A neutral Conductor with a Cauity has a C harge below. The electric flux through Sur face enclosing the Conductor (as shoon n figuve) is * placed in its Cavity as shoun the gauenian found to be EE=&E-dA =1 (1) N a) Find the electric charge of 7. b) Find the amount of of the conductor. (c) Find the amount of charge on the outr Surfac of the Conduitor Charge on the inner Surface
A neutral Conductor with a Cauity has a C harge below. The electric flux through Sur face enclosing the Conductor (as shoon n figuve) is * placed in its Cavity as shoun the gauenian found to be EE=&E-dA =1 (1) N a) Find the electric charge of 7. b) Find the amount of of the conductor. (c) Find the amount of charge on the outr Surfac of the Conduitor Charge on the inner Surface
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![### Problem Statement
A neutral conductor with a cavity has a charge \( q \) placed in its cavity as shown below. The electric flux through the Gaussian surface enclosing the conductor (as shown in figure) is found to be
\[ \Phi_E = \oint \vec{E} \cdot d\vec{A} = -1 \times 10^{12} \text{ N} \cdot \text{m}^2/\text{C}. \]
#### Questions:
(a) Find the electric charge of \( q \).
(b) Find the amount of charge on the inner surface of the conductor.
(c) Find the amount of charge on the outer surface of the conductor.
### Diagram Description
The diagram illustrates a conductor with an irregular outer boundary, containing a small cavity inside it. Inside the cavity, a charge \( q \) is positioned. Surrounding the entire conductor is a dashed line representing a Gaussian surface. The key components in the figure are:
- A conductor shown with an irregular outer boundary.
- A smaller cavity within the conductor delineated by another irregular boundary.
- A charge \( q \) located inside the smaller cavity.
- A dashed Gaussian surface surrounding the entire conductor indicating the area over which the electric flux is being considered.
In the context of the given problem, the Gaussian surface is crucial for calculating the total electric flux, which is used to derive the enclosed charge via Gauss's Law.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F79b292ff-e294-4445-84a4-2da9891a32be%2Fb4466c36-713b-4d64-b3ef-5abc91d36b1a%2Fy96d44_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Problem Statement
A neutral conductor with a cavity has a charge \( q \) placed in its cavity as shown below. The electric flux through the Gaussian surface enclosing the conductor (as shown in figure) is found to be
\[ \Phi_E = \oint \vec{E} \cdot d\vec{A} = -1 \times 10^{12} \text{ N} \cdot \text{m}^2/\text{C}. \]
#### Questions:
(a) Find the electric charge of \( q \).
(b) Find the amount of charge on the inner surface of the conductor.
(c) Find the amount of charge on the outer surface of the conductor.
### Diagram Description
The diagram illustrates a conductor with an irregular outer boundary, containing a small cavity inside it. Inside the cavity, a charge \( q \) is positioned. Surrounding the entire conductor is a dashed line representing a Gaussian surface. The key components in the figure are:
- A conductor shown with an irregular outer boundary.
- A smaller cavity within the conductor delineated by another irregular boundary.
- A charge \( q \) located inside the smaller cavity.
- A dashed Gaussian surface surrounding the entire conductor indicating the area over which the electric flux is being considered.
In the context of the given problem, the Gaussian surface is crucial for calculating the total electric flux, which is used to derive the enclosed charge via Gauss's Law.
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