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)...
Related questions
Question
Equal charges of 3 x 10^-9 C are situated at the three corners of a square of side 5.2 m. Find the potential at the unoccupied corner.
![Sample Problems 2.3
1. A point charge of – 6.00×10 ° C is 3.00 m from point A and 5.00 m from point B. (a) Find the
potential at point A and point B. (b) How much work is done by the electric field in moving a
2.00 nC particle from point A to point B?
Given: q=-6.0×10-°C
distance r, of point A from charge =3.00 m
distance rg of point B from charge=5.00 m
Solution:
(9×10° N·m²/C³X-6.00×10~° C)
kq
VA
"A
=-18.0 V
а.
%3D
3.00 m
(9×10° N-m²/C³X-6.00×10° C)
kq
VB
'B
=-10.8 V
5.00 m
b.
Using Eq. (2.3),
W
= (V – Vg)
W = q(V – Vg) =(2.00×10°C)[(-18.0 V)-(-10,8 V)]=1.44×10* J
5.00x10-7 C, q, = -3.00x10-7 C, q, = -2.00x10-7 C,
Four charges, 91 =
and q4 = 6.00×10-7 C, are situated at the corners of a square of side 4.00 m.
Find the potential at the center of the square.
2.
4 m
92
Given: 9, = 5.00×10-7 C
92 = -3.00×10-7 C
94
--- 4 m
93 = -2.00×10 ’ C
94 = 6.00×10-7 C
Solution:
All four charges are equidistant from the center of the square. Let d be the distance from
the center of the square to a corner. This distance is one half of the diagonal. The diagonal of the
square is computed using the Pythagorean theorem.
d =V(1.0 m)' +(4.0 m)² = 2.83 m
Using Eq. (2.4),
kq
V
d
(9×10° N m²/C²X5.00×10 'C)
=1590 V
2.83 m
(9×10’ N m²/C³)X-3.00×10 'C)
kq,
V2
d
=-954 V
2.83 m
kq,_ (9×10° N m² 'C³)(-2.00×10¯"C)
V,
-636 V
%3D
2.83 m
(9×10°N·m²/c³X6.00×10-°C)
V =
1910 V
2.83 m
Therefore, the potential V
at the center of the square is
center
= 1590 V – 954 V – 636 V + 1910 V = +1910 V.
V center
Practice Exercises 2.3
1. A particle of charge 3×10-9 C is located at point (0, 0) in a certain
coordinate system. Assuming all lengths are in meters, calculate the
potential at the following points: A (3, 3) and B (0, 2). How much work is
needed to take a particle of charge 2x10-5 C from point A to point B?
2. Equal charges of 3.00×10-9 C are situated at the three corners of a
of side 5.20 m. Find the potential at the unoccupied corner.
В
square
q= 3x10-9 C](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F324227e3-27b0-47cd-923a-655e2a6a59c8%2Fa7d5a64f-fdef-4541-90cd-be8a1e0f6ccf%2F6zekkhi_processed.png&w=3840&q=75)
Transcribed Image Text:Sample Problems 2.3
1. A point charge of – 6.00×10 ° C is 3.00 m from point A and 5.00 m from point B. (a) Find the
potential at point A and point B. (b) How much work is done by the electric field in moving a
2.00 nC particle from point A to point B?
Given: q=-6.0×10-°C
distance r, of point A from charge =3.00 m
distance rg of point B from charge=5.00 m
Solution:
(9×10° N·m²/C³X-6.00×10~° C)
kq
VA
"A
=-18.0 V
а.
%3D
3.00 m
(9×10° N-m²/C³X-6.00×10° C)
kq
VB
'B
=-10.8 V
5.00 m
b.
Using Eq. (2.3),
W
= (V – Vg)
W = q(V – Vg) =(2.00×10°C)[(-18.0 V)-(-10,8 V)]=1.44×10* J
5.00x10-7 C, q, = -3.00x10-7 C, q, = -2.00x10-7 C,
Four charges, 91 =
and q4 = 6.00×10-7 C, are situated at the corners of a square of side 4.00 m.
Find the potential at the center of the square.
2.
4 m
92
Given: 9, = 5.00×10-7 C
92 = -3.00×10-7 C
94
--- 4 m
93 = -2.00×10 ’ C
94 = 6.00×10-7 C
Solution:
All four charges are equidistant from the center of the square. Let d be the distance from
the center of the square to a corner. This distance is one half of the diagonal. The diagonal of the
square is computed using the Pythagorean theorem.
d =V(1.0 m)' +(4.0 m)² = 2.83 m
Using Eq. (2.4),
kq
V
d
(9×10° N m²/C²X5.00×10 'C)
=1590 V
2.83 m
(9×10’ N m²/C³)X-3.00×10 'C)
kq,
V2
d
=-954 V
2.83 m
kq,_ (9×10° N m² 'C³)(-2.00×10¯"C)
V,
-636 V
%3D
2.83 m
(9×10°N·m²/c³X6.00×10-°C)
V =
1910 V
2.83 m
Therefore, the potential V
at the center of the square is
center
= 1590 V – 954 V – 636 V + 1910 V = +1910 V.
V center
Practice Exercises 2.3
1. A particle of charge 3×10-9 C is located at point (0, 0) in a certain
coordinate system. Assuming all lengths are in meters, calculate the
potential at the following points: A (3, 3) and B (0, 2). How much work is
needed to take a particle of charge 2x10-5 C from point A to point B?
2. Equal charges of 3.00×10-9 C are situated at the three corners of a
of side 5.20 m. Find the potential at the unoccupied corner.
В
square
q= 3x10-9 C
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
Knowledge Booster
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.Recommended textbooks for you
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
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…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON