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A proton moves through a region of space where there is a magnetic field B = (0.45i + 0.38j) T and an electric field E = (3.0i - 4.2j) X 10^3 V/m. At a given instant, the proton's velocity is v = (6.0i + 3.0j - 5.0k) X 10^3m/s. Determine the components of the total force on the proton.

Respuesta :

Force on a moving charge in electric field as well as magnetic field is given by

[tex]F = q(v x B) + qE[/tex]

[tex]F = e(6.0 i + 3.0 j - 5 k) * 10^3 x (0.45 i + 0.38 j) + e(3 i - 4.2 j)* 10^3[/tex]

[tex]F = e(2.28 k - 1.35 k - 2.25 j + 1.9 i) * 10^3 + e(3 i - 4.2 j)* 10^3[/tex]

[tex]F = e(4.9 i - 6.45 j + 0.93 k)* 10^3[/tex]

[tex]F = (7.84 i - 10.32 j + 1.49 k)* 10^{-16}[/tex]

So above are the components of total force.

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