An electron enters a region of uniform electric field between two closely spaced, oppositely charged plates as shown below with an initial speed of m/s. Upon exiting the region, it has been deflected upward. The horizontal displacement of the electron through the plates is 5 cm, and the plates are separated a distance 5 mm.
An alpha particle is accelerated by two closely spaced, oppositely charged plates, as shown below.
The alpha particle has a speed of m/s when it enters a slit in the positively charged plate. After traveling for 1 mm, it passes through a slit in the negatively charged plate. If the magnitude of the charge of each plate is , and if each plate has an area of , what will be the speed of the alpha particle when it reaches the negatively charged plate? (Note: the plate separation is small compared to the dimensions of the plates.)
A thin rod of length has a uniform charge . (a) Write an expression for the potential difference , if points A and B are very close to the rod in comparison to the length of the rod. (b) Find the potential difference if the rod's length is 1 m, the rod's charge is , point A is 1 mm from the rod, point B is 3 mm from the rod, and point C is 3 mm from the rod and 1 mm from point B.