A point charge q1 = 3.90 nC is placed at the origin,and a second point charge q2 = -2.90 nC is placedon the x-axis at x =+ 20.5 cm. A third pointcharge q3 = 1.90 nC is to be placed on the x-axisbetween q1 and q2. (Take as zero the potentialenergy of the three charges when they are infinitelyfar apart.)%3DWhat is the potential energy of the system of the three charges if q3 is placed atx = + 10.5 cm?Express your answer in joules.Where should q3 be placed between q1 and q2 to make the potential energy of the systemequal to zero?Express your answer in centimeters.

Answered: Image /qna-images/answer/35d4a28f-0831-488d-97ce-edf79053855a.jpg

A point charge qı = 3.90 nC is placed at the origin, and a second point charge q2 = -2.90 nC is placed on the x-axis at x = + 20.5 cm. A third point charge q3 = 1.90 nC is to be placed on the x-axis between q1 and q2. (Take as zero the potential energy of the three charges when they are infinitely far apart.) What is the potential energy of the system of the three charges if q3 is placed at x = + 10.5 cm? Express your answer in joules. to make the potential energy of the system Where should q3 be placed between equal to zero? 91 and 92

A point charge qı = 3.90 nC is placed at the origin, and a second point charge q2 = -2.90 nC is placed on the x-axis at x = + 20.5 cm. A third point charge q3 = 1.90 nC is to be placed on the x-axis between q1 and q2. (Take as zero the potential energy of the three charges when they are infinitely far apart.) What is the potential energy of the system of the three charges if q3 is placed at x = + 10.5 cm? Express your answer in joules. to make the potential energy of the system Where should q3 be placed between equal to zero? 91 and 92

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter26: Electric Potential

Section: Chapter Questions

Problem 14PQ: Four charged particles are at rest at the corners of a square (Fig. P26.14). The net charges are q1...

See similar textbooks

Similar questions

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 and an alpha particle (charge = 2e, mass = 6.64 1027 kg) are initially at rest, separated by 4.00 1015 m. (a) If they are both released simultaneously, explain why you cant find their velocities at infinity using only conservation of energy. (b) What other conservation law can be applied in this case? (c) Find the speeds of the proton and alpha particle, respectively, at infinity.
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.
If a negatively charged particle is placed at rest in an electric potential field that increases in the positive x-direction, will the panicle (a) accelerate in the positive x-direction, (b) accelerate in the negative x-direction, or (c) remain at rest?
At a certain distance from a charged particle, the magnitude of the electric field is 500 V/m and the electric potential is 3.00 kV. (a) What is the distance to the particle? (b) What is the magnitude of the charge?
Given two particles with 2.00-C charges as shown in Figure P20.9 and a particle with charge q = 1.28 1018 C at the origin, (a) what is the net force exerted by the two 2.00-C charges on the test charge q? (b) What is the electric field at the origin due to the two 2.00-C particles? (c) What is the electric potential at the origin due to the two 2.00-C particles? Figure P20.9
A spherical balloon contains a positively charged particle at its center. As the balloon is inflated to a larger volume while the charged particle remains at the center, which of the following are true? (a) The electric potential at the surface of the balloon increases. (b) The magnitude of the electric field at the surface of the balloon increases. (c) The electric flux through the balloon remains the same. (d) None of these.
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.
Given two particles with 2.00-C charges as shown in Figure P25.19 and a particle with charge q = 1.28 10-18 C at the origin, (a) what is the net force exerted by the two 2.00-C; charges on the charge q? (b) What is the electric field at the origin due to the two 2.00-C particles? (c) What is the electric potential at the origin due to the two 2.00-C particles?
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?
Three charges are situated at corners of a rectangle as in Figure P16.13. How much work must an external agent do to move the 8.00-C charge to infinity? Figure P16.13 Problems 13 and 14.
It is shown in Example 24.7 that the potential at a point P a distance a above one end of a uniformly charged rod of length lying along the x axis is V=keQlln(l+a2+l2a) Use this result to derive an expression for the y component of the electric field at P.