Air will break down (lose its insulating quality) and sparking will result if th

Question

Air will break down (lose its insulating quality) and sparking will result if the field strength is increased to about 3 * 10^6 N/C.

A. What acceleration will an electron experience in such a field? The mass of the electron is 9.109*10^-91 kg and the fundamental charge is 1.602*10^-19 C. Let the electric field lie along the positive x-axis. Answer in units of m/s^2.

B. If the electron starts from rest, in what distance will it acquire a speed equal to 7% of the speed of light (3*10^8 m/s)? Answer in units of mm

Explanation / Answer

a= Eq/m= 3*10^8*1.6*106-19/9.11*106-31 = 5.26*10^17 m/s^2

S= V^2/2a = 0.07*3*10^8)^2/2*5.26*10^17

S =0.41mm

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