1. Two identical positive point charges, Q, each with charge + 5.00 µC are placed as shown on the y-axis. Refer to the drawing for more details. a. Calculate the total electric field at point P. b. Calculate the total electric potential (i.e. voltage) at point P. c. Using the result from part a., find the net electric force on a point charge q = + 9.00 µC, if it is placed at point P. Ignore gravitational forces. d. Using the result from part b., find the change in electric potential energy of the system, if the point charge, q=+ 9.00 µC, is brought in from very far away and placed at point P. y axis 0.270 m x axis 0,400 m

1. Two identical positive point charges, Q, each with charge + 5.00 µC are placed as shown on the y-axis. Refer to the drawing for more details. a. Calculate the total electric field at point P. b. Calculate the total electric potential (i.e. voltage) at point P. c. Using the result from part a., find the net electric force on a point charge q = + 9.00 µC, if it is placed at point P. Ignore gravitational forces. d. Using the result from part b., find the change in electric potential energy of the system, if the point charge, q=+ 9.00 µC, is brought in from very far away and placed at point P. y axis 0.270 m x axis 0,400 m

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 9P: Given two particles with 2.00-C charges as shown in Figure P20.9 and a particle with charge q = 1.28...

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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 as their separations become infinite?
(a) What is the electric field 5.00 m from die center of the terminal of a Van de Graaff with a 3.00-mC charge, noting that the field is equivalent to that of a point charge at the center of the terminal? (b) At this distance, what force does the field exert on a 2.00C charge on the Van de Graaff’s belt?
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.
From Gauss's law, the electric field set up by a uniform line of charge is E=(20r)r where r is a unit vector pointing radially away from the line and is the linear charge density along the line. Derive an expression for the potential difference between r = r1, and r = r2.
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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?
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.
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