Use the atomic theory of matter to explain why the resistance of a material should increase as its temperature increases.
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Q: Using the atomic model of matter, explain why the resistance of a metal varies with its temperature.
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- A certain metal has a temperature coefficient of resistivity of 0.0064 (°C) -1. A wire made from that material is connected to a source of constant voltage via a switch. At the instant the switch is closed, the temperature of the wire is 27 °C, and the initial power dissipated in the wire is Po. At what wire temperature has the power dissipated in the wire decreased to (1/2)Po? Number UnitsThe Resistance of Nichrome Wire The radius of a piece of Nichrome wire is 0.306 mm. (Assume the wire's temperature is 20°C.) (a) Calculate the résistance per unit length of this wire. SOLUTION Conceptualize This table shows that Nichrome has a resistivity two orders of magnitude larger than the best conductors in the table. Therefore, we expect it to have some special practical applications that the best conductors may not have. Categorize We model the wire as a ---Select--- so that a simple geometric analysis can be applied to find the resistance. Analyze Use this equation and the resistivity of Nichrome to find the resistance per unit length (in 0/m): R 0/m %3D %3D %3D A (b) If a potential difference of 10 V is maintained across a 1.0 m length of the Nichrome wire, what is the current in the wire? SOLUTION Analyze Use this equation to find the current (in A): AV I = %3D A R Finalize Because of its high resistivity and resistance to oxidation, Nichrome is often used for heating…1. Two cylindrical bars, each with diameter of 2.20 cm, are welded together end to end. One of the original bars is copper and is 0.380 m long. The other bar is iron and is 0.190 m long. What is the resistance between the ends of the welded bar at 20°C? (The resistivity of copper and iron can be obtained from the textbook) Ω
- The resistance of a wire increases by 22 percent when the temperature of the wire is increased from 10 degrees C to 105 degrees C. What is the temperature coefficent (a) of the wire's material?Answer #2The Iceberg Kid, infamous for imposing a deep freeze on whoever disagrees with him, discovers that in his advanced teenaged years his hands constantly feel chilled. As he is a cool physics student, the Iceberg Kid quickly calculates the resistance of the resistor needed to warm his hands. Given that 185 J185 J of thermal energy is generated by the resistor during 6.19 s6.19 s of operation while connected to a 12.0 V12.0 V battery, find the correct value of this resistance (and avoid a cold, cold fate).