Electric Field and Charge of a Capacitor

AI Thread Summary
The discussion revolves around calculating the electric field and charge of a capacitor in a cathode-ray tube scenario. The user initially struggles with deriving the charge from the given momentum change and dimensions of the deflection plates. They utilize the impulse-momentum theorem and the relationship between force, electric field, and charge to approach the problem. Ultimately, they confirm that the electric field strength is 350,000 N/C and successfully calculate the charge on the upper plate as approximately 5.077e-14 C. The user expresses satisfaction upon resolving the calculations.
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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
 
Physics news on Phys.org
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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