coordinate system if you have not already done so.
Does the electric field vary in
the region between the deflecting plates? What does that tell you about the
acceleration of the electron in that region?
5.
Use your drawing from step 1 and kinematics to determine the position and
direction of the electron as it enters the region between the deflection plates and
when it leaves that region.
Write down an equation giving the electron’s change in
position as it emerges from the deflecting plates (how much it was deflected while
traveling between the plates). Write another equation giving the electron’s direction.
6.
Use your drawing from step 1, the position and direction of the electron as it leaves
the deflection plates, and geometry to write down an equation giving the position of
the electron when it hits the screen.
Use the deflection distance from each region to
write an expression for the total deflection during the electron’s motion through all
regions of the CRT.
7.
Examine your equations giving the electron’s position at the screen.
You know the
total deflection in terms of the accelerating voltage, length of the deflecting plate
region, distance from the plates to the screen, separation distance of the plates, and
potential difference across the plates. Are there any other unknowns in your
equation?
Do you have enough equations to solve for the unknowns?
If so, solve
your equations algebraically for the deflection of an electron.
If not, write down
additional equations that relate some of the unknown quantities in your equations to
quantities that you know.
8.
Complete your solution by using the actual numbers that describe your situation.
Refer to the distances shown on the diagram of the CRT in the appendix. Does your
solution make sense? If not, check your work for logic problems or algebra mistakes.
111

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