A long, thin straight wire with a linear charge density λwire = +3.17 nC/m runs down the center of a thin, hollow metal cylindrical shell of radius 1.55 cm. The cylindrical shell has a linear charge density λshell = +6.97 nC/m.(Figure 1) What is the electric field strength at a radius of 1.04 cmcm inside the cylindrical shell? What is the electric field strength at a radius of 2.29 cmcm outside the cylindrical shell?

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A long, thin straight wire with a linear charge density λwire = +3.17 nC/m runs down the center of a thin, hollow metal cylindrical shell of radius 1.55 cm. The cylindrical shell has a linear charge density λshell = +6.97 nC/m.(Figure 1)

What is the electric field strength at a radius of 1.04 cmcm inside the cylindrical shell?

What is the electric field strength at a radius of 2.29 cmcm outside the cylindrical shell?

### Diagram Explanation: Metal Cylindrical Shell with Thin Wire

The image depicts a three-dimensional diagram of a metal cylindrical shell. Inside the cylindrical shell, a thin wire runs vertically down the central axis.

#### Key Features:

- **Metal Cylindrical Shell**: 
  - The outer structure is labeled as a "Metal Cylindrical Shell."
  - It is depicted as a hollow cylinder with indications of its outer surface area labeled as \( A_{\text{out}} \).

- **Thin Wire**: 
  - Positioned vertically at the center of the cylinder.
  - It is labeled along its length.

- **Arrows**: 
  - Arrows point up and down at both the top and bottom of the cylinder, indicating directions of possible forces, fields, or currents.

This diagram typically represents a model used in physics and engineering to study electric fields, magnetic fields, or mechanical stress distribution inside a cylindrical geometry, where the thin wire might carry charge or current.
Transcribed Image Text:### Diagram Explanation: Metal Cylindrical Shell with Thin Wire The image depicts a three-dimensional diagram of a metal cylindrical shell. Inside the cylindrical shell, a thin wire runs vertically down the central axis. #### Key Features: - **Metal Cylindrical Shell**: - The outer structure is labeled as a "Metal Cylindrical Shell." - It is depicted as a hollow cylinder with indications of its outer surface area labeled as \( A_{\text{out}} \). - **Thin Wire**: - Positioned vertically at the center of the cylinder. - It is labeled along its length. - **Arrows**: - Arrows point up and down at both the top and bottom of the cylinder, indicating directions of possible forces, fields, or currents. This diagram typically represents a model used in physics and engineering to study electric fields, magnetic fields, or mechanical stress distribution inside a cylindrical geometry, where the thin wire might carry charge or current.
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