Two wires are identical, except that one is aluminum and one is copper. The aluminum wire has a resistance of 0.6430. What is the resistance of the copper wire? Take the resistivity of copper to be 1.72 x 108 0-m, and that of aluminum to be 2.82 x 108 0-m. Number Units
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- Resistance depends on the size and shape of a conductor. We expect a long wire to have higher resistance than a short one (everything else being the same) and a thicker wire to have a lower resistance than a thin one. Resistance also depends on the intrinsic property of the conductor called the resistivity. If the resistivity of a particular wire is 70.26x10-8 Ω ⋅ m, the wire is 44.47mm in length, and the radius of the diameter of the wire is 1.95m, what is the resistance of the wire in units of Ohms (Ω)?A coil of wire has a resistance of 36.2Ω at 26 °C and 61.7Ω at 67 °C. What is the temperature coefficient of resistivity?The resistivity of aluminum is 2.82 X 10* -8 Ω. m. HINT (a) Find the resistance of an aluminum wire (in ohms) with a radius of 1.28 mm and a length of 1.03 m. (b) Calculate the volume (in m) of aluminum in the wire. m3 (c) Suppose that volume of aluminum is formed into a new wire with a length of 2.32 m. Find the new resistance of the wire (in ohms).
- Determine the length (in mm) of a gold conductor that has a resistance of 0.019 Ω and a cross-sectional area of 2.1 x 10-9 m2. The resistivity of gold is 2.2 x 10-8 Ω-m [round your final answer to one decimal place]. An aluminum conductor with the same length and area as in 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 falseare made of the same metal. 7) wires 1 and 2 wire 2 has twice the length and twice the diameter of wire 1. What are the ratios (a) Q₂/Q² of the resistivities and (b) R.2/121 of the resistance of the two wires? A) P₁/P₁ = 1, 1₂/1²₁=0.5 13) P₂/p₁ = 1, 82₂/124₁ =0.25 C) P₁/P₁ = 0.5² h₂/1²₁=0.5 D) P₁/P₁ = 0.25, 1₂₁/1²₁=0.5 2 रA copper wire has a resistance of 0.565 N at 20.0°C, and an iron wire has a resistance of 0.597 N at the same temperature. At what temperature are their resistances equal? The temperature coefficient of resistivity for copper is 3.90 x 10-3(°C)-1 and for iron it is 5.00 x 10-3(°C)-1. °C