A cylindrical, non-ohmic, uniform conductor is placed in a uniform electric field that points from bottom to top along the axis of the conductor, which is aligned with the z-axis. Which of the following statements is correct (select all that apply)? The current density is proportional to r (the radial distance from the axis) O The current density is proportional to the cube of the conductor's radius O The current density is proportional to the conductivity O The current density is inversely proportional to the cross-sectional area of the conductor

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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**Question:**

A cylindrical, **non-ohmic**, uniform conductor is placed in a uniform electric field that points from bottom to top along the axis of the conductor, which is aligned with the z-axis. Which of the following statements is correct (select all that apply)?

- [ ] The current density is proportional to r (the radial distance from the axis)
- [ ] The current density is proportional to the cube of the conductor's radius
- [ ] The current density is proportional to the conductivity
- [ ] The current density is inversely proportional to the cross-sectional area of the conductor

**Explanation:**

This question involves analyzing the behavior of current density in a non-ohmic, uniform cylindrical conductor placed in a uniform electric field. Each statement in the list provides a different relationship between current density and various factors like radial distance, radius, conductivity, and cross-sectional area. It requires knowledge about the behavior of electric fields and current density in such conductors to determine which statements are valid.
Transcribed Image Text:**Question:** A cylindrical, **non-ohmic**, uniform conductor is placed in a uniform electric field that points from bottom to top along the axis of the conductor, which is aligned with the z-axis. Which of the following statements is correct (select all that apply)? - [ ] The current density is proportional to r (the radial distance from the axis) - [ ] The current density is proportional to the cube of the conductor's radius - [ ] The current density is proportional to the conductivity - [ ] The current density is inversely proportional to the cross-sectional area of the conductor **Explanation:** This question involves analyzing the behavior of current density in a non-ohmic, uniform cylindrical conductor placed in a uniform electric field. Each statement in the list provides a different relationship between current density and various factors like radial distance, radius, conductivity, and cross-sectional area. It requires knowledge about the behavior of electric fields and current density in such conductors to determine which statements are valid.
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