Consider the parallel-plate capacitor shown in the figure. The plate separation is 2.1 mm and the electric field inside is 15 N/C. An electron is positioned halfway between the plates and is given some initial velocity, vi. a) What speed, in meters per second, must the electron have in order to make it to the negatively charged plate?  b) If the electron has half the speed needed to reach the negative plate, it will turn around and go towards the positive plate. What will its speed be, in meters per second, when it reaches the positive plate in this case?

A 0.079 μF capacitor is being held at a potential difference of 490 μV. a) What is the charge, in coulombs, on one of the plates?  b)  If you measure the size of each plate to be 49 cm2, how far apart are the plates, in micrometers?  c)  What is the magnitude of the electric field inside this capacitor, in newtons per coulomb?

MY N An electron is to be accelerated in a uniform electric field having a strength of 1.90 x 106 v/m. (a) What energy in kev is given to the electron if it is accelerated through 0.790 m? kev (b) Over what distance would it have to be accelerated to increase its energy by 50.0 GeV (as in the Stanford Linear Accelerator, which is actually smaller than this)? km Additional Materials

One type of ink-jet printer, called an electrostatic ink-jet printer, forms the letters by using deflecting electrodes to steer charged ink drops up and down vertically as the ink jet sweeps horizontally across the page. The ink jet forms 35.0 μm-diameter drops of ink, charges them by spraying 800,000 electrons on the surface, and shoots them toward the page with a horizontal velocity of 17.0 m/s. Along the way, the drops pass through the long axis of two horizontal, parallel electrodes that are 6.0 mm long, 4.0 mm wide, and spaced 1.0 mm apart. The distance from the center of the electrodes to the paper is 1.90 cm. To form the letters, which have a maximum height of 6.0 mm, the drops need to be deflected up or down a maximum of 3.0 mm. Ink, which consists of dye particles suspended in alcohol, has a density of 800 kg/m³. 3 E D 80 C $ 4 R 888 F4 F V % 5 FS T ^ G 6 B Part A What electric field strength is needed between the electrodes to achieve this deflection? Express your answer with…