Two charged Q₁ = -1.4μC and Q2 = -4.2μC are placed on the two corners of a square as shown in the figure below. If the side length of the square is a = 61.4mm, how much work is required to bring a thir charge Q3 = 3.4μC from infinitely far away to the empty bottom-right corner of the square? Please take k = 9.0x10° N. m²/C² and express your answer using two decimal places in units of J or N.m.

Two charged Q₁ = -1.4μC and Q2 = -4.2μC are placed on the two corners of a square as shown in the figure below. If the side length of the square is a = 61.4mm, how much work is required to bring a thir charge Q3 = 3.4μC from infinitely far away to the empty bottom-right corner of the square? Please take k = 9.0x10° N. m²/C² and express your answer using two decimal places in units of J or N.m.

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter7: Electric Potential

Section: Chapter Questions

Problem 100AP: A point charge of q=50108 C is placed at the center of an uncharged spherical conducting shell of...

See similar textbooks

Similar questions

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.
Initially a glass rod and a piece of silk are neutral. After you rub the silk against the rod, the glass rod has a surplus of 3.33 1011 protons. What is the charge q of the silk?
Four charged particles are at rest at the corners of a square (Fig. P26.14). The net charges are q1 = q2 = 2.65 C and q3 = q4 = 5.15 C. The distance between particle 1 and particle 3 is r13 = 1.75 cm. a. What is the electric potential energy of the four-particle system? b. If the particles are released from rest, what will happen to the system? In particular, what will happen to the systems kinetic energy as their separations become infinite? FIGURE P26.14 Problems 14, 15, and 16.
Four charged particles are at rest at the corners of a square (Fig. P26.14). The net charges are q1 = q2 = +2.65 C and q3 = q4 = 5.15 C. The distance between particle 1 and particle 3 is r13 = 1.75 cm. a. What is the electric potential energy of the four-particle system? b. If the particles are released from rest, what will happen to the system? In particular, what will happen to the systems kinetic energy?
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.
Four balls, each with mass m, are connected by four nonconducting strings to form a square with side a as shown in Figure P25.74. The assembly is placed on a nonconducting. frictionless. horizontal surface. Balls 1 and 2 each have charge q, and balls 3 and 4 are uncharged. After the string connecting halls 1 and 2 is cut, what is the maximum speed of balls 3 and 4?
A thin conducing plate 2.0 m on a side is given a total charge of 10.0C . (a) What is the electric field 1.0 cm above the plate? (b) What is the force on an electron at this point? (c) Repeat these calculations for a point 2.0 cm above the plate. (d) When the electron moves from 1.0 to 2.0 cm above the plate, how much work is done on it by the electric field?
A particle with charge q on the negative x axis and a second particle with charge 2q on the positive x axis are each a distance d from the origin. Where should a third particle with charge 3q be placed so that the magnitude of the electric field at the origin is zero?
A point charge of q=50108 C is placed at the center of an uncharged spherical conducting shell of inner radius 6.0 cm and outer radius 9.0 cm. Find the electric potential at (a) r = 4,0cm, (b) r = 8.0 cm, (c) r — 12.0 cm.
Three identical conducting spheres are fixed along a single line. The middle sphere is equidistant from the other two so that the center-to-center distance between the middle sphere and either of the other two is 0.125 m. Initially, only the middle sphere is charged, with qmiddle = +35.6 nC. The middle sphere is later connected by a conducting wire to the sphere on the left. The wire is removed and then used to connect the middle sphere to the sphere on the right. The wire is again removed. a. C What is the charge on each sphere? b. C Which sphere experiences the greatest electrostatic force? c. N What is the magnitude of that force?
Two small beads having positive charges q1 = 3q and q2 = q are fixed at the opposite ends of a horizontal insulating rod of length d = 1.50 m. The bead with charge q1 is at the origin. As shown in Figure P19.7, a third small, charged bead is free to slide on the rod. (a) At what position x is the third bead in equilibrium? (b) Can the equilibrium be stable?
Common static electricity involves charges ranging from nanocoulombs to microcoulombs. (a) How many electrons are needed to folm a chalge of 2.00 nC? (b) How many elections must be removed from a neutral object to leave a net chalge of 0.500 C ?