College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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- When an electric heater is turned on, the Nichrome heating element is at 0° C and draws a current of 14 A, with a potential difference of 120 V between the ends of the element. The element heats up to 744° C, with the potential difference constant. Find the final current. (The temperature coefficient of resistivity of Nichrome is 4.0 10-4 (°C)-1.)arrow_forwardThe resistivity of pure germanium = 600 x 10-³ Nm. Calculate the resistance of a cylinder of pure germanium with a radius of 1.5 mm and a length 7.0 mm. Note the units of millimeters. R= How long would a cylinder of this radius need to be in order for the resistance of pure germanium to be equal to 2250 ohms? L= mmarrow_forwardWhen an electric heater is turned on, the Nichrome heating element is at 0° C and draws a current of 18 A, with a potential difference of 120 V between the ends of the element. The element heats up to 795° C, with the potential difference constant. Find the final current. (The temperature coefficient of resistivity of Nichrome is 4.0 10-4 (°C)-1.)arrow_forward
- (a) A 35.5-m length of copper wire at 20.0°C has a radius of 0.23 mm. If a potential difference of 7.0 V is applied across the length of the wire, determine the current in the wire. (Use the values in the following table.) Resistivities and Temperature Coefficients of Resistivity for Various Materials (at 20°C) Material Silver A Copper Gold Aluminum Tungsten Iron Platinum Lead Nichrome a Carbon Germanium Silicon Glass Hard rubber Sulfur Quartz (fused) Resistivity (2. m) 1.59 x 107 1.7 x 10-8 2.44 x 10-8 2.82 x 10 5.6 x 107 10.0 x 10 11 x 10 -8 -8 0.46 -8 640 22 x 10-8 3.5 x 107 -8 -8 150 x 10- -8 -5 1010-1014 ≈1013 1015 75 x 1016 Temperature Coefficient of Resistivity [(°C)-¹] 3.8 x 10 -3 3.9 × 10-3 3.4 x 10-3 3.9 x 107 5.0 x 10 4.5 x 10-3 3.92 x 10 -3 -3 0.4 x 107 -3 3.9 × 10-3 -3 -3 -0.5 x 107 -48 x 10-3 -75 x 10-3 aA nickel-chromium alloy commonly used in heating elements. (b) If the wire is heated to 40.0°C while the 7.0-V potential difference is maintained, what is the resulting…arrow_forwardNeeds Complete typed solution with 100 % accuracy.arrow_forwardPlatinum has a resistivity of 10.6×108 m at 20°C. What will the resistivity of platinum when then temperature is increased to 1000°C. (Take a as 3.927×10-³)arrow_forward
- (a) A 35.1-m length of copper wire at 20.0°C has a radius of 0.23 mm. If a potential difference of 7.0 V is applied across the length of the wire, determine the current in the wire. (Use the values in the following table.) Resistivities and Temperature Coefficients of Resistivity for Various Materials (at 20°C) Material Resistivity(Ω · m) Temperature Coefficientof Resistivity [(°C)−1] Silver 1.59 ✕ 10−8 3.8 ✕ 10−3 Copper 1.7 ✕ 10−8 3.9 ✕ 10−3 Gold 2.44 ✕ 10−8 3.4 ✕ 10−3 Aluminum 2.82 ✕ 10−8 3.9 ✕ 10−3 Tungsten 5.6 ✕ 10−8 4.5 ✕ 10−3 Iron 10.0 ✕ 10−8 5.0 ✕ 10−3 Platinum 11 ✕ 10−8 3.92 ✕ 10−3 Lead 22 ✕ 10−8 3.9 ✕ 10−3 Nichromea 150 ✕ 10−8 0.4 ✕ 10−3 Carbon 3.5 ✕ 10−5 −0.5 ✕ 10−3 Germanium 0.46 −48 ✕ 10−3 Silicon 640 −75 ✕ 10−3 Glass 1010–1014 Hard rubber ≈1013 Sulfur 1015 Quartz (fused) 75 ✕ 1016 aA nickel–chromium alloy commonly used in heating elements. ??A(b) If the wire is heated to 36.0°C while the 7.0-V potential difference is…arrow_forward(a) A 34.9-m length of copper wire at 20.0°C has a radius of 0.29 mm. If a potential difference of 7.0 V is applied across the length of the wire, determine the current in the wire. (Use the values in the following table.) Resistivities and Temperature Coefficients of Resistivity for Various Materials (at 20°C) Material Resistivity(Ω · m) Temperature Coefficientof Resistivity [(°C)−1] Silver 1.59 ✕ 10−8 3.8 ✕ 10−3 Copper 1.7 ✕ 10−8 3.9 ✕ 10−3 Gold 2.44 ✕ 10−8 3.4 ✕ 10−3 Aluminum 2.82 ✕ 10−8 3.9 ✕ 10−3 Tungsten 5.6 ✕ 10−8 4.5 ✕ 10−3 Iron 10.0 ✕ 10−8 5.0 ✕ 10−3 Platinum 11 ✕ 10−8 3.92 ✕ 10−3 Lead 22 ✕ 10−8 3.9 ✕ 10−3 Nichromea 150 ✕ 10−8 0.4 ✕ 10−3 Carbon 3.5 ✕ 10−5 −0.5 ✕ 10−3 Germanium 0.46 −48 ✕ 10−3 Silicon 640 −75 ✕ 10−3 Glass 1010–1014 Hard rubber ≈1013 Sulfur 1015 Quartz (fused) 75 ✕ 1016 (b) If the wire is heated to 32.0°C while the 7.0-V potential difference is maintained, what is the resulting current in the wire?arrow_forwardCopper is used in all household wiring. However, Aluminum, being much cheaper, is used in power distribution over large distances. The resistivity of Cu wire is 1.68x10-8 m and the resistivity of Aluminum wire is 2.65x108 2m. A typical power line might be 4.6 cm in diameter. Power lines transmit power at very high voltages so that relativley small current can be used. What is the power loss in a single line of Aluminum carrying a current of 140 A through a distance of 220 km? Number W. What is the power loss in a single line of Copper carrying a current of 140 A through a distance of 220 km? Number W. If the average cost of electricity in Ontario is $0.125 per kWh, the cost of copper is 12.6 dollars /kg, and the cost of Aluminum is 4 dollars/kg, how much time of continuous power transmission is required/(km of line) before the cost savings during use balances the extra cost of using copper. The density of Aluminum is 2700kg/m³ and the density of copper is 8960 kg/m³. Number years.arrow_forward
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