Physics for Scientists and Engineers, Technology Update, Hybrid Edition (with Enhanced WebAssign Multi-Term LOE Printed Access Card for Physics)
9th Edition
ISBN: 9781305116429
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Question
Chapter 27, Problem 27.68AP
(a)
To determine
The magnitude and direction of the electric field in the wire.
(b)
To determine
The resistance of the wire.
(c)
To determine
The magnitude and direction of the electric current in the wire.
(d)
To determine
The current density in the wire.
(e)
To determine
To show: The expression for electric field in the wire is given by
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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).
See image for the full question.
A straight, cylindrical wire lying along the x axis has a length of 0.500 m and a diameter of 0.200 mm. It is made of a material described by Ohm’s law with a resistivity of ρ = 4.00 x 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 = 0.500 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 = ρJ.
A straight, cylindrical wire lying along the x axis has a length of 0.5 m and a diameter of0.2 mm. It is made of a material described by Ohm’s law with a resistivity of ρ 4 × 10-8Ωm. Assume a potential of 4 V is maintained at the left end of the wire at x = 0. Alsoassume V = 0 at x = 0.5 m. Find (a) the magnitude and direction of the electric field in thewire, (b) the resistance of the wire, (c) the magnitude and direction of the electric currentin the wire, and (d) the current density in the wire. (e) Show that E = ρ J. (E = −dVdx)
Chapter 27 Solutions
Physics for Scientists and Engineers, Technology Update, Hybrid Edition (with Enhanced WebAssign Multi-Term LOE Printed Access Card for Physics)
Ch. 27 - Consider positive and negative charges of equal...Ch. 27 - Prob. 27.2QQCh. 27 - Prob. 27.3QQCh. 27 - When does an incandescent lightbulb carry more...Ch. 27 - For the two lightbulbs shown in Figure 27.13, rank...Ch. 27 - Car batteries are often rated in ampere-hours....Ch. 27 - Prob. 27.2OQCh. 27 - A cylindrical metal wire at room temperature is...Ch. 27 - Prob. 27.4OQCh. 27 - A potential difference of 1.00 V is maintained...
Ch. 27 - Three wires are made of copper having circular...Ch. 27 - A metal wire of resistance R is cut into three...Ch. 27 - A metal wire has a resistance of 10.0 at a...Ch. 27 - The current-versus-voltage behavior of a certain...Ch. 27 - Two conductors made of die same material are...Ch. 27 - Two conducting wires A and B of the same length...Ch. 27 - Two lightbulbs both operate on 120 V. One has a...Ch. 27 - Wire B has twice the length and twice the radius...Ch. 27 - If you were 10 design an electric healer using...Ch. 27 - Prob. 27.2CQCh. 27 - When the potential difference across a certain...Ch. 27 - Over the lime interval after a difference in...Ch. 27 - How does the resistance for copper and for silicon...Ch. 27 - Use the atomic theory of matter to explain why the...Ch. 27 - If charges flow very slowly through a metal, why...Ch. 27 - Newspaper articles often contain statements such...Ch. 27 - Prob. 27.1PCh. 27 - A small sphere that carries a charge q is whirled...Ch. 27 - Prob. 27.3PCh. 27 - In the Bohr model of the hydrogen atom (which will...Ch. 27 - A proton beam in an accelerator carries a current...Ch. 27 - Prob. 27.6PCh. 27 - Prob. 27.7PCh. 27 - Figure P26.6 represents a section of a conductor...Ch. 27 - The quantity of charge q (in coulombs) that has...Ch. 27 - A Van de Graaff generator (see Problem 24)...Ch. 27 - The electron beam emerging from