1. Two point charges q, = +26µC and q2 = -17.5µC are 64 cm apart. a. What is the potential energy of the system of two charges? b. What is the electric potential at a point between them 24 cm from q,?

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
icon
Related questions
Question
INSTRUCTIONS:
Show your complete solution to each problem on a short bond paper.
Answers must be expressed in engineering notation (when the exponent of the base 10 multiplier
is not a multiple of 3, press ENG or SHIFT+ENG, whichever the case.)
Example: 0.06N or 6.0x10-2 N must be expressed to 60x10-3 N or 60mN
1. Two point charges q, = +26µC and q2 = -17.5µC are 64 cm apart.
a. What is the potential energy of the system of two charges?
b. What is the electric potential at a point between them 24 cm from q,?
2. Three point charges q1 = +2.7µC, q2 = -3.4µC and q3 = -1.6µC initially are infinitely far apart. They are then
brought together and placed at the corners of an equilateral triangle. Each side has a length of 40 cm.
Determine the total electric potential energy of these group of charges.
3. Two point charges q1 = 2.2nC and q2 = -1.5nC are 13 cm apart. Point A is midway between the charges and
point B is 12 cm from q, and 5 cm from q2. Calculate:
the electric potential at point A and at point B
b. the work done by the electric field on a charge of q3 = +3.6nC that moves from A to B
4. A certain amount of excess charge is transferred a conducting sphere with a diameter of 30 cm such that
the electric potential at the center of the sphere is equal to 2.5 kV.
a. How much charge was transferred to the conducting sphere?
b. Determine the electric potential at a point outside of the sphere with a distance of 5 cm from its surface.
c. Determine the charge density of the sphere. (Hint: surface or volume?)
5. At a corner of a 30 mm x 40 mm rectangle is placed a charge of
-40µC and at the two adjacent corners are charges of +20µC, as
shown in the figure. Determine:
a. The potential at the 4" corner P.
b. The potential at the center of the rectangle.
c. The work that must be done by an external force to bring a
charge q, = +5µC from the center of the rectangle to the 4th
91 = +20 µC
92 = -40 µC
B
30 mm
40 mm
43 = +20 µC
P
corner P.
Transcribed Image Text:INSTRUCTIONS: Show your complete solution to each problem on a short bond paper. Answers must be expressed in engineering notation (when the exponent of the base 10 multiplier is not a multiple of 3, press ENG or SHIFT+ENG, whichever the case.) Example: 0.06N or 6.0x10-2 N must be expressed to 60x10-3 N or 60mN 1. Two point charges q, = +26µC and q2 = -17.5µC are 64 cm apart. a. What is the potential energy of the system of two charges? b. What is the electric potential at a point between them 24 cm from q,? 2. Three point charges q1 = +2.7µC, q2 = -3.4µC and q3 = -1.6µC initially are infinitely far apart. They are then brought together and placed at the corners of an equilateral triangle. Each side has a length of 40 cm. Determine the total electric potential energy of these group of charges. 3. Two point charges q1 = 2.2nC and q2 = -1.5nC are 13 cm apart. Point A is midway between the charges and point B is 12 cm from q, and 5 cm from q2. Calculate: the electric potential at point A and at point B b. the work done by the electric field on a charge of q3 = +3.6nC that moves from A to B 4. A certain amount of excess charge is transferred a conducting sphere with a diameter of 30 cm such that the electric potential at the center of the sphere is equal to 2.5 kV. a. How much charge was transferred to the conducting sphere? b. Determine the electric potential at a point outside of the sphere with a distance of 5 cm from its surface. c. Determine the charge density of the sphere. (Hint: surface or volume?) 5. At a corner of a 30 mm x 40 mm rectangle is placed a charge of -40µC and at the two adjacent corners are charges of +20µC, as shown in the figure. Determine: a. The potential at the 4" corner P. b. The potential at the center of the rectangle. c. The work that must be done by an external force to bring a charge q, = +5µC from the center of the rectangle to the 4th 91 = +20 µC 92 = -40 µC B 30 mm 40 mm 43 = +20 µC P corner P.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Electric field
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON