Concept explainers
(a)
The speed of orbiting particle.
(a)
Answer to Problem 60PQ
The speed of orbiting particle is
Explanation of Solution
Write an expression for the culoumb force.
Here,
Write an expression for the centripetal force.
Here,
The centripetal force and culoumb force are balances to keep the particle in motion.
Equate equation (I) and (II).
Rearrange equation (III) to find
Conclusion:
Substitute
Thus, the speed of orbiting particle is
(b)
Electric potential energy of the system.
(b)
Answer to Problem 60PQ
Electric potential energy of the system is
Explanation of Solution
Write an expression for the electric potential energy of the system.
Here,
Conclusion:
Substitute
Thus, the electric potential energy of the system is
(c)
Total energy of the system.
(c)
Answer to Problem 60PQ
The total energy of the system is
Explanation of Solution
Write an expression for the kinetic energy.
Here,
Write an expression for the total energy.
Here,
Conclusion:
Substitute
Substitute
Thus, the total energy of the system is
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Chapter 26 Solutions
Physics for Scientists and Engineers: Foundations and Connections
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- (a) Find the electric potential difference Ve required to stop an electron (called a stopping 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 of electric potential difference? Explain. (c) Find a symbolic expression for the ratio of the proton stopping potential and the electron stopping potential. Vp/Ve.arrow_forwardAt 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?arrow_forwardTwo 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.arrow_forward
- (a) What is the final speed of an electron accelerated from rest through a voltage of 25.0 MV by a negatively charged Van de Graff terminal? (b) What is unreasonable about this result? (c) Which assumptions are responsible?arrow_forward(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.arrow_forwardThe electric field strength between two parallel conducting plates separated by 4.00 cm is 7.50 104 V/m. (a) What is the potential difference between the plates? (b) The plate with the lowest potential is taken to be at zero volts. What is the potential 1.00 cm from that plate (and 3.00 cm from the other)?arrow_forward
- Figure P26.35 shows four particles with identical charges of +5.75 C arrayed at the vertices of a rectangle of width 25.0 cm and height 55.0 cm. What is the change in the electric potential energy of this system if particles A, B, and C are held in place and particle D is brought from infinity to the position shown in the figure? FIGURE P26.35arrow_forwardAt 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?arrow_forward(a) Calculate the electric potential 0.250 cm from ail electron, (b) What is the electric potential difference between two points that are 0.250 cm and 0.750 cm from an electron? (c) How would the answers change if the electron were replaced with a proton?arrow_forward
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