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An electron is launched at a 45º angle and a speed of 5.0x106 m/s from the positive plate of the parallel-plate capacitor shown in the figure. The electron lands 4.0 cm away. a) What is the electric field strength inside the capacitor? b) What is the minimum spacing between the plates?

An electron is launched at a 45º angle and a speed of 5.0x106 m/s from the positive plate of the parallel-plate capacitor shown in the figure. The electron lands 4.0 cm away. a) What is the electric field strength inside the capacitor? b) What is the minimum spacing between the plates?

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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An electron is launched at a 45º angle and a speed of 5.0x106 m/s from the positive plate of the parallel-plate capacitor shown in the figure. The electron lands 4.0 cm away.

a) What is the electric field strength inside the capacitor?

b) What is the minimum spacing between the plates?

The image depicts a scenario involving the motion of a particle in an electric field. - **Configuration**: There are two horizontal parallel plates. The lower plate has positive charges indicated by the "+" symbols, while the upper plate is neutral or negatively charged (based on typical configurations, though the exact charge is not shown in the image). - **Particle Trajectory**: A particle is shown being projected from the bottom left corner with an initial velocity (\(v_0\)) at a 45-degree angle above the horizontal. The path of the particle follows a parabolic trajectory, indicating projectile motion under the influence of gravity and electric force. - **Distance**: The horizontal separation between two points on the lower plate is marked as 4.0 cm. This setup is typically used to demonstrate concepts like projectile motion in an electric field, where the electric force influences the path of the charged particle. The angle of projection and distance may be used to calculate other quantities such as time of flight, maximum height, and range.
Transcribed Image Text:The image depicts a scenario involving the motion of a particle in an electric field. - **Configuration**: There are two horizontal parallel plates. The lower plate has positive charges indicated by the "+" symbols, while the upper plate is neutral or negatively charged (based on typical configurations, though the exact charge is not shown in the image). - **Particle Trajectory**: A particle is shown being projected from the bottom left corner with an initial velocity (\(v_0\)) at a 45-degree angle above the horizontal. The path of the particle follows a parabolic trajectory, indicating projectile motion under the influence of gravity and electric force. - **Distance**: The horizontal separation between two points on the lower plate is marked as 4.0 cm. This setup is typically used to demonstrate concepts like projectile motion in an electric field, where the electric force influences the path of the charged particle. The angle of projection and distance may be used to calculate other quantities such as time of flight, maximum height, and range.
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