a certain...Ch. 27 - An electric current in a conductor varies with...Ch. 27 - A teapot with a surface area of 700 cm2 is to be...Ch. 27 - A lightbulb has a resistance of 240 when...Ch. 27 - Prob. 27.15PCh. 27 - A 0.900-V potential difference is maintained...Ch. 27 - An electric heater carries a current of 13.5 A...Ch. 27 - Prob. 27.18PCh. 27 - Prob. 27.19PCh. 27 - Prob. 27.20PCh. 27 - A portion of Nichrome wire of radius 2.50 mm is to...Ch. 27 - If the current carried by a conductor is doubled,...Ch. 27 - Prob. 27.23PCh. 27 - Prob. 27.24PCh. 27 - If the magnitude of the drill velocity of free...Ch. 27 - Prob. 27.26PCh. 27 - Prob. 27.27PCh. 27 - While taking photographs in Death Valley on a day...Ch. 27 - Prob. 27.29PCh. 27 - Plethysmographs are devices used for measuring...Ch. 27 - Prob. 27.31PCh. 27 - An engineer needs a resistor with a zero overall...Ch. 27 - An aluminum wire with a diameter of 0.100 mm has a...Ch. 27 - Review. Ail aluminum rod has a resistance of 1.23 ...Ch. 27 - At what temperature will aluminum have a...Ch. 27 - Assume that global lightning on the Earth...Ch. 27 - In a hydroelectric installation, a turbine...Ch. 27 - A Van de Graaff generator (see Fig. 25.23) is...Ch. 27 - A certain waffle iron is rated at 1.00 kW when...Ch. 27 - The potential difference across a resting neuron...Ch. 27 - Suppose your portable DVD player draws a current...Ch. 27 - Review. A well-insulated electric water healer...Ch. 27 - A 100-W lightbulb connected to a 120-V source...Ch. 27 - The cost of energy delivered to residences by...Ch. 27 - Prob. 27.45PCh. 27 - Residential building codes typically require the...Ch. 27 - Assuming the cost of energy from the electric...Ch. 27 - An 11.0-W energy-efficient fluorescent lightbulb...Ch. 27 - A coil of Nichrome wire is 25.0 m long. The wire...Ch. 27 - Review. A rechargeable battery of mass 15.0 g...Ch. 27 - A 500-W heating coil designed to operate from 110...Ch. 27 - Why is the following situation impossible? A...Ch. 27 - A certain toaster has a heating element made of...Ch. 27 - Make an order-of-magnitude estimate of the cost of...Ch. 27 - Review. The healing element of an electric coffee...Ch. 27 - A 120-V motor has mechanical power output of 2.50...Ch. 27 - Prob. 27.57APCh. 27 - Prob. 27.58APCh. 27 - Prob. 27.59APCh. 27 - Lightbulb A is marked 25 W 120 V, and lightbulb B...Ch. 27 - One wire in a high-voltage transmission line...Ch. 27 - An experiment is conducted to measure the...Ch. 27 - A charge Q is placed on a capacitor of capacitance...Ch. 27 - Review. An office worker uses an immersion heater...Ch. 27 - Prob. 27.65APCh. 27 - An all-electric car (not a hybrid) is designed to...Ch. 27 - Prob. 27.67APCh. 27 - Prob. 27.68APCh. 27 - An electric utility company supplies a customers...Ch. 27 - The strain in a wire can be monitored and computed...Ch. 27 - An oceanographer is studying how the ion...Ch. 27 - Why is the following situation impossible? An...Ch. 27 - Prob. 27.73APCh. 27 - A close analogy exists between the flow of energy...Ch. 27 - Review. When a straight wire is warmed, its...Ch. 27 - Prob. 27.76APCh. 27 - Review. A parallel-plate capacitor consists of...Ch. 27 - The dielectric material between the plates of a...Ch. 27 - Prob. 27.79APCh. 27 - Prob. 27.80APCh. 27 - The potential difference across the filament of a...Ch. 27 - Prob. 27.82CPCh. 27 - A spherical shell with inner radius ra and outer...Ch. 27 - Material with uniform resistivity is formed into...Ch. 27 - A material of resistivity is formed into the...
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