Respuesta :
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.
Learn more about magnetic field here;
https://brainly.com/question/7802337
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