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The total magnetic field of the alpha particle will be = 1.974 x 10⁻⁴ T .
Magnetic field is a region around a magnetic material or a moving electric charge within which the force of magnetism acts.
Magnetic field due to moving charge =
[tex]B=\dfrac{\mu_oq}{4\pi}\times \dfrac{v}{r^2}[/tex]
q is charge moving with velocity v and r is distance from point at which field is calculated .
For alpha particle
[tex]B_1=\dfrac{\mu_o}{4\pi}\times \dfrac{2\times 1.6\times 10^{-19]\times 2.8\times 10^{5}}}{(8.25\times 10^{-9})^2}}[/tex]
= 0.1316 x 10⁻³ T
For electron
[tex]B_2=\dfrac{\mu_o}{4\pi}\times \dfrac{1.6\times 10^{-19}\times 2.8\times 10^{5}}{(8.25\times 10^{-9})^2}[/tex]
= .0658 x 10⁻³ T .
Both these magnetic field will be same in direction because direction of equivalent current is same for both the particles .
Hence
Total magnetic field
= B₁ + B₂ = .1974 x 10⁻³
= 1.974 x 10⁻⁴ T .
Hence the total magnetic field of the alpha particle will be = 1.974 x 10⁻⁴ T .
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