### Problem StatementA small, rigid object carries positive and negative 2.00 nC charges. It is oriented so that the positive charge has coordinates (−1.20 mm, 1.60 mm) and the negative charge is at the point (1.50 mm, −1.30 mm).1. **Part (a)**: - **Question**: Find the electric dipole moment of the object. - **Answer**: \(\boxed{\phantom{space}} \ \mathrm{C \cdot m \ \hat{\imath}} + \boxed{\phantom{space}} \ \mathrm{C \cdot m \ \hat{\jmath}}\)2. **Part (b)**: - **Question**: The object is placed in an electric field \(\mathbf{E} = (7.80 \times 10^3 \ \hat{\imath} - 4.90 \times 10^3 \ \hat{\jmath}) \ \mathrm{N/C}\). Find the torque acting on the object. - **Answer**: \(\boxed{\phantom{space}} \ \text{N} \cdot \text{m} \ \boxed{\text{---Select---}}\)3. **Part (c)**: - **Question**: Find the potential energy of the object-field system when the object is in this orientation. - **Answer**: \(\boxed{\phantom{space}} \ \mathrm{J}\)4. **Part (d)**: - **Question**: Assuming the orientation of the object can change, find the difference between the maximum and the minimum potential energies of the system. - **Answer**: \(\boxed{\phantom{space}} \ \mathrm{J}\)### Explanation of Graphs/DiagramsIn this problem, no specific graphs or diagrams are provided. However, it involves calculating various properties of an electric dipole in an electric field. The main components are:- The coordinates of the charges, which describe the position of the positive and negative charges in a millimeter scale.- The electric field vector, which has been given in unit vectors \(\hat{\imath}\) and \(\hat{\jmath}\).The calculations will likely involve using these coordinates and the electric field to determine the dipole moment, torque, and potential energy based on

Answered: Image /qna-images/answer/e36bf664-c8d7-45c4-b4cc-7df27def2ed2.jpg

A small, rigid object carries positive and negative 2.00 nC charges. It is oriented so that the positive charge has coordinates (-1.20 mm, 1.60 mm) and the negative charge is at the point (1.50 mm, -1.30 mm). (a) Find the electric dipole moment of the object. C.mî + C.mj (b) The object is placed in an electric field E = (7.80 x 10° î – 4.90 × 10³ j) N/C.Find the torque acting on the object. N.m ---Select--- v (c) Find the potential energy of the object-field system when the object is in this orientation.

A small, rigid object carries positive and negative 2.00 nC charges. It is oriented so that the positive charge has coordinates (-1.20 mm, 1.60 mm) and the negative charge is at the point (1.50 mm, -1.30 mm). (a) Find the electric dipole moment of the object. C.mî + C.mj (b) The object is placed in an electric field E = (7.80 x 10° î – 4.90 × 10³ j) N/C.Find the torque acting on the object. N.m ---Select--- v (c) Find the potential energy of the object-field system when the object is in this orientation.

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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Concept explainers

Electric Charges and Fields

One of the fundamental properties is the electromagnetic property. Charge cannot be destroyed by any process and this contributes formally to the law of charge conservation.

Question

### Problem Statement

A small, rigid object carries positive and negative 2.00 nC charges. It is oriented so that the positive charge has coordinates (−1.20 mm, 1.60 mm) and the negative charge is at the point (1.50 mm, −1.30 mm).

1. **Part (a)**:
- **Question**: Find the electric dipole moment of the object.
- **Answer**: \(\boxed{\phantom{space}} \ \mathrm{C \cdot m \ \hat{\imath}} + \boxed{\phantom{space}} \ \mathrm{C \cdot m \ \hat{\jmath}}\)

2. **Part (b)**:
- **Question**: The object is placed in an electric field \(\mathbf{E} = (7.80 \times 10^3 \ \hat{\imath} - 4.90 \times 10^3 \ \hat{\jmath}) \ \mathrm{N/C}\). Find the torque acting on the object.
- **Answer**: \(\boxed{\phantom{space}} \ \text{N} \cdot \text{m} \ \boxed{\text{---Select---}}\)

3. **Part (c)**:
- **Question**: Find the potential energy of the object-field system when the object is in this orientation.
- **Answer**: \(\boxed{\phantom{space}} \ \mathrm{J}\)

4. **Part (d)**:
- **Question**: Assuming the orientation of the object can change, find the difference between the maximum and the minimum potential energies of the system.
- **Answer**: \(\boxed{\phantom{space}} \ \mathrm{J}\)

### Explanation of Graphs/Diagrams
In this problem, no specific graphs or diagrams are provided. However, it involves calculating various properties of an electric dipole in an electric field. The main components are:
- The coordinates of the charges, which describe the position of the positive and negative charges in a millimeter scale.
- The electric field vector, which has been given in unit vectors \(\hat{\imath}\) and \(\hat{\jmath}\).

The calculations will likely involve using these coordinates and the electric field to determine the dipole moment, torque, and potential energy based on

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