Consider the dipole in Eigure 7.20 with the charge magnitude of q = 3.0 nC and separation distance d = 4.0 cm. What is the potential at the following locations in space? (aə) (0, 0, 1.0 cm); (b) (0, 0, -5.0 cm); (c) (3.0 cm, 0, 2.0 cm). q = 3.0 nC • (3.0 cm, 0, 2.0 cm) %3D (0, 0, 1.0 cm) d = 4.0 cm o q = -3.0 nC (0, 0, -5.0 cm)

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Consider the dipole in Figure 7.20 with the charge magnitude of q=3.0nCq=3.0nC and separation distance d=4.0cm.d=4.0cm. What is the potential at the following locations in space? (a) (0, 0, 1.0 cm); (b) (0, 0, –5.0 cm); (c) (3.0 cm, 0, 2.0 cm).

 

 

I am not sure how they book got the numbers in the denominater like .07, .03, .05. can someone explain this to me?

Mail - Sh X
E 7.3 Calcu x
E Ch. 6 Intr X
E Answer
Courses
Bb Blackboa x E applicati X
E writing
C Name.C Xx +
A openstax.org/books/university-physics-volume-2/pages/7-3-calculations-of-electric-potential#fs-id1167585020408
( University Physics Volume 2
7.3 Calculations of Electric Potential
E Table of contents
E My highlights
Search this book
Electric Cnarges anu ielus
Electric Potential of a Dipole
•6 Gauss's Law
Consider the dipole in Figure 7.20 with the charge magnitude of q = 3.0 nC and separation distance
d = 4.0 cm. What is the potential at the following locations in space? (a) (0, 0, 1.0 cm); (b) (0, 0, -5.0 cm);
-7
Electric Potential
Introduction
(c) (3.0 cm, 0, 2.0 cm).
Add a note..
7.1 Electric Potential Energy
7.2 Electric Potential and
ZA
Potential Difference
7.3 Calculations of Electric
Potential
+ q = 3.0 nC
• (3.0 cm, 0, 2.0 cm)
7.4 Determining Field from
Potential
(0, 0, 1.0 cm)
7.5 Equipotential Surfaces and
Conductors
d = 4.0 cm 0
7.6 Applications of
Electrostatics
• Chapter Review
•8 Capacitance
q = -3.0 nC
•9 Current and Resistance
• 10 Direct-Current Circuits
• 11 Magnetic Forces and Fields
• 12 Sources of Magnetic Fields
• 13 Electromagnetic Induction
• 14 Inductance
• (0, 0, -5.0 cm)
• 15 Alternating-Current Circuits
• 16 Electromagnetic Waves
A IIUnito
Fiaure 7 20A general diagram of an electric dinole and the notation for the distances
12:12 PM
45°F
ENG
2/10/2022
...
(8)
Transcribed Image Text:Mail - Sh X E 7.3 Calcu x E Ch. 6 Intr X E Answer Courses Bb Blackboa x E applicati X E writing C Name.C Xx + A openstax.org/books/university-physics-volume-2/pages/7-3-calculations-of-electric-potential#fs-id1167585020408 ( University Physics Volume 2 7.3 Calculations of Electric Potential E Table of contents E My highlights Search this book Electric Cnarges anu ielus Electric Potential of a Dipole •6 Gauss's Law Consider the dipole in Figure 7.20 with the charge magnitude of q = 3.0 nC and separation distance d = 4.0 cm. What is the potential at the following locations in space? (a) (0, 0, 1.0 cm); (b) (0, 0, -5.0 cm); -7 Electric Potential Introduction (c) (3.0 cm, 0, 2.0 cm). Add a note.. 7.1 Electric Potential Energy 7.2 Electric Potential and ZA Potential Difference 7.3 Calculations of Electric Potential + q = 3.0 nC • (3.0 cm, 0, 2.0 cm) 7.4 Determining Field from Potential (0, 0, 1.0 cm) 7.5 Equipotential Surfaces and Conductors d = 4.0 cm 0 7.6 Applications of Electrostatics • Chapter Review •8 Capacitance q = -3.0 nC •9 Current and Resistance • 10 Direct-Current Circuits • 11 Magnetic Forces and Fields • 12 Sources of Magnetic Fields • 13 Electromagnetic Induction • 14 Inductance • (0, 0, -5.0 cm) • 15 Alternating-Current Circuits • 16 Electromagnetic Waves A IIUnito Fiaure 7 20A general diagram of an electric dinole and the notation for the distances 12:12 PM 45°F ENG 2/10/2022 ... (8)
