A well-insulated electric water heater warms 131 kg of water from 20 °C to 43 °C in 30 minutes. Find the resistance of its heating element, which is connected across a 240 V potential difference. The specific heat of water is 4186 J/(kg °C). R =
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- 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?Nichrome is an alloy used for making electric heater wires. A nichrome wire of diameter 0.50 mm is to be used for this purpose. In operating conditions, the temperature of the wire is 968 °C, and the power of the electric heater is 1.5 kW. The potential difference applied to the heater wire is 110 volts. What should be the resistance (in ohms) of the wire at room temperature (20°C)? Electrical resistivity of nichrome at 20°C= 1.0 x 10-6 Qm Temperature coefficient of resistivity = 0.4 x 10-3 C-1Hi, I have a question regarding electromagnetism. The question is as follows: An aluminum rod has a resistance of 1.590 Ω at 20.0°C. Calculate the resistance of the rod at 102°C by accounting for the changes in both the resistivity and the dimensions of the rod. The coefficient of linear expansion for aluminum is 24.0 ✕ 10-6 (°C)−1.
- A 300W, 130 V incandescent lamp has a filament having a temperature coefficient of resistance equal to 0.007 at 0 degrees C. If the normal operating temperature of the bulb is 1825 degrees C, how much current will the bulb draw at the instant it is turned on. Assume the room temperature of 30 degrees C.At 20 degrees C, a gold wire of length 95 m with a diameter of 1.6 mm is connected across a 15 V dc source. What is the current in the wire? resistivity of gold at 20 degrees C = 2.24 x 10-8 olhm meters, temperature coefficent = 0.0083 1/KA platinum resistance thermometer has a resistance R0 = 50 Ω at atemperature To of 20 °C. The temperature coefficient of resistance for theconductor for Pt (α) is 3.92 x 10-3 (°C)-1. The thermometer is immersed in avessel containing molten tin, at which point the resistance increases to 92.8Ω. What is temperature of the liquid tin?
- A portable coffee heater supplies a potential difference of 12.0 V across a Nichrome heating element with a resistance of 1.92 Ω. (a) Calculate the power (in W) consumed by the heater. W (b) How many minutes would it take to heat 1.13 kg of coffee from 20.6°C to 46.2°C with this heater? Coffee has a specific heat of 4184 J (kg · °C) . Neglect any energy losses to the environment. minA silver wire has a resistance of 2.00 Ω at 34.0°C. Determine its resistance (in Ω) at 434°C. The temperature coefficient of resistivity for silver wire is 3.80 ✕ 10−3 (°C)−1. (Assume that the temperature coefficient of resistivity was measured using the reference temperature 20°C.)Gold is the most ductile of all metals. For example, 2 gram of gold can be drawn into a wire 2.4 km long. The density of gold is 19.3 x 103 kg/m3, and its resistivity is 2.44 x 10-8 Vm. What is the resistance of such a wire at 20.0°C? 2984 Ohms 1356 Ohms 1356250 Ohms 565Ohms
- The resistivity of blood is related to its hematocrit, the volume fraction of red blood cells in the blood. A commonly used equation relating the hematocrit h the blood resistivity ρ (in Ω⋅m) is ρ=1.32/(1−h)−0.79. In one experiment, blood filled a graduated cylinder with an inner diameter of 0.90 cm. The resistance of the blood between the 1.0 cm and 2.0 cm marks of the cylinder was measured to be 210 Ω. What was the hematocrit for this blood?A carbon resistor is to be used as a thermometer. On a winter day when the temperature is 4.00∘C, the resistance of the carbon resistor is 217.1 Ω . What is the temperature on a spring day when the resistance is 215.1 Ω ? Take the temperature coefficient of resistivity for carbon to be α = −5.00×10−4 C-1 .