Question 2/ Vraag 2: Current and Resistance2.1A piece of wire I cm long carries a current I when a voltage V is applied across its endsat a temperature of 0°C. If the resistivity of the material of which the wird is made varies asshown in the figure, what length of the same diameter wire is needed so that the same currentflows when the same voltage is applied at temperature 400°C?(4)121082004006008001000Temperature ("C)Resistivity (10 2m)

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Answered: Question 2/ Vraag 2: Current and…

University Physics Volume 2

18th Edition

ISBN:9781938168161

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Chapter9: Current And Resistance

Section: Chapter Questions

Problem 14CQ: The current I is measured through a sample of an ohmic material as a voltage V is applied, (a) What...

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The current I is measured through a sample of an ohmic material as a voltage V is applied, (a) What is the current when the voltage is doubled to 2V (assume the change in temperature of the material is negligible)? (b) What is the voltage applied is the current measured is 0.27 (assume the change in temperature of the material is negligible)? What will happen to the current if the material if the voltage remains constant, but the temperature of the material increases significantly?
The diameter of 0-gauge copper wire is 8.252 mm. Find the resistance of a 1.00-km length of such wire used for power transmission, taking into account the thermal expansion of the tungsten filament. You may assume a thermal expansion coefficient of 12×10−6/C. By what percentage does your answer differ from the one you get without taking the thermal expansion into account? a) 4.5Ω (total), 7.1% decrease b) 0.34Ω (total), 93% decrease c) 4.7Ω (total), 3.0% decrease d) 5.0Ω (total), 4.2% increase
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Resistivity in metals increases with temperature according to the equation: ρ(T) = ρ0[1 + α(T - T0)] where α is the temperature coeficcient of restivity, and ρ0 is the restivity at the reference temperature T0. For a particular wire, the temperature coeficcient of restivity is α = 3.83 X 10-3 °C-1, and the restivity is ρ0 = 7.71 X 10-7 Ωm at the reference temperature T0 = 297°C. Find an expression for the temperature T2, at which the resistance of a particular wire will be twice as high as it is at the reference temperature T0. (Both temperatures are in degrees Celsius) Use this expression to find the temperature in degrees Celsius for T2. If the wire has a length of 1.00m and it has a circular cross section with a radius of 1.00cm, what is the resistance in ohms, at a temperature which is twice the reference temperature, T = 2T0 ?
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Consider a wire made of copper with conductivity 6.0x10^7 omega^-1m^-1, which has a circular cross-section of radius 0.29 mm. In a particular circuit, this wire Carrie’s a current of 6.5 A. Part (a) what is the electrical field, involves per meter, inside the wire? Part (b) if we replace this wire with the gold one of the same size, with 4.1x10^7omega^-1m^-1, conductivity what will the electrical field in the wire be?
1. The resistance of a wire of length 10 m is 2 ohm. If the area of cross section of the wire is 2 × 10–7 m2, determine its (a) resistivity, and (b) conductivity 2. Calculate the (a) resistivity and the (b) conductivity of a material that has a length of 15 m and a cross-sectional area of 5 × 10–8 m2 and a resistance (R) of 5 Ω.
A copper (resistivity = 1.72 EXP-8 Ω.m) conductor with a square cross section, 1.0 mm on a side is 100 m long and is initially 20oC. 1. If the temperature coefficient (a) of copper is 0.00393 per degree Celsius, what is the change in resistance of the copper conductor if the temperature is increased to 100 degrees Celsius? 2. What is the resistance of this conductor?
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