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An alpha particle (charge 2e) and an electron move in opposite directions from the same point, each with the speed of 2. 80×105 m/s

Sagot :

The total magnetic field of the alpha particle will be = 1.974 x 10⁻⁴ T .

What is magnetic field?

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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