How to find potential difference between 2 parallel deflection plates

AI Thread Summary
To find the potential difference between two parallel deflection plates, one must use the equation ε = ΔV/d, where d is the distance between the plates. The energy gained by a charge in an electric field can be calculated using W = qΔV, equating it to kinetic energy to find velocity. Given values such as ΔV1, Δx, Δy, charge (q), and mass (m) are essential for calculations. The discussion highlights the importance of knowing initial velocity to proceed with further calculations like acceleration and final velocity. Ultimately, understanding the relationship between potential difference and electric fields is crucial in solving the problem.
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Homework Statement


Describe by pointform how to find potential difference between parallel deflection plates, ΔV₂ = ?
You don't have to solve.

ΔV1 = 1.38 kV
Δx = 5 cm
Δy = 0.49 cm
r = 5.2 cm
q = 1.6 x 10^-19 C
m = 9.11 x 10^-31 kg
k = 9 x 10^9 Nm^2/C^2

Homework Equations


ε = ΔV/d
W = ΔEe = qΔV
V = kq/r
Fe = kq1q₂/r^2
Fe = qε
Ee = kq1q₂/r

The Attempt at a Solution


i don't have the velocity so i don't know how. If i did have velocity i would find time.
 

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I am on thin ice here, but its ok I am happy making a fool out of myself

Don't you use the potential between the cathode and the anode and the charge on the electron to calculate the energy gained in traversing the first part of your diagram and equate this to the kinetic energy to solve for the velocity as you leave the slit in the vertical anode

1/2 mv^2=eV
 
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Ty what do I do after?
 
i have the initial velocity what do i solve for next? ε, acceleration, Fe, final velocity? how to find potential difference
 
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never mind i got it.
 
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