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Part (a)  How long, in seconds, does it take for the particle to pass through the region between the plates?  Δt = _____ s Part (b)  When the particle exits the region between the plates, what will be the magnitude of its vertical displacement, in millimeters, from its entry height?  Δy = _____ mm

Part (a)  How long, in seconds, does it take for the particle to pass through the region between the plates?  Δt = _____ s Part (b)  When the particle exits the region between the plates, what will be the magnitude of its vertical displacement, in millimeters, from its entry height?  Δy = _____ mm

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
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Part (a)  How long, in seconds, does it take for the particle to pass through the region between the plates? 

Δt = _____ s

Part (b)  When the particle exits the region between the plates, what will be the magnitude of its vertical displacement, in millimeters, from its entry height? 

Δy = _____ mm

### Problem 8: A particle with charge \( q = +2e \) and mass \( m = 8.42 \times 10^{-26} \) kg is injected horizontally with a speed of \( 0.63 \times 10^6 \) m/s into the region between two parallel horizontal plates. The plates are 24.1 cm long and an unknown distance \( d \) apart. The particle is injected midway between the top and bottom plates. The top plate is negatively charged, and the bottom plate is positively charged, so that there is an upward-directed electric field between the plates of magnitude \( E = 36.9 \) kN/C. Ignore the weight of the particle. #### Diagram Explanation: - The diagram on the right shows two parallel horizontal plates. The plates are labeled with: - Length \( L \) representing the length of the plates. - Distance \( d \) representing the separation between the plates. - An electric field \( E \) directed upward, depicted by red arrows between the plates. - A red particle entering from the left, showing its velocity \( v \) directed horizontally to the right. ### Educational Objectives: - Understand the interaction of charged particles with electric fields. - Calculate the force on a charged particle in an electric field. - Analyze the motion of a charged particle in a uniform electric field. This problem can be used to demonstrate principles of electromagnetism in a physics course, specifically the motion of charged particles in electric fields and the effects of electric forces on charged particles.
Transcribed Image Text:### Problem 8: A particle with charge \( q = +2e \) and mass \( m = 8.42 \times 10^{-26} \) kg is injected horizontally with a speed of \( 0.63 \times 10^6 \) m/s into the region between two parallel horizontal plates. The plates are 24.1 cm long and an unknown distance \( d \) apart. The particle is injected midway between the top and bottom plates. The top plate is negatively charged, and the bottom plate is positively charged, so that there is an upward-directed electric field between the plates of magnitude \( E = 36.9 \) kN/C. Ignore the weight of the particle. #### Diagram Explanation: - The diagram on the right shows two parallel horizontal plates. The plates are labeled with: - Length \( L \) representing the length of the plates. - Distance \( d \) representing the separation between the plates. - An electric field \( E \) directed upward, depicted by red arrows between the plates. - A red particle entering from the left, showing its velocity \( v \) directed horizontally to the right. ### Educational Objectives: - Understand the interaction of charged particles with electric fields. - Calculate the force on a charged particle in an electric field. - Analyze the motion of a charged particle in a uniform electric field. This problem can be used to demonstrate principles of electromagnetism in a physics course, specifically the motion of charged particles in electric fields and the effects of electric forces on charged particles.
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