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Air will break down (lose its insulating quality) and sparking will result if the field strength is increased to about 3 × 106 N/C. What acceleration will an electron experience in such a field? The mass of the electron is 9.109 × 10−31 kg and the fundamental charge is 1.602 × 10−19 C.

Respuesta :

Answer:

Explanation:

Given

Electric Field Strength [tex]E=3\times 10^6\ N/C[/tex]

When a charged particle enters the Electric field it Experience a force in the direction of electric field (for positive charge and vice-versa for negative charge)

charge on Electron [tex]q=1.6\times 10^{-19}\ C[/tex]

mass of electron [tex]m=9.1\times 10^{-31}\ kg[/tex]

Force [tex]F=q\times E[/tex]

[tex]F=1.6\times 10^{-19}\times 3\times 10^6[/tex]

[tex]F=4.8\times 10^{-13}\ N[/tex]

acceleration of electron [tex]a=\frac{F}{m}[/tex]

[tex]a=\frac{4.8\times 10^{-13}}{9.1\times 10^{-31}}[/tex]

[tex]a=0.527\times 10^{18}\ m/s^2[/tex]