Question

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. Let the electric field lie along the positive x-axis. Answer in units of m/s 2

Answer 1

Answer:

Acceleration,$a=5.27\times 10^{17}\ m/s^2$

Explanation:

Given that,

Electric field strength, $E=3\times 10^6\ N/C$

Mass of the electron, $m=9.109\times 10^{-31}\ kg$

Charge on electron, $q=1.602\times 10^{-19}\ C$

Let a is the acceleration experienced by an electron. It can be calculated as :

$ma=qE$

$a=\dfrac{qE}{m}$

$a=\dfrac{1.602\times 10^{-19}\times 3\times 10^6}{9.109\times 10^{-31}}$

$a=5.27\times 10^{17}\ m/s^2$

Hence, this is the required solution.