Question

You are working on a research project in which you must control the direction of travel of electrons using deflection plates. You have devised the apparatus shown in the figure below. The plates are of length ℓ = 0.250 m and are separated by a distance d = 1.65 cm. Electrons are fired at vi = 4.90 ✕ 106 m/s into a uniform electric field from the left edge of the lower, positive plate, aimed directly at the right edge of the upper, negative plate. Therefore, if there is no electric field between the plates, the electrons will follow the broken line in the figure. With an electric field existing between the plates, the electrons will follow a curved path, bending downward. (a) Determine the range of angles (in degrees) over which the electron can leave the apparatus. (Assume θ is measured counterclockwise from the +x-axis. Enter your answers as a comma–separated list from smallest to largest. Do not enter units in your answer.) (θmin, θmax) = ? ° (b) Determine the electric field (in N/C) required to give the maximum possible deviation angle. (Enter the magnitude.) N/C

Answer 1

Answer Lot charye on elechen d.65 C be and marSm' gweu milial Hho elactren F - 4.90x10°m/c elondy of Foreo en elechon be TU ma,(-e)(E FE-) LE eY }(-5 e Eo E Rike projectle motiou wham acaleroo eplacad y So all tia eg of projetia. ldicakls Now the queatieu due to gramty mdio alel re Maximum Height - ia d amd usine maxi nuva han is 1A angle for ohielu hs pa elechon ca is ha arimum ucose Hha plots escape Fer vetical motiou" (usine-2d 29Ed Sin e Simdandy Manan for Riange 'd'- usinze utsinio - O1 () wor Sint e 2d sin29 2d 2SMO-cos0

(4d\ sino .cwsO [sine sino Sine O mot maxi mm anfle X 4-d evis tane - tow'(4-X0.25о 1-65Xlo tavi Omas 89.05 feres acting lng boizonda Omin directhen AA thare is mo Enin ,9.0s) Range f ane (i lak Calendasting Elecbic fred usi neEo, um Sinz usi n20 e Eo el Eo (4-90xoxio (-6xto (0.25 m) (2x 89.05) Sin 12 T L8.02 Ec