An electron enters a region between two large parallel plates made of aluminum separated by a distance of 2.6 cm and kept at a potential difference of 121 V. The electron enters through a small hole in the negative plate and moves toward the positive plate. At the time the electron is near the negative plate, its speed is 4.1 × 10^3 m/s. Assume the electric field between the plates to be uniform.
Part 1:
a. Draw the electric field between the plates.
b. Draw equipotential surfaces between the plates.
Part 2:
a. Calculate the magnitude of the electric field between the plates. Include/write all formulas used.
b. Calculate the change in potential energy of the electron in moving from the negative to the positive plate. Include/write all formulas used.
Find the speed of the electron immediately before it hits the positive plate. Show the physics approach and solve for the speed symbolically before entering numerical values. Include/write all formulas used.
Note: Need symbolic solution and also the numerical values.
NOTE: V is the voltage between the plates and v is the speed of the electron.
Charge on an electron e = -1.6 × 10^-19 C.
Mass of an electron m = 9.1 × 10^-31 kg.