Two point charges are located in the x-y-plane: 91 = 1 nC at position < 4, -3,0 > m, and 92 = -4 nC at position < 8, 6,0 > m. You are tasked with positioning an electric dipole on the positive z-axis such that the resulting net electric field in the origin is zero. The dipole at your disposal consists of two point charges with opposite sign and magnitude dip = 6μC, separated by a distance s = 1 mm. The following steps will guide you toward finding the unknown location and orientation you need to give your dipole in order to solve your task. 1. [6pts] - y 92 In the diagram of the x-y-plane add two arrows in the origin that roughly indicate for this location the direction and relative magnitude of the electric fields Ē₁ and Ē₂ created by the two charges. 7 6 5+ 4- 3+ 2+ 1 + + -5 -4 -3 -2 -1 1 2 3 4 -1+ -2+ -3+ 5 6 7 8 9 91 2. [12pts] Calculate the total electric field Ĕ1+2 in the origin due to the charges q₁ and 92. Your result should have the unit of Newtons per Coulomb. [Hint: You are allowed to use a calculator, but it is possible and maybe even faster to do this calculation without a calculator (and without the risk of rounding errors) by expressing all numbers as integers or ratios of integers.] 3. [6pts] In the 3D diagram on the right, add arrows indicating the field E1+2 from part 2, the compensating dipole field Edip needed to ensure zero net field in the origin, and the dipole moment p associated with the dipole at < 0,0,d>. (If you were not able to find Ē₁+2 in part 2, then guess a vector in the x-y-plane, label it Ē1+2, guess in the diagram, and proceed as instructed.) y 4. [4pts] Based on your previous results and the information given, write down the dipole moment ♬ of the properly oriented dipole (in units of Cm). p = 5. [12pts] Calculate the distance d along the z-axis where the dipole needs to be.
Two point charges are located in the x-y-plane: 91 = 1 nC at position < 4, -3,0 > m, and 92 = -4 nC at position < 8, 6,0 > m. You are tasked with positioning an electric dipole on the positive z-axis such that the resulting net electric field in the origin is zero. The dipole at your disposal consists of two point charges with opposite sign and magnitude dip = 6μC, separated by a distance s = 1 mm. The following steps will guide you toward finding the unknown location and orientation you need to give your dipole in order to solve your task. 1. [6pts] - y 92 In the diagram of the x-y-plane add two arrows in the origin that roughly indicate for this location the direction and relative magnitude of the electric fields Ē₁ and Ē₂ created by the two charges. 7 6 5+ 4- 3+ 2+ 1 + + -5 -4 -3 -2 -1 1 2 3 4 -1+ -2+ -3+ 5 6 7 8 9 91 2. [12pts] Calculate the total electric field Ĕ1+2 in the origin due to the charges q₁ and 92. Your result should have the unit of Newtons per Coulomb. [Hint: You are allowed to use a calculator, but it is possible and maybe even faster to do this calculation without a calculator (and without the risk of rounding errors) by expressing all numbers as integers or ratios of integers.] 3. [6pts] In the 3D diagram on the right, add arrows indicating the field E1+2 from part 2, the compensating dipole field Edip needed to ensure zero net field in the origin, and the dipole moment p associated with the dipole at < 0,0,d>. (If you were not able to find Ē₁+2 in part 2, then guess a vector in the x-y-plane, label it Ē1+2, guess in the diagram, and proceed as instructed.) y 4. [4pts] Based on your previous results and the information given, write down the dipole moment ♬ of the properly oriented dipole (in units of Cm). p = 5. [12pts] Calculate the distance d along the z-axis where the dipole needs to be.
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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Answer these questions please.
![Two point charges are located in the x-y-plane: 91 = 1 nC at position < 4, -3,0 > m, and 92 = -4 nC at position
< 8, 6,0 > m. You are tasked with positioning an electric dipole on the positive z-axis such that the resulting net
electric field in the origin is zero. The dipole at your disposal consists of two point charges with opposite sign and
magnitude dip = 6μC, separated by a distance s = 1 mm. The following steps will guide you toward finding the
unknown location and orientation you need to give your dipole in order to solve your task.
