How Does an Electron's Path Deflect Over a Charged Plate?

AI Thread Summary
An electron with a kinetic energy of 5000.0 eV is analyzed for its vertical deflection after traveling 2.0 cm over a charged plate with a surface charge density of +2.0 μC m-2. The calculations include determining the electron's velocity, time of travel, electric field strength, force, acceleration, and vertical deflection. The computed vertical deflection is 0.00226 meters, but the result is disputed. The discussion highlights the need to identify any errors in the calculations or assumptions made during the analysis. The accuracy of the setup and calculations is crucial for determining the correct deflection value.
eltel2910
Messages
9
Reaction score
0
An electron with a kinetic energy 5000.0 eV (1 eV = 1.602×10-19 J) is fired horizontally over a charged plate with surface charge density +2.0 μC m-2. Taking the positive direction to be upwards (away from plate), what is the vertical deflection of the electron after it has traveled a horizontal distance 2.0 cm?

Here is my work:

Find V of electron - KE = .5mV ---> 41934557 = Velocity

time = s/V ----> .02m/41934557 --------> 4.769e^-10 = time

electric field E = sigma/2*Eo -----> 2.0e^-6/(2*(8.85*10^-12) ---->112994 = E

Force = q*E ------>(1.602*10^-19)(112994) ------->1.810e^-14 = F

acceleration = F/m -------> 1.810e^-14/(9.11*10^-31) = 1.98e^16. 9.11*10^-31=mass of one proton.

vertical deflection = d=.5at^2 --------> .00226=.5(1.98e^16)(4.769e^-10)^2

I come up with .00226 meters, but "the man" still says I'm wrong

Can you see anything wrong with my set up??
 
Physics news on Phys.org
eltel2910 said:
Find V of electron - KE = .5mV ---> 41934557 = Velocity

time = s/V ----> .02m/41934557 --------> 4.769e^-10 = time

electric field E = sigma/2*Eo -----> 2.0e^-6/(2*(8.85*10^-12) ---->112994 = E

Force = q*E ------>(1.602*10^-19)(112994) ------->1.810e^-14 = F

acceleration = F/m -------> 1.810e^-14/(9.11*10^-31) = 1.98e^16. 9.11*10^-31=mass of one proton.

vertical deflection = d=.5at^2 --------> .00226=.5(1.98e^16)(4.769e^-10)^2

Can't see anything wrong except the one that has been highlighted.
 
Thread 'Collision of a bullet on a rod-string system: query'
In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
Thread 'A cylinder connected to a hanged mass'
Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
Back
Top