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A certain laboratory experiment requires an aluminum wire of length of 35.0 m and a resistance of 4.40 Ω at 20.0°C. What diameter wire must be used? (The resistivity of aluminum at 20.0°C is 2.82 10-8 Ω · m.)
Answer in mm
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- A wire (of unknown material) is 10 m long with a 0.9 mm diameter and has a resistance of 0.383 Q at room temperature (20 °C). What is its resistance (in Q) at 190 °C? Use the Resistivity Table as needed.arrow_forwardAluminum wire has diameter of 3 mm. How many meters of this wire would be needed to give resistance 2 Ω if the resistivity of aluminum is 2.8 × 10−8Ω. ?.arrow_forwardPlatinum is commonly used as a resistance thermometer since Platinum is relatively free from corrosive effects and has a high melting point. Suppose that at 20 oC the resistance of a Platinum wire is 164.2 Ω. When this wire is placed in a solution, the resistance of the wire becomes 187.4 Ω. What is the temperature of the solution? The temperature coefficient of resistivity of Platinum is α = 0.00393.arrow_forward
- A 19.5-g sample of nichrome with density 8.400 ✕ 103 kg/m3 is made into a wire 1.45 ✕ 103 m long. If the resistivity of nichrome is 1.000 ✕10−6 Ω · m, what is the resistance of this wire?arrow_forwardA copper wire has a resistance of 0.475 at 20.0°C, and an iron wire has a resistance of 0.495 at the same temperature. At what temperature (in °C) are their resistances equal? Enter a number. °℃arrow_forwardQuestion 3: A platinum resistance thermometer is a device that allows us to determine the temperature by measuring the resistance of a piece of pure platinum wire. In the interval between the freezing point of water and 700.0°C, the relationship between the resistance and the Celsius temperature Tc is accurately captured by the formula R = Ro (1 + A Tc + B (Tc)²) where A and B are constants determined by measurements at the ice point of water, the steam point of water, and the melting point of zinc (419.514°C). (a) If R equals 10.000 ohms at the freezing point of water, 13.946 ohms at the boiling point of water, and 24.174 ohms at the melting point of zinc, find RO, A, and B (b) If the resistance is measured to be 17.7 ohms, what is the temperature? (c) Plot R versus Tc in the range from 0°C to 700.0°C. Math tip: When we have several equations for several unknown variables, we can use the first equation to solve for one of the variables in terms of the others and then replace that…arrow_forward
- A wire of diameter 0.550 mm and length 45.0 m has a measured resistance of 2.80 Ω. What is the resistivity of the wire?arrow_forwardA metal wire has a length of 40.0m and a diameter of 0.500mm .The entire length of wire has a resistance of 1.4 Ω. Find the resistivity (in Ω · m) of the metal.arrow_forwardAn engineering intern is studying the effect of temperature on the resistance of a current carrying wire. She applies a voltage to a aluminum wire at a temperature of 53.0°C and notes that it produces a current of 1.10 A. If she then applies the same voltage to the same wire at -88.0°C, what current should she expect (in A)? The temperature coefficient of resistivity for aluminum is 3.90 x 10-³ (°C)-¹. (Assume that the reference temperature is 20°C.) Aarrow_forward
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