Consider a dipole source made of a proton and an electron separated by 1.0 nm (10-9 m). Find the exact potential (by summing kq/r) at the following locations, check the sign of your answer, and compare to the dipole approximation (equation 22.6 in the text.) You may need to keep an unusual number of digits in intermediary calculations to find the non-zero value of the voltage. I am NOT looking for zero for any of the answers UNLESS the answer is exactly zero! Be careful in the dipole calculation of part e to find the cosine of the angle of r as measured from the MIDPOINT between the sources! And remember it is often simpler to use ratios of sides in a triangle for trig functions than to calculate an angle and then the cosine. (a) 1 nm from the proton, on axis * test point (b) 3 mm from the electron, on axis * test point (not to scale) (c) 1 nm above center, on perpendicular bisector * test point (d) 3 mm above center, on perpendicular bisector (e) 5 nm above the electron (diagram distances NOT to scale!) * test point e p
Consider a dipole source made of a proton and an electron separated by 1.0 nm (10-9 m). Find the exact potential (by summing kq/r) at the following locations, check the sign of your answer, and compare to the dipole approximation (equation 22.6 in the text.) You may need to keep an unusual number of digits in intermediary calculations to find the non-zero value of the voltage. I am NOT looking for zero for any of the answers UNLESS the answer is exactly zero! Be careful in the dipole calculation of part e to find the cosine of the angle of r as measured from the MIDPOINT between the sources! And remember it is often simpler to use ratios of sides in a triangle for trig functions than to calculate an angle and then the cosine. (a) 1 nm from the proton, on axis * test point (b) 3 mm from the electron, on axis * test point (not to scale) (c) 1 nm above center, on perpendicular bisector * test point (d) 3 mm above center, on perpendicular bisector (e) 5 nm above the electron (diagram distances NOT to scale!) * test point e p
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
![Consider a dipole source made of a proton and an electron separated by 1.0 nm (10-9 m). Find the
exact potential (by summing kq/r) at the following locations, check the sign of your answer, and
compare to the dipole approximation (equation 22.6 in the text.) You may need to keep an unusual
number of digits in intermediary calculations to find the non-zero value of the voltage. I am NOT
looking for zero for any of the answers UNLESS the answer is exactly zero!
Be careful in the dipole calculation of part e to find the cosine of the angle of r as measured from
the MIDPOINT between the sources! And remember it is often simpler to use ratios of sides in a
triangle for trig functions than to calculate an angle and then the cosine.
(a) 1 nm from the proton, on axis
* test point
(b) 3 mm from the electron, on axis
* test point (not to scale)
(c) 1 nm above center, on perpendicular bisector
* test point
(d) 3 mm above center, on perpendicular bisector
(e) 5 nm above the electron (diagram distances NOT to scale!)
* test point
e.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5acd57cb-8caa-425c-a4b4-b567d1bce805%2F1592fb3e-fe63-4742-bc0b-2c34ee23bf81%2Fwltf6q_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider a dipole source made of a proton and an electron separated by 1.0 nm (10-9 m). Find the
exact potential (by summing kq/r) at the following locations, check the sign of your answer, and
compare to the dipole approximation (equation 22.6 in the text.) You may need to keep an unusual
number of digits in intermediary calculations to find the non-zero value of the voltage. I am NOT
looking for zero for any of the answers UNLESS the answer is exactly zero!
Be careful in the dipole calculation of part e to find the cosine of the angle of r as measured from
the MIDPOINT between the sources! And remember it is often simpler to use ratios of sides in a
triangle for trig functions than to calculate an angle and then the cosine.
(a) 1 nm from the proton, on axis
* test point
(b) 3 mm from the electron, on axis
* test point (not to scale)
(c) 1 nm above center, on perpendicular bisector
* test point
(d) 3 mm above center, on perpendicular bisector
(e) 5 nm above the electron (diagram distances NOT to scale!)
* test point
e.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps with 3 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
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](https://www.bartleby.com/isbn_cover_images/9781305952300/9781305952300_smallCoverImage.gif)
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
![University Physics (14th Edition)](https://www.bartleby.com/isbn_cover_images/9780133969290/9780133969290_smallCoverImage.gif)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
![Introduction To Quantum Mechanics](https://www.bartleby.com/isbn_cover_images/9781107189638/9781107189638_smallCoverImage.jpg)
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
![College Physics](https://www.bartleby.com/isbn_cover_images/9781305952300/9781305952300_smallCoverImage.gif)
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
![University Physics (14th Edition)](https://www.bartleby.com/isbn_cover_images/9780133969290/9780133969290_smallCoverImage.gif)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
![Introduction To Quantum Mechanics](https://www.bartleby.com/isbn_cover_images/9781107189638/9781107189638_smallCoverImage.jpg)
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
![Physics for Scientists and Engineers](https://www.bartleby.com/isbn_cover_images/9781337553278/9781337553278_smallCoverImage.gif)
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
![Lecture- Tutorials for Introductory Astronomy](https://www.bartleby.com/isbn_cover_images/9780321820464/9780321820464_smallCoverImage.gif)
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…](https://www.bartleby.com/isbn_cover_images/9780134609034/9780134609034_smallCoverImage.gif)
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON