
Электрическое поле, созданное двумя разноименно наэлектризованными пластинами, расстояние между
которыми 5 см, а разница потенциалов 1,5*10^4 В. Какую скорость наберет электрон в таком поле, пройдя дистанцию 6*10^-5 см? v0= 0 м/с

Ответы на вопрос




Calculating the Electron's Velocity in an Electric Field
To calculate the velocity of an electron in an electric field created by two oppositely charged plates, we can use the formula for the kinetic energy of the electron in the electric field. The kinetic energy gained by the electron as it moves through the electric field is equal to the work done on it by the electric field. The kinetic energy gained can then be used to calculate the velocity of the electron.
The formula for the kinetic energy gained by the electron in an electric field is given by:
K.E. = qV
Where: - K.E. = kinetic energy gained by the electron - q = charge of the electron - V = potential difference across the plates
The kinetic energy gained by the electron can be equated to the work done on it by the electric field, which is given by:
K.E. = 0.5 * m * v^2
Where: - m = mass of the electron - v = velocity of the electron
By equating these two expressions for kinetic energy, we can solve for the velocity of the electron.
Calculation
Given: - Distance between the plates, d = 5 cm = 0.05 m - Potential difference, V = 1.5 * 10^4 V - Initial velocity, v0 = 0 m/s - Distance traveled, s = 6 * 10^-5 m
First, we can calculate the electric field strength E between the plates using the potential difference:
E = V / d
Then, we can calculate the force F experienced by the electron in the electric field using the formula:
F = qE
Where q is the charge of the electron.
Next, we can calculate the work done W on the electron as it moves through the electric field using the force and distance traveled:
W = F * s
Finally, we can use the work done to calculate the kinetic energy gained by the electron and then solve for its velocity using the kinetic energy formula.
Let's perform these calculations.


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