X1. A straight, cylindrical wire lying along the x-axis has a length of 0.5 m and a diameter of 0.2 mm. It is made of a material described by Ohm's law with a resistivity of p = 4.0x108 2. m. Assume that a potential of 4.0 V is maintained at the left end of the wire at x = 0. Also assume that V = 0 at x = 0.5 m. Find (a) the magnitude and direction of the electric field in the wire, (b) the resistance of the wire, (c) the magnitude and direction of the electric current in the wire, and (d) the current density in the wire. (e) Show that E = pJ.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter21: Current And Direct Current Circuits
Section: Chapter Questions
Problem 63P
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X1. A straight, cylindrical wire lying along the x-axis has a length of 0.5 m and a diameter of 0.2 mm. It
is made of a material described by Ohm's law with a resistivity of p = 4.0x108 2. m. Assume that a
potential of 4.0 V is maintained at the left end of the wire at x = 0. Also assume that V = 0 at x = 0.5 m.
Find (a) the magnitude and direction of the electric field in the wire, (b) the resistance of the wire, (c) the
magnitude and direction of the electric current in the wire, and (d) the current density in the wire. (e)
Show that E = pJ.
Transcribed Image Text:X1. A straight, cylindrical wire lying along the x-axis has a length of 0.5 m and a diameter of 0.2 mm. It is made of a material described by Ohm's law with a resistivity of p = 4.0x108 2. m. Assume that a potential of 4.0 V is maintained at the left end of the wire at x = 0. Also assume that V = 0 at x = 0.5 m. Find (a) the magnitude and direction of the electric field in the wire, (b) the resistance of the wire, (c) the magnitude and direction of the electric current in the wire, and (d) the current density in the wire. (e) Show that E = pJ.
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