A particle of charge +q and mass m is ejected from the point P with the initial velocity i = 30î + 20f("), traveling in a parabolic orbit with a maximum height d = 2cm in the uniform electric field and hitting the point Q at a distance of L = 10cm. Since the distance between the plates is 2d and the potential difference is 1000V, find the ratio of the particle's charge to its mass (q/m). (Ignore the gravitational force).

A particle of charge +q and mass m is ejected from the point P with the initial velocity i = 30î + 20f("), traveling in a parabolic orbit with a maximum height d = 2cm in the uniform electric field and hitting the point Q at a distance of L = 10cm. Since the distance between the plates is 2d and the potential difference is 1000V, find the ratio of the particle's charge to its mass (q/m). (Ignore the gravitational force).

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter20: Electric Potential And Capacitance

Section: Chapter Questions

Problem 21P: A particle with charge +q is at the origin. A particle with charge 2q is at x = 2.00 m on the x...

See similar textbooks

Similar questions

Two 5.00-nC charged particles are in a uniform electric field with a magnitude of 625 N/C. Each of the particles is moved from point A to point B along two different paths, labeled in Figure P26.65. a. Given the dimensions in the figure, what is the change in the electric potential experienced by the particle that is moved along path 1 (black)? b. What is the change in the electric potential experienced by the particle that is moved along path 2 (red)? c. Is there a path between the points A and B for which the change in the electric potential is different from your answers to parts (a) and (b)? Explain. FIGURE P26.65 Problems 65, 66, and 67.
(a) Find the potential difference VB required to stop an electron (called a slopping potential) moving with an initial speed of 2.85 107 m/s. (b) Would a proton traveling at the same speed require a greater or lesser magnitude potential difference? Explain. (c) Find a symbolic expression for the ratio of the proton stopping potential and the electron stopping potential, Vp/Ve. The answer should be in terms of the proton mass mp and electron mass me.
(a) Find the potential difference VB required to stop an electron (called a slopping potential) moving with an initial speed of 2.85 107 m/s. (b) Would a proton traveling at the same speed require a greater or lesser magnitude potential difference? Explain. (c) Find a symbolic expression for the ratio of the proton stopping potential and the electron stopping potential, Vp/Ve. The answer should be in terms of the proton mass mp and electron mass me.
An electric dipole is located along the y axis as shown in Figure P24.48. The magnitude of its electric dipole moment is defined as p = 2aq. (a) At a point P, which is far from the dipole (r a), show that the electric potential is V=kepcosr2 (b) Calculate the radial component Er and the perpendicular component E of the associated electric field. Note that E = (1/r)(V/). Do these results seem reasonable for (c) = 90 and 0? (d) For r = 0? (e) For the dipole arrangement shown in Figure P24.48, express V in terms of Cartesian coordinates using r = (x2 + y2)1/2 and cos=y(x2+y2)1/2 (f) Using these results and again taking r a, calculate the field components Ex and Ey. Figure P24.48
A proton is located at the origin, and a second proton is located on the x-axis at x = 6.00 fm (1 fm = 10-15 m). (a) Calculate the electric potential energy associated with this configuration. (b) An alpha particle (charge = 2e, mass = 6.64 1027 kg) is now placed at (x, y) = (3.00, 3.00) fm. Calculate the electric potential energy associated with this configuration. (c) Starting with the three-particle system, find the change in electric potential energy if the alpha particle is allowed to escape to infinity while the two protons remain fixed in place. (Throughout, neglect any radiation effects.) (d) Use conservation of energy to calculate the speed of the alpha particle at infinity. (e) If the two protons are released from rest and the alpha panicle remains fixed, calculate the speed of the protons at infinity.
An election enters a region between two large parallel plates made of aluminum separated by a distance of 2.0 cm and kept at a potential difference of 200 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 4.0103 m/s. Assume the electric field between the plates to be uniform, and find the speed of electron at (a) 0.10 cm, (b) 0.50 cm, (c) 1.0 cm, and (d) 1.5 cm from the negative plate, and (e) immediately before it hits the positive plate.
From a distance of 10 cm, a proton is projected with a speed of v=4.0106 m/s directly at a large, positively charged plate whose charge density is =2.0105 C/m2. (See below.) (a) Does the proton reach the plate? (b) If not, how far from the plate does it turn around?
A proton is fired from very far away directly at a fixed particle with charge q = 1.28 1018 C. If the initial speed of the proton is 2.4 105 m/s, what is its distance of closest approach to the fixed particle? The mass of a proton is 1.67 1027 kg.
A particle with charge +q is at the origin. A particle with charge 2q is at x = 2.00 m on the x axis. (a) For what finite value(s) of x is the electric field zero? (b) For what finite value(s) of x is the electric potential zero?
V. 2d P + Q V. A particle of charge +q and mass m is ejected from the point P with the initial velocity i = 30î + 20j("), traveling in a parabolic orbit with a maximum height 2cm in the uni form electric field and hitting the point Q at a distance of L = 10cm. Since the distance between the plates is 2d and the potential difference is 1000V, find the ratio of the particle's charge to its mass (q/m). (Ignore the gravitational force). d = a) 16. 10-2 (C b) 48. 10-2 kg c) 96. 10-2 (C d) 160.10-2 kg e) 240.10-2 Seçtiğiniz cevabın işaretlendiğini görene kadar bekleyiniz. Soruyu boş bırakmak isterseniz işai ya yazın 立

V+ 2d d P L' V. A particle of charge +q and mass m is ejected from the point P with the initial velocity i = 20î + 10f(), traveling in a parabolic orbit with a maximum height d = 2cm in the uniform electric field and hitting the point Q at a distance of L = 10cm. Since the distance between the plates is 2d and the potential difference is 1000V, find the ratio of the particle's charge to its mass (q/m). (Ignore the gravitational force). a) 16. 10-2 () kg b) 48. 10-2 (C kg c) 96. 10-2 (C kg d) 160. 10-2 ( kg e) 240. 10-2 kg.
2d d P + L' V. A particle of charge +q and mass m is ejected from the point P with the initial velocity i = 30î + 20j(), traveling in a parabolic orbit with a maximum height d = 2cm in the uniform electric field and hitting the point Q at a distance of L = 10cm. Since the distance between the plates is 2d and the potential difference is 1000V, find the ratio of the particle's charge to its mass (q/m). (Ignore the gravitational force). a) 16. 10-2 b) 48. 10-2 kg c) 96. 10-2 (C kg d) 160.10-² ( kg e) 240. 10-2