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Problem 1: Derive Equation 23.11 of the textbook for the field Edipole in the plane that bisects an electric dipole, Edipole 1 p 4περ 13 3 where p is the dipole moment. a) In Fig. 1, draw the vectors that represent the electric fields E. and

Problem 1: Derive Equation 23.11 of the textbook for the field Edipole in the plane that bisects an electric dipole, Edipole 1 p 4περ 13 3 where p is the dipole moment. a) In Fig. 1, draw the vectors that represent the electric fields E. and

College Physics
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)...
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I need help with a,b, and c. My professor won't help me and I am helping problem will this problem. Can you label which one is A, B and C, thank you so much

Problem 1: Derive Equation 23.11 of the textbook for the field Edipole in the plane that bisects an electric dipole, Ēdipole 1 p 4πε 13 ને ર q el P where p is the dipole moment. -8 FIG. 1: The scheme for Problem 1 a) In Fig. 1, draw the vectors that represent the electric fields Ē, and E-generated in point P by the charges q and -q, respectively. Draw a vector that represents the dipole moment of the system, p. Which (horizontal or vertical) components of the fields Ē, and E_ cancel each other and which components add up? Is the direction of the total field E in point P the same as the direction of p or opposite to it? b) Compute the absolute values of those components of E, and E_ that do not cancel each other and use them to find the magnitude of the total electric field in point P, |E|. You can use the angle shown in the diagram, but make sure to express the final answer in terms of r, s, and q. c) Find the limit of El for r»s. What is the magnitude of the dipole moment p? Taking into account the directions of vectors E and p, can you reproduce Equation 23.11 of the textbook?
Transcribed Image Text:Problem 1: Derive Equation 23.11 of the textbook for the field Edipole in the plane that bisects an electric dipole, Ēdipole 1 p 4πε 13 ને ર q el P where p is the dipole moment. -8 FIG. 1: The scheme for Problem 1 a) In Fig. 1, draw the vectors that represent the electric fields Ē, and E-generated in point P by the charges q and -q, respectively. Draw a vector that represents the dipole moment of the system, p. Which (horizontal or vertical) components of the fields Ē, and E_ cancel each other and which components add up? Is the direction of the total field E in point P the same as the direction of p or opposite to it? b) Compute the absolute values of those components of E, and E_ that do not cancel each other and use them to find the magnitude of the total electric field in point P, |E|. You can use the angle shown in the diagram, but make sure to express the final answer in terms of r, s, and q. c) Find the limit of El for r»s. What is the magnitude of the dipole moment p? Taking into account the directions of vectors E and p, can you reproduce Equation 23.11 of the textbook?
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