contestada

What minimum strength of magnetic field is required to balance the gravitational force on a proton moving at speed 7 ✕ 106 m/s?

Respuesta :

If magnetic force on proton is balanced by its weight then we can write the equation

[tex]F_{mag} = mg[/tex]

[tex]qvB = mg[/tex]

now magnetic field is given by

[tex]B = \frac{mg}{qv}[/tex]

here

[tex]m = 1.6 * 10^{-27} kg[/tex]

[tex]q = 1.6 * 10^{-19}C[/tex]

[tex]v = 7 * 10^6 m/s[/tex]

[tex]B = \frac{1.6*10^{-27}* 9.8}{1.6 * 10^{-19}*7 * 10^6}[/tex]

[tex]B = 1.4 * 10^{-14} T[/tex]

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