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fredd [130]
3 years ago
7

In the microscopic view of electrical conduction in a copper wire, electrons are accelerated by an electric field and then colli

de with metal atoms after traveling about 3.4×10−8m. If an electron begins from rest and is accelerated by a field of 0.070 N/C, what is its speed when it collides with a metal atom?
Physics
1 answer:
Tems11 [23]3 years ago
3 0

Answer:

       \large\boxed{\large\boxed{29m/s}}

Explanation:

<u>1. Obtain the net force acting on the electron</u>

The electric force equals the magnetic field times the charge of the particle:

  • F=E\times q

The charge on the electron is 1.602\times 10^{-19}C.

  • F=0.070N/C\times 1.602\times 10^{-19}C=1.1214\times 10^{-20}N

<u>2. Calculate the acceleration of the electron</u>

  • Mass of an electron: 9.109 × 10⁻³¹ kg

       F=m\times a\implies a=F/m\\\\  a=1.1214\cdot  10^{-20}N/(9.109\cdot 10^{-31}kg)=1.231\cdot 10^{10}m/s^2

<u>3. Calculate the speed</u>

Uniformly accelerated motion:

                 s^2=u^2+2ad\\ \\ s^2=0^2+2\times1.231\cdot 10^{10}m/s^2\times 3.4\cdot 10^{-8}m\\ \\ s^2=8.371\cdot 10^2m^2/s^2\\ \\ s=28.9m/s\approx 29m/s

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