5.6. You have three copper wires. Two have the same cross-sectional radius, but one is twice as long as the other. The third is twice the diameter of the other two and is equal in length to the longer of the other two. (a) Rank the wires from least resistance to most resistance. (b) Calculate the resistance of the shortest wire if it is 20 m long and has a radius of 0.91 mm. (The conductivity of copper is 5.9 × 107 A/V m or 5.9 × 107 (m) -¹.)
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- A 30.0 m long extension cord is made from two #19 gauge copper wires. (a) What is the resistance of the wire at 20 degrees Celsius ? The diameter of the copper wire is 0.912 mm.(b) If the copper wire is replaced by an Aluminium wire of the same length, what is the diameter so that the new wire has a resistance no greater than the old?a) Determine the length (in mm) of a gold conductor that has a resistance of 0.018 Ω and a cross-sectional area of 3.4 x 10-9 m2. The resistivity of gold is 2.2 x 10-8 Ω-m [round your final answer to one decimal place]. b) An aluminum conductor with the same length and area as in the question above would have a higher resistance than the gold conductor. The resistivity of aluminum is 2.6 x 10-8 Ω-m. True or False?A light bulb filament is made of tungsten wire with a resistivity, at room temperature (20°C), of 5.6 x 10-8 Q.m and a temperature coefficient of 0.0045 (°C)-1 The wire is 50 cm long and has a diameter of 45 Um. (a) What is the resistance of the filament at room temperature (20°C)? (Put this answer in the box) (b) What is the resistance of the filament at a typical operating temperature of 3000°C ? Answer:
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