Physics for Scientists and Engineers
10th Edition
ISBN: 9781337553278
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 26.2, Problem 26.2QQ
To determine
Whether the resistance increases, decreases or remain same if the radius and length is doubled.
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A cylindrical wire has a radius r and length ℓ. If both r and ℓ are doubled, does the resistance of the wire (a) increase, (b) decrease, or (c) remain the same?
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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.
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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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- Power P0 = I0 V0 is delivered to a resistor of resistance R0. If the resistance is doubled (Rnew = 2R0) while the voltage is adjusted such that the current is constant, what are the ratios (a) Pnew/P0 and (b) Vnew/V0? If, instead, the resistance is held constant while Pnew = 2P0, what are the ratios (c) Vnew/V0, and (d) Inew/I0?arrow_forwardA cylindrical conductor with resistivity ρ, length L, and radius r , has resistance R0=302Ω. If the resistivity and the length of the conductor both have their original values, but instead the radius of the conductor is increased by a factor of 5, what is the new value, in ohms, of the resistance?arrow_forwardTwo conducting wires X and Y are made of copper-nickel and have equal lengths, but the resistance of wire X is three times greater than that of wire Y’s. What is the ratio of the radius of wire X to that of Y’s? Choices: √3:1, 1:1, 1:√3, 1:3,arrow_forward
- An aluminum rod with a square cross section is 1.3 m long and 5.2 mm on edge. (a) What is the resistance between its ends? (b)What must be the diameter of a cylindrical copper rod of length 1.3 m if its resistance is to be the same as that of the aluminum rod?arrow_forwardThe figure shows cross sections through three long conductors of the same length and material, with square cross sections of edge lengths as shown. Conductor B fits snugly within conductor A, and conductor C fits snugly within conductor B. Rank the resistance of A, B, and C?arrow_forwardA certain wire has resistance R. Another wire, of the same material, has half the length and half the diameter of the first wire. The resistance of the second wire is: O R/4 O R/2 OR O 2R O 4Rarrow_forward
- Suppose you wish to fabricate a uniform wire from 1.10 g of copper. The wire is to have a resistance of R =- 0.420 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? umarrow_forwardSuppose you wish to fabricate a uniform wire from 2.40 g of copper. The wire is to have a resistance of R = 0.700 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?arrow_forwardAn aluminum rod with a square cross section is 1.8 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 1.8 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 x 108 Q:m. (a) Number i Units (b) Number i Unitsarrow_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_forwardThe density of mobile electrons in copper metal is 8.4 x 1028 m-3. Suppose that i = 9.0 × 1018 electrons/s are drifting through a copper wire. (This is a typical value for a simple circuit.) The diameter of the wire is 1.3 mm. In this case, about how many minutes would it take for a single electron in the electron sea to drift from one end to the other end of a wire 26 cm long? minutes (A puzzle: if the drift speed is so slow, how can a lamp light up as soon as you turn it on? We'll come back to this in the next chapter.)arrow_forwardThe density of mobile electrons in copper metal is 8.4 x 1028 m-3. Suppose that i = 4.7 × 1018 electrons/s are drifting through a copper wire. (This is a typical value for a simple circuit.) The diameter of the wire is 2.0 mm. In this case, about how many minutes would it take for a single electron in the electron sea to drift from one end to the other end of a wire 35 cm long? minutesarrow_forward
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