Explanation Write the expression for resistance of wire. R = ρ L A (I) Here, R is the resistance of wire, ρ is the resistivity of wire, L is the length of the wire, and A is the area of the wire. Write the expression for volume of the wire. V = A L Here, V is the volume of the wire, A is the area of the wire, L is the length of the wire. Rearrange the above equation. A = V L (II) Since volume is defined as mass divided by density, the above equation is written as A = m / d L = m d L (III) Use equation (III) in (I). R = ρ L m d L Rearrange the above equation to find mass per unit length. m L = ρ d R L (IV) Write the expression for mass per unit length of copper wire from equation (IV). ( m L ) Copper = ρ Cu d Cu R L (V) Here, ( m L ) Copper is the mass per unit length of copper wire. Write the expression for mass per unit length of Aluminium wire from equation (IV). ( m L ) Aluminium = ρ Al d Al R L (VI) Here, ( m L ) Aluminium is the mass per unit length of Aluminium wire. Conclusion: Given that the resistivity of copper is ρ cu = 1.68 × 10 − 8 Ω m , density of copper is 8.9 g / cm 3 , and resistance per kilometre is R L = 50 m Ω / km . Substitute 1.68 × 10 − 8 Ω m for ρ cu , 8.9 g / cm 3 for d , and 50 m Ω / km for R L in equation (V), to find ( m L ) Copper . ( m L ) Copper = 1.68 × 10 − 8 Ω m × 8.9 g cm 3 × 1 kg 10 3 g × 1 cm 3 10 6 m 3 50 m Ω km × 1 Ω 10 3 m Ω × 1 km 10 3 m = ( 1

4th Edition

ISBN: 9780134988566

Author: Wolfson, Richard

Publisher: Pearson Education,

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Temperature Variance of Resistance

Electrical resistance or simply resistance is the property of a material that opposes the free flow of electrons through it. The total amount of resistance to the flow of charges (or current) is affected by many factors like the length of the conducting …

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Chapter 24, Problem 67P

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The cost per metre of copper and aluminium wire.

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Chapter 24, Problem 66P

Chapter 24, Problem 68P

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Chapter 24 Solutions

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Ch. 24.1 - Prob. 24.1GI Ch. 24.2 - Two wires carry the same current I. Wire A has a...Ch. 24.3 - Prob. 24.3GI Ch. 24.4 - You put a variable resistance across a battery...Ch. 24.5 - Todays power tools are often cordless, powered by...Ch. 24 - Explain the difference between current and current...Ch. 24 - A constant electric field generally produces a...Ch. 24 - Good conductors of electricity are often good...Ch. 24 - Does an electric stove burner draw more current...Ch. 24 - A person and a cow are standing in a field when...

Ch. 24 - You put a 1.5-V battery across a piece of...Ch. 24 - Prob. 7FTD Ch. 24 - A 50-W and a 100-W lightbulb are both designed to...Ch. 24 - Equation 24.8a suggests that no power can be...Ch. 24 - Whats wrong with this news report: A power-line...Ch. 24 - A wire carries 1.5 A. How many electrons pass...Ch. 24 - A 12-V car battery is rated at 80 ampere-hours,...Ch. 24 - Biologists measure the total current due to...Ch. 24 - The National Electrical Code specifies a maximum...Ch. 24 - The electric field in an aluminum wire is 85 mV/m....Ch. 24 - What electric field is necessary to drive a 7.5-A...Ch. 24 - Prob. 17E Ch. 24 - A 1.0-cm-diameter rod carries a 50-A current when...Ch. 24 - Use Table 24.1 to determine the conductivity of...Ch. 24 - Find the resistance of a heating coil that draws...Ch. 24 - Prob. 21E Ch. 24 - Whats the current in a 47-k resistor with 110 V...Ch. 24 - The third rail that carries electric power to a...Ch. 24 - What current flows when a 45-V potential...Ch. 24 - A uniform wire of resistance R is stretched until...Ch. 24 - A cars starter motor draws 125 A with 11 V across...Ch. 24 - A 4.5-W flashlight bulb draws 750 mA. (a) At what...Ch. 24 - A watch uses energy at the rate of 240 W. What...Ch. 24 - A 35- electric stove burner consumes 1.5 kW of...Ch. 24 - An incandescent lightbulb draws 625 mA, while an...Ch. 24 - Though rare, electrocution has been reported under...Ch. 24 - You touch a defective appliance while standing on...Ch. 24 - You have a typical resistance of 100 k. (a) How...Ch. 24 - Example 24.3: Modern houses are often equipped...Ch. 24 - Example 24.3: The maximum current rating for...Ch. 24 - Prob. 36E Ch. 24 - Example 24.3: The solar corona is the Sun’s hot...Ch. 24 - Prob. 38E Ch. 24 - Example 24.4: A potential difference of 233 mV is...Ch. 24 - Example 24.4: Find the length of the electrolyzer...Ch. 24 - Example 24.4: Magnetic effects involving Jupiter’s...Ch. 24 - An ion channel in a cell membrane carries 2.4 pA...Ch. 24 - A lightbulb filament has diameter 0.050 mm and...Ch. 24 - A gold film in an integrated circuit measures 1.85...Ch. 24 - A copper wire joins an aluminum wire whose...Ch. 24 - Prob. 46P Ch. 24 - In a study of proteins mediating cell membrane...Ch. 24 - The single most important use of the element gold...Ch. 24 - The maximum safe current in 12-gauge...Ch. 24 - Silver and iron wires of the same length and...Ch. 24 - You have a cylindrical piece of material 2.4 cm...Ch. 24 - How must the diameters of copper and aluminum wire...Ch. 24 - Youre writing the instruction manual for a power...Ch. 24 - An implanted pacemaker supplies the heart with 72...Ch. 24 - A rectangular pad made of gold is used as a...Ch. 24 - Each pulse produced by the Taser described in the...Ch. 24 - The Nissan Leaf is an all-electric car powered by...Ch. 24 - An electric heater is tested by immersing it in...Ch. 24 - (a) Determine the power associated with the...Ch. 24 - At a particular point in a material with...Ch. 24 - A thermally insulated container of seawater...Ch. 24 - Youre heading out for spring break, but your car...Ch. 24 - Two cylindrical resistors are made from the same...Ch. 24 - Youre working on a new high-speed rail system. It...Ch. 24 - A 100%-efficicnt electric motor is lifting a 15-N...Ch. 24 - A power plant produces 1000 MW to supply a city 40...Ch. 24 - Prob. 67P Ch. 24 - A 240-V electric motor is 90% efficient, meaning...Ch. 24 - A metal bar has rectangular cross section 5.0 cm...Ch. 24 - An immersion-type heating coil is connected to a...Ch. 24 - Prob. 71P Ch. 24 - The current density in a particle beam with...Ch. 24 - You work for an automobile manufacturer developing...Ch. 24 - During the brownout, the current in conductors...Ch. 24 - Which of the following occurs in the conductors of...Ch. 24 - During the brownout, the power dissipated in...Ch. 24 - Prob. 77PP

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