ok i have a problem to work on in my new course, and i was wondering what i need to do to tackle it. the question is as follows:
An electron is projected with an initial velocity Vo=10^7m/s into the uniform field between the parallel plates "E". the direction of the field is vertically downward and the field is zero everywhere else except between plates. the electron enters the field at a point midway the plates. if the electron just misses the upper plate as it uses energy from the field, find the magnitude of the field "E"
are these the formulas needed
F = ma = qE
s = ut + 0.5 at^2
v = u + at
v^2 = u^2 + 2as
and what does ( a, u, and s) stand for?
Eq= force= mass*acceleration
solve for the acceleration upward.
NOTE: the u above is initial velocity, in the direction of deflection, u is zero.
a is acceleration
s is distance. now back to the problem
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I would like to know the measurements of the plates, ie separation, and the length of the plates along the originalpath. Is that given?
the distance between the two plates is 1cm
and the lengeth of each plate is 2cm
the distance between the two plates is 1cm
and the lengeth of each plate is 2cm
so how do i get started
Eq=mass*acceleration
so this is the acceleration toward the plate.
How long is it being accelerated?
lengthplate=V*t solve for time
So then we know that in the vertical acceleration between the plates.
distance moved=1/2 *.001m
but distance moved= 1/2 a t^2
set those equal, solve for a (you know time).
Now Eq=ma you know q, m, a solve for E
To tackle the given problem, you need to use the formulas that you have mentioned. Let's go through them and understand what each variable represents:
1. F = ma = qE: This formula represents the force experienced by an object in an electric field. F is the force, m is the mass of the object, a is the acceleration, q is the charge of the object, and E is the electric field strength.
2. s = ut + 0.5 at^2: This is one of the equations of motion, which gives the displacement of an object under constant acceleration. s represents the displacement, u is the initial velocity, t is the time, and a is the acceleration.
3. v = u + at: This equation relates the final velocity of an object with its initial velocity, acceleration, and time. v is the final velocity, u is the initial velocity, t is the time, and a is the acceleration.
4. v^2 = u^2 + 2as: This equation is derived from the equations of motion and relates the final velocity, initial velocity, displacement, and acceleration of an object. v is the final velocity, u is the initial velocity, a is the acceleration, and s is the displacement.
In the context of the given problem:
- a represents the acceleration of the electron in the electric field.
- u represents the initial velocity of the electron.
- s represents the displacement or distance traveled by the electron.
To find the magnitude of the electric field E, you need to apply these equations correctly and solve for the unknown variable E.