Mail - Sh X
E 7.3 Calcu x
E Ch. 6 Intr X
E Answer
Courses
Bb Blackboa x E applicati X
E writing
C Name.C Xx +
A openstax.org/books/university-physics-volume-2/pages/7-3-calculations-of-electric-potential#fs-id1167585020408
( University Physics Volume 2
7.3 Calculations of Electric Potential
E Table of contents
Search this book
E My highlights
Electric Cnarges anu ielus
•6 Gauss's Law
-7
Electric Potential
Figure 7.20 A general diagram of an electric dipole, and the notation for the distances
from the individual charges to a point P in space.
Introduction
7.1 Electric Potential Energy
Strategy
7.2 Electric Potential and
N
Potential Difference
Apply Vp = k
to each of these three points.
7.3 Calculations of Electric
1
Potential
Solution
7.4 Determining Field from
Potential
N
li
(9.0 x 10° N - m²/C²) (
ri
3.0 nС
0.010 m
3.0 nC
0.030 m
a. Vp = k
= 1.8 x 103 V
7.5 Equipotential Surfaces and
Conductors
N
li
7.6 Applications of
Electrostatics
3.0 nC
(9.0 x 10° N m?/C²) (
3.0 nC
b. Vp = k)
= -5.1 x 10² V
0.070 m
0.030 m
• Chapter Review
N
li
c. Vp = k)
3.0 nC
(9.0 x 10° N · m² /C²) ( 3.0 nC
= 3.6 x 10 V
0.030 m
0.050 m
•8 Capacitance
•9 Current and Resistance
Significance
• 10 Direct-Current Circuits
Note that evaluating potential is significantly simpler than electric field, due to potential being a scalar
• 11 Magnetic Forces and Fields
instead of a vector.
• 12 Sources of Magnetic Fields
• 13 Electromagnetic Induction
• 14 Inductance
CHECK YOUR UNDERSTANDING 7.9
• 15 Alternating-Current Circuits
• 16 Electromagnetic Waves
Check Your Understanding What is the potential on the x-axis? The z-axis?
A IIUnito
12:13 PM
45°F
ENG
2/10/2022
...
(8)
Transcribed Image Text:Mail - Sh X E 7.3 Calcu x E Ch. 6 Intr X E Answer Courses Bb Blackboa x E applicati X E writing C Name.C Xx + A openstax.org/books/university-physics-volume-2/pages/7-3-calculations-of-electric-potential#fs-id1167585020408 ( University Physics Volume 2 7.3 Calculations of Electric Potential E Table of contents Search this book E My highlights Electric Cnarges anu ielus •6 Gauss's Law -7 Electric Potential Figure 7.20 A general diagram of an electric dipole, and the notation for the distances from the individual charges to a point P in space. Introduction 7.1 Electric Potential Energy Strategy 7.2 Electric Potential and N Potential Difference Apply Vp = k to each of these three points. 7.3 Calculations of Electric 1 Potential Solution 7.4 Determining Field from Potential N li (9.0 x 10° N - m²/C²) ( ri 3.0 nС 0.010 m 3.0 nC 0.030 m a. Vp = k = 1.8 x 103 V 7.5 Equipotential Surfaces and Conductors N li 7.6 Applications of Electrostatics 3.0 nC (9.0 x 10° N m?/C²) ( 3.0 nC b. Vp = k) = -5.1 x 10² V 0.070 m 0.030 m • Chapter Review N li c. Vp = k) 3.0 nC (9.0 x 10° N · m² /C²) ( 3.0 nC = 3.6 x 10 V 0.030 m 0.050 m •8 Capacitance •9 Current and Resistance Significance • 10 Direct-Current Circuits Note that evaluating potential is significantly simpler than electric field, due to potential being a scalar • 11 Magnetic Forces and Fields instead of a vector. • 12 Sources of Magnetic Fields • 13 Electromagnetic Induction • 14 Inductance CHECK YOUR UNDERSTANDING 7.9 • 15 Alternating-Current Circuits • 16 Electromagnetic Waves Check Your Understanding What is the potential on the x-axis? The z-axis? A IIUnito 12:13 PM 45°F ENG 2/10/2022 ... (8)
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