A straight, cylindrical wire lying along the x axis has a length of 0.515 m and a diameter of 0.195 mm. It is made of a material described by Ohm's law with a resistivity of ? = 4.00 ✕ 10−8 Ω · m. Assume a potential of 4.00 V is maintained at the left end of the wire at x = 0. Also assume  V = 0 at x = 0.515 m. (a) Find the magnitude (in V/m) and direction of the electric field in the wire. (b) Find the resistance of the wire (in Ω). (c) Find the magnitude (in A) and direction of the electric current in the wire. (d) Find the current density in the wire (in MA/m2).

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
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Chapter21: Current And Direct Current Circuits
Section: Chapter Questions
Problem 63P
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A straight, cylindrical wire lying along the x axis has a length of 0.515 m and a diameter of 0.195 mm. It is made of a material described by Ohm's law with a resistivity of ? = 4.00 ✕ 10−8 Ω · m. Assume a potential of 4.00 V is maintained at the left end of the wire at x = 0. Also assume  V = 0 at x = 0.515 m.

(a) Find the magnitude (in V/m) and direction of the electric field in the wire.
(b) Find the resistance of the wire (in Ω).
(c) Find the magnitude (in A) and direction of the electric current in the wire.
(d) Find the current density in the wire (in MA/m2).
 
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A straight, cylindrical wire lying along the x axis has a length of 0.515 m and a diameter of 0.195 mm. It is made of a material described by Ohm's law with a resistivity of
p = 4.00 x 10-8 n. m. Assume a potential of 4.00 V is maintained at the left end of the wire at x = 0. Also assume V = 0 at x = 0.515 m.
(a) Find the magnitude (in V/m) and direction of the electric field in the wire.
magnitude
V/m
direction ---Select--- v
(b) Find the resistance of the wire (in 2).
Ω
(c) Find the magnitude (in A) and direction of the electric current in the wire.
magnitude
A
direction ---Select---
(d) Find the current density in the wire (in MA/m2).
MA/m2
Transcribed Image Text:A straight, cylindrical wire lying along the x axis has a length of 0.515 m and a diameter of 0.195 mm. It is made of a material described by Ohm's law with a resistivity of p = 4.00 x 10-8 n. m. Assume a potential of 4.00 V is maintained at the left end of the wire at x = 0. Also assume V = 0 at x = 0.515 m. (a) Find the magnitude (in V/m) and direction of the electric field in the wire. magnitude V/m direction ---Select--- v (b) Find the resistance of the wire (in 2). Ω (c) Find the magnitude (in A) and direction of the electric current in the wire. magnitude A direction ---Select--- (d) Find the current density in the wire (in MA/m2). MA/m2
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