the following (xx, yy, zz) positions?

Sagot :

The strength of the magnetic field, when the electron passes the origin with vz velocity is 4×10⁻¹⁹ A/m.

What is magnetic field?

The magnetic field is the field in the space and around the magnet in which the magnetic field can be filled.

The magnetic field experienced by a charged particle can be given as,

[tex]\vec B=\dfrac{\mu}{4\pi}\times\dfrac{q\vec v\hat r}{r^2}[/tex]

Here, (q) is the charge of the particle, (v) is the speed of the particle, and (B) is the magnetic field.

An electron moves along the z-axis with

[tex]v_z=5. 5\times10^7\rm \;m/s[/tex]

The charge on one electron is 1.6×10⁻¹⁹ C and the value of μ is 4π×10⁻⁷. Put the values in the above equation,

[tex]\vec B=\dfrac{4\pi 10^{-7}}{4\pi}\times\dfrac{(1.6\times10^{-19})(5.5\times10^{7}\hat k)\hat r}{r^2}\\\vec B=4\times10^{-19}\times\dfrac{(-\hat i +\hat j)}{x^2+y^2+z^2}[/tex]

Thus, the strength of the magnetic field, when the electron passes the origin with vz velocity is 4×10⁻¹⁹ A/m.

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