Physics for Scientists and Engineers
10th Edition
ISBN: 9781337553278
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Question
Chapter 26, Problem 14P
(a)
To determine
The length of a uniform wire.
(b)
To determine
The diameter of the uniform wire.
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Suppose you wish to fabricate a uniform wire from a mass m of a metal with density ρm and resistivity ρ. If the wire is to have a resistance of R and all the metal is to be used, what must be (a) the length and (b) the diameter of this wire?
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Chapter 26 Solutions
Physics for Scientists and Engineers
Ch. 26.1 - Consider positive and negative charges of equal...Ch. 26.2 - Prob. 26.2QQCh. 26.2 - Prob. 26.3QQCh. 26.4 - When does an incandescent lightbulb carry more...Ch. 26 - Prob. 1PCh. 26 - A small sphere that carries a charge q is whirled...Ch. 26 - In the Bohr model of the hydrogen atom (which will...Ch. 26 - Prob. 4PCh. 26 - Prob. 5PCh. 26 - Figure P26.6 represents a section of a conductor...
Ch. 26 - The quantity of charge q (in coulombs) that has...Ch. 26 - A Van de Graaff generator (see Problem 24)...Ch. 26 - An electric current in a conductor varies with...Ch. 26 - Prob. 10PCh. 26 - An electric heater carries a current of 13.5 A...Ch. 26 - You are working at a company that manufactures...Ch. 26 - Prob. 13PCh. 26 - Prob. 14PCh. 26 - Prob. 15PCh. 26 - Prob. 16PCh. 26 - Prob. 17PCh. 26 - Prob. 18PCh. 26 - An aluminum wire with a diameter of 0.100 mm has a...Ch. 26 - Plethysmographs are devices used for measuring...Ch. 26 - At what temperature will aluminum have a...Ch. 26 - You are working in a laboratory that studies the...Ch. 26 - Assume that global lightning on the Earth...Ch. 26 - The Van de Graaff generator, diagrammed in Figure...Ch. 26 - A 100-W lightbulb connected to a 120-V source...Ch. 26 - The potential difference across a resting neuron...Ch. 26 - The cost of energy delivered to residences by...Ch. 26 - Residential building codes typically require the...Ch. 26 - Assuming the cost of energy from the electric...Ch. 26 - An 11.0-W energy-efficient fluorescent lightbulb...Ch. 26 - A 500-W heating coil designed to operate from 110...Ch. 26 - Why is the following situation impossible? A...Ch. 26 - Make an order-of-magnitude estimate of the cost of...Ch. 26 - Lightbulb A is marked 25 W 120 V, and lightbulb B...Ch. 26 - One wire in a high-voltage transmission line...Ch. 26 - You are working with an oceanographer who is...Ch. 26 - A charge Q is placed on a capacitor of capacitance...Ch. 26 - An experiment is conducted to measure the...Ch. 26 - Prob. 39APCh. 26 - Prob. 40APCh. 26 - Review. An office worker uses an immersion heater...Ch. 26 - The strain in a wire can be monitored and computed...Ch. 26 - A close analogy exists between the flow of energy...Ch. 26 - The dielectric material between the plates of a...Ch. 26 - Review. A parallel-plate capacitor consists of...Ch. 26 - Prob. 46APCh. 26 - Why is the following situation impossible? An...Ch. 26 - Prob. 48CPCh. 26 - A spherical shell with inner radius ra and outer...Ch. 26 - Material with uniform resistivity is formed into...