1. [6pts]
-
y
92
In the diagram of the x-y-plane add two arrows in
the origin that roughly indicate for this location the
direction and relative magnitude of the electric fields
Ē₁ and Ē₂ created by the two charges.
7
6
5+
4-
3+
2+
1
+
+
-5 -4 -3
-2
-1
1
2
3
4
-1+
-2+
-3+
5
6
7 8 9
91
2. [12pts] Calculate the total electric field Ĕ1+2 in the origin due to the charges q₁ and 92. Your result should
have the unit of Newtons per Coulomb. [Hint: You are allowed to use a calculator, but it is possible and
maybe even faster to do this calculation without a calculator (and without the risk of rounding errors) by
expressing all numbers as integers or ratios of integers.]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6d1ae07f-bdb5-47a8-9afa-ea5a04bdf9c8%2F2cbdb262-3512-4803-b585-6b21acdbc07a%2F2w1vl6p_processed.png&w=3840&q=75)
Transcribed Image Text:Two point charges are located in the x-y-plane: 91 = 1 nC at position < 4, -3,0 > m, and 92 = -4 nC at position
< 8, 6,0 > m. You are tasked with positioning an electric dipole on the positive z-axis such that the resulting net
electric field in the origin is zero. The dipole at your disposal consists of two point charges with opposite sign and
magnitude dip = 6μC, separated by a distance s = 1 mm. The following steps will guide you toward finding the
unknown location and orientation you need to give your dipole in order to solve your task.
1. [6pts]
-
y
92
In the diagram of the x-y-plane add two arrows in
the origin that roughly indicate for this location the
direction and relative magnitude of the electric fields
Ē₁ and Ē₂ created by the two charges.
7
6
5+
4-
3+
2+
1
+
+
-5 -4 -3
-2
-1
1
2
3
4
-1+
-2+
-3+
5
6
7 8 9
91
2. [12pts] Calculate the total electric field Ĕ1+2 in the origin due to the charges q₁ and 92. Your result should
have the unit of Newtons per Coulomb. [Hint: You are allowed to use a calculator, but it is possible and
maybe even faster to do this calculation without a calculator (and without the risk of rounding errors) by
expressing all numbers as integers or ratios of integers.]
![3. [6pts]
In the 3D diagram on the right, add arrows indicating
the field E1+2 from part 2, the compensating dipole
field Edip needed to ensure zero net field in the origin,
and the dipole moment p associated with the dipole at
< 0,0,d>. (If you were not able to find Ē₁+2 in part 2,
then guess a vector in the x-y-plane, label it Ē1+2, guess
in the diagram, and proceed as instructed.)
y
4. [4pts] Based on your previous results and the information given, write down the dipole moment ♬ of the
properly oriented dipole (in units of Cm).
p
=
5. [12pts] Calculate the distance d along the z-axis where the dipole needs to be.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6d1ae07f-bdb5-47a8-9afa-ea5a04bdf9c8%2F2cbdb262-3512-4803-b585-6b21acdbc07a%2Fc9252zr_processed.png&w=3840&q=75)
Transcribed Image Text:3. [6pts]
In the 3D diagram on the right, add arrows indicating
the field E1+2 from part 2, the compensating dipole
field Edip needed to ensure zero net field in the origin,
and the dipole moment p associated with the dipole at
< 0,0,d>. (If you were not able to find Ē₁+2 in part 2,
then guess a vector in the x-y-plane, label it Ē1+2, guess
in the diagram, and proceed as instructed.)
y
4. [4pts] Based on your previous results and the information given, write down the dipole moment ♬ of the
properly oriented dipole (in units of Cm).
p
=
5. [12pts] Calculate the distance d along the z-axis where the dipole needs to be.
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