The figure below represents a section of a circular conductor of nonuniform diameter carrying a current of I = 4.00 A. The radius of cross-section A1 is r1 = 0.480 cm. An illustration shows a horizontal cylindrical conductor of nonuniform diameter such that the radius of the left face of the cylinder, r1, is less than the radius of the right face of the cylinder, r2. Similarly the area A1 of the left face of the cylinder is less than the area of the right face of the cylinder, A2. The current is shown to flow rightward and horizontal, as represented by the arrow I. (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 = 5A1. (d) Specify the radius at A2.   (e) Specify the current at A2.   (f) Specify the current density at A2

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Chapter12: Sources Of Magnetic Fields
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Problem 85AP: , A ray long, thick, cylindrical wire of radius R carries a current density J that varies across its...
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The figure below represents a section of a circular conductor of nonuniform diameter carrying a current of I = 4.00 A. The radius of cross-section A1 is r1 = 0.480 cm.

An illustration shows a horizontal cylindrical conductor of nonuniform diameter such that the radius of the left face of the cylinder, r1, is less than the radius of the right face of the cylinder, r2. Similarly the area A1 of the left face of the cylinder is less than the area of the right face of the cylinder, A2. The current is shown to flow rightward and horizontal, as represented by the arrow I.
(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 = 5A1.

(d) Specify the radius at A2.
 


(e) Specify the current at A2.
 


(f) Specify the current density at A2
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