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- A cylindrical conductor has resistance of R0 = 950 Ω. It has length L, radius of the cross section r, and resistivity ρ. a) If the resistivity was restored to its original value and instead the length of the conductor decreased by a factor of 2, what would the value of the new resistance be, in ohms? b) If the resistivity and length of the conductor were at their original values and the radius of the conductor increased by a factor of 4, what would be the value of the new resistance, in ohms?arrow_forwardA 5.0 cm length of a cylindrical copper wire has a radius of 0.01 mm. The resistivity of copper is 1.68 × 10−8[Ωm]. (a) What is the length of the wire in m? (b) What is the cross-sectional area of the wire in m2? (c) What is the resistance of the wire? (d) If a voltage of 2.8 × 10−9 V is set up across the ends of the wire, what is the current flowing through the wire? (e) How much charge will drift through a cross-section of this wire in 0.001s? (f) What is the rate of energy dissipation when that current is flowing through the wire?arrow_forwardSuppose you wish to fabricate a uniform wire from 2.50 g of copper. The wire is to have a resistance of R = 0.360 2 and all the copper is to be used. %3D (a) What must be the length of this wire? (b) What must be the diameter of this wire? pmarrow_forward
- Suppose you wish to fabricate a uniform wire from 1.00 g of copper. If the wire is to have a resistance of R = 0.500 Ω and all the copper is to be used, what must be (a) the length and (b) the diameter of this wire?arrow_forwardSuppose you wish to fabricate a uniform wire from 1.30 g of copper. The wire is to have a resistance of R = 0.460 N and all the copper is to be used. (a) What must be the length of this wire? (b) What must be the diameter of this wire? umarrow_forwardWhen all the ion channels in a cell membrane are closed, the resistivity is very high. However if some channels open, the resistivity decreases to 1.3×107 2m. Find the resistance of a 1µm x 1um square of cell wall with a thickness of 9.0 nm, in this situation.arrow_forward
- An aluminum rod with a square cross section is 2.2 m long and 6.2 mm on edge. (a) What is the resistance between its ends? (b) What must be the diameter of a cylindrical copper rod of length 2.2 m if its resistance is to be the same as that of the aluminum rod? The resistivity of aluminum is 2.75 x 108 Q-m and the resistivity of copper is 1.69 × 10-8 Q-m. (a) Number Units (b) Number i Unitsarrow_forwardTwo conductors are made of the same material and have the same length. Con- ductor A is a solid wire of diameter 1.0 mm. Conductor B is a hollow tube of outside diameter 2.0 mm and inside diameter 1.0 mm. What is the resistance ratio RA/RB, mea- sured between their ends?arrow_forwardSuppose you wish to fabricate a uniform wire out of 1.20 g of copper. If the wire is to have a resistance R = 0.690 Ω, and if all the copper is to be used, find the following. (a) What will be the length of the wire?m(b) What will be the diameter of the wire?mmarrow_forward
- Suppose you wish to fabricate a uniform wire from 1.60 g of copper. The wire is to have a resistance of R = 0.400 n and all the copper is to be used. (a) What must be the length of this wire? m (b) What must be the diameter of this wire?arrow_forwardSuppose you wish to fabricate a uniform wire from 1.10 g of copper. The wire is to have a resistance of R = 0.540 Ω and all the copper is to be used. (a) What must be the length of this wire? m(b) What must be the diameter of this wire? µmarrow_forwardPart (a) I measure the resistance of this wire and find it to be R = 156 Q. What is the resistivity of the material the wire is made out of? p= Problem 7: A particular wire has a length of L = 2.7 m and a circular cross-sectional area of radius r= 1.69 mm. G= sin() cos cotan() asin()) acotan() atan() cosh() tanh() I= sin()) cos() cotan() asin() sinh() atan() acotan cosh() tanh() cotanh() Degrees O Radians B Degrees O Radians Part (b) What is the conductivity of this wire, in inverse Ohms per meter? 0 tan()) π ( acos() E ^^^L sinh() cotanh() g L P Y d h m r tan() π acos() E ^^^^ π E 1 Part (c) Give an expression for the current density in the wire if an electric field E is passing through it. Write this in terms of the resistivity and the other variables in the problem. J= n R ( ^^^ sin() cos() cotan() asin() atan() acotan() cosh() + + 7 8 9 4 5 6 1 2 3 0 END NO BACKSPACE DEL CLEAR Part (d) Calculate the current in the wire, in milliamperes, if the field strength is 5.28 V/m. - END NO…arrow_forward
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