Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 25, Problem 43P
To determine
The length of copper wire
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A copper wire of length 2.5 m and cross-sectional area 2.4 x 10-7 m2 has a resistivity of 1.7 x 10-8 Ω m. What is the resistance of the wire?
Two wires are identical, except that one is aluminum and one is copper. The aluminum wire has a resistance of 0.344Ω. What is the resistance of the copper wire? Take the resistivity of copper to be 1.72 x 10-8 Ω·m, and that of aluminum to be 2.82 x 10-8 Ω·m.
A 3.0 length of copper wire (ρ = 1. 78 x 10−8Ωm) at 20oC has a cross section area of 4mm2. What is the electric resistance of this wire?
Chapter 25 Solutions
Physics for Scientists and Engineers
Ch. 25 - Prob. 1PCh. 25 - Prob. 2PCh. 25 - Prob. 3PCh. 25 - Prob. 4PCh. 25 - Prob. 5PCh. 25 - Prob. 6PCh. 25 - Prob. 7PCh. 25 - Prob. 8PCh. 25 - Prob. 9PCh. 25 - Prob. 10P
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- A 10.00-meter long wire cable that is made of copper has a resistance of 0.051 ohms, (a) What is the weight if the wire was made of copper? (b) What is the weight of a 10.00-meter-long wire of the same gauge made of aluminum? (c)What is the resistance of the aluminum wire? The density of copper is 8960 kg/m3 and the density of aluminum is 2760 kg/m3.arrow_forwardCalculate the equivalent resistance between points P and Q of the electrical network shown in Figure P29.80.arrow_forwardWire B has twice the length and twice the radius of wire A. Both wires are made from the same material. If wire A has a resistance R, what is the resistance of wire B? (a) 4R (b) 2R (c) R (d) 12R (e) 14Rarrow_forward
- Explain why R=R0(1 + a?T) for the temperature variation of the resistance R of an object is not as accurate as P=P0(1 + a?T) which gives the temperature variation of resistivity P.arrow_forwardA potential difference of 1.00 V is maintained across a 10.0- resistor for a period of 20.0 s. What total charge passes by a point in one of the wires connected to the resistor in this time interval? (a) 200 C (b) 20.0 C (c) 2.00 C (d) 0.005 00 C (e) 0.050 0 Carrow_forwardYou have a 100 meter long hollow square copper wire that has a side length of 5mm. The diameter of the cylindrical interior is 3.5 mm. If copper had a resistivity of (1.7x10^(-8)Ωm, what is the resistance of the wire? The units for the options are Ω. a.0.022 b. 0.068 c.0.11 d. 0.18 E.0.24arrow_forward
- What should be the diameter of an aluminum wire for its resistance to be equal to that of a copper wire which diameter is 2.17 mm? The two wires are of the same length. ρ (Copper) = 1.68 x 10-8 Ωm ρ (Aluminum) = 2.65 x 10-8 Ωm Note: A = πd2/4arrow_forwardA gold wire with a circular cross-section has a mass of 1.30 g and a resistance of 0.770 Ω. At 20°C, the resistivity of gold is 2.44 ✕ 10−8 Ω · m and its density is 19,300 kg/m3. How long (in m) is the wire? m What is the diameter (in mm) of the wire? mmarrow_forwardIf one mile of 24 gauge copper wire has a resistance of 0.14 kΩ and the resistivity of the copper is 1.7 × 10 ^ –8 Ωm, what is the diameter of the wire? (1 mile = 1.6 km) a. 0.50 mm b. 0.40 mm c. 0.63 mm d. 0.80 mm e. 0.25 mmarrow_forward
- An insulated extension cord is made of a 1.5 m long copper rod with a diameter of 2.3 mm. What is the resistance of the extension cord? If an aluminum wire of the same length will be used instead of copper, what should be the diameter of the aluminum wire to have the same resistance?arrow_forwardWhat is the resistance of a 7.4-m length of copper wire 1.2 mm in diameter? The resistivity of copper is 1.68×10^ −8Ω⋅marrow_forward
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