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 Qdip 6μC, separated by a distances = 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] = 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 E1 and E2 created by the two charges. 6- 92 5+ 4+ 3+ 2+ 1 -5 -3 -2 -1 1 2 3 4 5 6 7 89 91 2. [12pts] Calculate the total electric field Ē₁+2 in the origin due to the charges 91 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.]

College Physics
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Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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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 Qdip 6μC, separated by a distances = 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]
=
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
E1 and E2 created by the two charges.
6-
92
5+
4+
3+
2+
1
-5
-3 -2 -1
1
2
3
4
5
6
7 89
91
2. [12pts] Calculate the total electric field Ē₁+2 in the origin due to the charges 91 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.]
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 Qdip 6μC, separated by a distances = 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] = 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 E1 and E2 created by the two charges. 6- 92 5+ 4+ 3+ 2+ 1 -5 -3 -2 -1 1 2 3 4 5 6 7 89 91 2. [12pts] Calculate the total electric field Ē₁+2 in the origin due to the charges 91 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.]
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