020 (part 1 of 2) 10.0 points Air will break down (lose its insulating quality)
ID: 1655162 • Letter: 0
Question
020 (part 1 of 2) 10.0 points 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 × 1031 kg and the fundamental charge is 1.602 × 1019 C. Let the electric field lie along the positive x-axis. Answer in units of m/s 2 . 021 (part 2 of 2) 10.0 points If the electron starts from rest, in what distance will it acquire a speed equal to 6% of the speed of light (3 × 108 m/s)? Answer in units of mm.
Explanation / Answer
E = 3 x 10^6 N/C
acceleration, a = Fe / m = q E / m
a = (1.6 x 10^-19)(3 x 10^6) / (9.109 x 10^-31)
a = 5.27 x 10^17 m/s^2 .........Ans
2) vf = 0.06 x 3 x 10^8 = 1.80 x 10^7 m/s
Applying vf^2 - v0^2 = 2 a d
(1.80 x 10^7)^2 - 0 = 2 x 5.27 x 10^17 x d
d = 0.31 x 10^-3 m OR 0.31 mm
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.