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Answer a and b please
![### Electrostatics Problem Set
#### Problem 1
**Given:**
- Two charges are placed on the x-axis, \(+2\text{nC}\) at \(x = 0\) and \(-2\text{nC}\) at \(x = 0.3\text{m}\).
- Point C is located at \((0.1\text{m}, 0.1\text{m})\) in the \(xy\)-plane.
**Questions:**
(a) Calculate the electric field at point C.
(b) A charge \(Q = -1\mu\text{C}\) is then positioned at point C. Determine the force on the charge \(Q\).
**Diagram Explanation:**
- A coordinate system is provided with the x- and y-axes labeled.
- A +2nC charge is shown at the origin (0, 0).
- A -2nC charge is shown at \(x = 0.3\text{m}\).
- Point C is indicated at coordinates (0.1m, 0.1m).
#### Problem 2
**Given:**
- A neutral conductor with a cavity has a charge \(q\) placed in its cavity as shown below.
**Task:**
- The electric flux through the Gaussian surface enclosing the conductor (as shown in figure2) is given by:
\[ \Phi_E = \int_S \mathbf{E} \cdot d\mathbf{A} = -1 \times 10^{-12} \frac{\text{N}\cdot\text{m}^2}{\text{C}} \]
**To Find:**
(a) Determine the electric charge \(q\) of ... (incomplete sentence; likely continues to specify conditions or additional parameters).
**Diagram Explanation:**
- No detailed diagram is provided in the text for this problem, but it is implied that there's a Gaussian surface enclosing a conductor with a cavity and a charge within it.
---
These problems are designed to encourage the application of electrostatic principles, such as Coulomb's law, electric field calculations, and the use of Gauss's law. Detailed solutions should involve vector addition for electric fields, integration for flux calculations, and understanding of superposition principles.](https://content.bartleby.com/qna-images/question/79b292ff-e294-4445-84a4-2da9891a32be/65dd5f65-c2a8-486c-b260-5128d7a19b61/wf0vfp_processed.jpeg)
Transcribed Image Text:### Electrostatics Problem Set
#### Problem 1
**Given:**
- Two charges are placed on the x-axis, \(+2\text{nC}\) at \(x = 0\) and \(-2\text{nC}\) at \(x = 0.3\text{m}\).
- Point C is located at \((0.1\text{m}, 0.1\text{m})\) in the \(xy\)-plane.
**Questions:**
(a) Calculate the electric field at point C.
(b) A charge \(Q = -1\mu\text{C}\) is then positioned at point C. Determine the force on the charge \(Q\).
**Diagram Explanation:**
- A coordinate system is provided with the x- and y-axes labeled.
- A +2nC charge is shown at the origin (0, 0).
- A -2nC charge is shown at \(x = 0.3\text{m}\).
- Point C is indicated at coordinates (0.1m, 0.1m).
#### Problem 2
**Given:**
- A neutral conductor with a cavity has a charge \(q\) placed in its cavity as shown below.
**Task:**
- The electric flux through the Gaussian surface enclosing the conductor (as shown in figure2) is given by:
\[ \Phi_E = \int_S \mathbf{E} \cdot d\mathbf{A} = -1 \times 10^{-12} \frac{\text{N}\cdot\text{m}^2}{\text{C}} \]
**To Find:**
(a) Determine the electric charge \(q\) of ... (incomplete sentence; likely continues to specify conditions or additional parameters).
**Diagram Explanation:**
- No detailed diagram is provided in the text for this problem, but it is implied that there's a Gaussian surface enclosing a conductor with a cavity and a charge within it.
---
These problems are designed to encourage the application of electrostatic principles, such as Coulomb's law, electric field calculations, and the use of Gauss's law. Detailed solutions should involve vector addition for electric fields, integration for flux calculations, and understanding of superposition principles.
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