The figure below represents a section of a circular conductor of nonuniform diameter carrying a current of I = 5.60 A. The radius of cross-section A1 is r1 = 0.330 cm

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Chapter1: Units, Trigonometry. And Vectors
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The figure below represents a section of a circular conductor of nonuniform diameter carrying a current of I = 5.60 A. The radius of cross-section A1 is r1 = 0.330 cm.
 
 
(a) What is the magnitude of the current density across A1?
 A/m2

The radius r2 at A2 is larger than the radius r1 at A1.

(b) Is the current at A2 larger, smaller, or the same?
The current is larger.The current is smaller.    The current is the same.

(c) Is the current density at A2 larger, smaller, or the same?
The current density is larger.The current density is smaller.    The current density is the same.

Assume A2 = 2A1.

(d) Specify the radius at A2.
 mm

(e) Specify the current at A2.
 A

(f) Specify the current density at A2.
 A/m2
### Conical Conductor with Electric Current Flow

This image depicts a conical conductor through which an electric current \( I \) flows. The conductor tapers from a larger radius \( r_1 \) to a smaller radius \( r_2 \).

#### Key Elements:

- **Radii:**
  - \( r_1 \) is the radius of the larger end of the cone.
  - \( r_2 \) is the radius of the smaller end.

- **Areas:**
  - \( A_1 \) is the cross-sectional area of the larger end (\( A_1 = \pi r_1^2 \)).
  - \( A_2 \) is the cross-sectional area of the smaller end (\( A_2 = \pi r_2^2 \)).

- **Current Flow:**
  - The arrow below the cone indicates the direction of current flow, \( I \), through the conductor.

This illustration represents the concept of current flow through materials with varying cross-sectional areas, emphasizing the difference in cross-sectional areas from one end of the conductor to the other. Understanding such diagrams is essential in fields like electrical engineering and physics, where the behavior of current through conductive materials is analyzed.
Transcribed Image Text:### Conical Conductor with Electric Current Flow This image depicts a conical conductor through which an electric current \( I \) flows. The conductor tapers from a larger radius \( r_1 \) to a smaller radius \( r_2 \). #### Key Elements: - **Radii:** - \( r_1 \) is the radius of the larger end of the cone. - \( r_2 \) is the radius of the smaller end. - **Areas:** - \( A_1 \) is the cross-sectional area of the larger end (\( A_1 = \pi r_1^2 \)). - \( A_2 \) is the cross-sectional area of the smaller end (\( A_2 = \pi r_2^2 \)). - **Current Flow:** - The arrow below the cone indicates the direction of current flow, \( I \), through the conductor. This illustration represents the concept of current flow through materials with varying cross-sectional areas, emphasizing the difference in cross-sectional areas from one end of the conductor to the other. Understanding such diagrams is essential in fields like electrical engineering and physics, where the behavior of current through conductive materials is analyzed.
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