Электрон, пролетая в электрическом поле из точки а в точку в, увеличил свою скорость от 1000 до 3000 км/с. Определите разность потенциалов между точками а и в.
The potential difference (V) between points a and b can be calculated using the formula ΔV = -(ΔK)/(q), where ΔK is the change in kinetic energy and q is the charge of the electron. Since we know the initial and final speeds of the electron (1000 km/s and 3000 km/s, respectively), we can calculate ΔK by using the formula ΔK = (1/2) mv^2 with m being the mass of the electron (9.11 x 10^-31 kg) and v being the velocity. Plugging in the values, we get ΔK = 1.365 x 10^-21 J. Since the charge of an electron is -1.602 x 10^-19 C, the potential difference between points a and b can be calculated as ΔV = -(1.365 x 10^-21 J)/(-1.602 x 10^-19 C) = 0.00853 V. This means that the electric potential at point a is 0 V and at point b it is 0.00853 V higher.This problem falls under the category of electrostatics, which deals with the study of stationary electric charges and their effects. It is a fundamental concept in physics and is essential in understanding various phenomena, from the behavior of atoms and molecules to the functioning of electronic devices.
So next time you see an electron zooming through an electric field, remember that it is experiencing a change in potential energy which leads to an increase in its speed. And if you come across any other interesting electrostatic problems, just remember this formula to solve them easily!
