We have 2 cubes, one measuring I' m on one side and the other '21' m. Find the ratio of conductivities of the materials of the cubes so that the resistance between any two faces of one cube is the same as that for the other cube.

Electricity for Refrigeration, Heating, and Air Conditioning (MindTap Course List)
10th Edition
ISBN:9781337399128
Author:Russell E. Smith
Publisher:Russell E. Smith
Chapter12: Electronic Control Devices
Section: Chapter Questions
Problem 14RQ
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1. We have 2 cubes, one measuring I' m on one side and the other '2l' m. Find the ratio of
conductivities of the materials of the cubes so that the resistance between any two faces of one
cube is the same as that for the other cube.
2. How long in seconds must a current of 100 mA flow so as to transfer a charge of 80 C?
3. Calculate the cross-sectional area, in mm^2, of a piece of copper wire, 40 m length and having a
resistance of 0.25 Q. Take the resistivity of copper as 0.02x10-6 Nm.
4. How much work will be done by an electric energy source with a potential difference of 3 kV that
delivers a current of 1 A for 1 minute.
5. A 40 m metallic conductor of cross-sectional area 1 mm? has a resistance of 12 Q. Calculate the
conductivity of the metal.
6. A heating element supplies 300 kJ in 50 minutes. Find the p.d. across the element when the
element when the current is 2 A.
7. The conductance of a certain wire is 0.5S. Another wire of the same material and at the same
temperature has a diameter twice as great and a length three times as great. What is the
conductance of the second wire?
Transcribed Image Text:1. We have 2 cubes, one measuring I' m on one side and the other '2l' m. Find the ratio of conductivities of the materials of the cubes so that the resistance between any two faces of one cube is the same as that for the other cube. 2. How long in seconds must a current of 100 mA flow so as to transfer a charge of 80 C? 3. Calculate the cross-sectional area, in mm^2, of a piece of copper wire, 40 m length and having a resistance of 0.25 Q. Take the resistivity of copper as 0.02x10-6 Nm. 4. How much work will be done by an electric energy source with a potential difference of 3 kV that delivers a current of 1 A for 1 minute. 5. A 40 m metallic conductor of cross-sectional area 1 mm? has a resistance of 12 Q. Calculate the conductivity of the metal. 6. A heating element supplies 300 kJ in 50 minutes. Find the p.d. across the element when the element when the current is 2 A. 7. The conductance of a certain wire is 0.5S. Another wire of the same material and at the same temperature has a diameter twice as great and a length three times as great. What is the conductance of the second wire?
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