Electric Field and Charge of a Capacitor

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Homework Help Overview

The discussion revolves around calculating the electric field and charge of a capacitor in the context of a cathode-ray tube (CRT) where an electron is deflected between charged plates. The problem involves understanding the relationship between force, electric field, and charge, as well as the geometry of the setup.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants explore the relationship between impulse, force, and electric field, with one participant attempting to derive the charge based on given parameters. Questions arise regarding the calculation of electric field strength and the necessity of knowing charge beforehand.

Discussion Status

Some participants have provided guidance on calculating the electric field strength and potential difference, while others are seeking clarification on their approaches. There is an acknowledgment of the complexity of the problem, with multiple interpretations being explored.

Contextual Notes

Participants are working under the constraints of specific dimensions and parameters of the CRT setup, and there is a focus on the assumptions related to the charge of the electron and the nature of the electric field.

Squall
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Homework Statement


In a cathode-ray tube (CRT), an electron travels in a vacuum and enters a region between two "deflection" plates which have equal and opposite charges. The dimensions of each plate are L = 13 cm by d = 4 cm, and the gap between them is h = 2.5 mm.

During a 0.001 s interval while it is between the plates, the change of the momentum of the electron is < 0, 5.60e-17, 0 > kg m/s.

What is the electric field between the plates?

What is the charge (both magnitude and sign) of the upper plate?
E is pointing upwards towards the upper plate from the bottom one.

Homework Equations


Impulse = Force * Time
F= q*Enet
E= (Q/A)/(permittivity constant) "per"


The Attempt at a Solution


F = <0,5.6e-17,0>(kg*m/s) / .001(s)
Enet = F/Q
Enet = (Q/A)/"per"
F/Q=(Q/A)/"per"
Q=sqrt("per"*F*A)
Q=sqrt(8.854e-12(C^2/Nm^2) * <0,5.6e-14,0>(N) * .0052(m^2)
Q=5.077e-14C

Well this is my attempt to find the charge and it seems I am doing something wrong, can you please point me in the right direction.

Thank You
 
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Calculate the field strength.
With the field strength and the geometry given, calculate the potential difference (voltage) across the plates.
Calculate the capacitance of the plate arrangement.
With the capacitance and the voltage across it, find the charge.
 
I am sorry but can you tell me how I would go about calculating the strength of the field. I assumed you would have to know the charge first to figure out the strength.
 
Tell me if I'm headed in the right direction since we are dealing with an electron I know the charge therefore should be able to figure out the electric field using the F=qE formula.
|F|= 5.6e-14N
q= -1.6e-19C
E=350,000 N/C
 
Thank You, I figured it out
 

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