Two immersion heaters, A and B, are both connected to a 120.0-V supply. Heater A can raise the temperature of 1.00 L of water from20.0°C to 90.0°C in 6.40 min, whereas heater B can raise the temperature of 6.70 L of water from 20.0°C to 90.0°C in 5.00 min. What isthe ratio of the resistance of heater A to the resistance of heater B?7.5 *

Answer Given The volume of water in heater A VA = 1 L Time taken to raise the temperature of…

Answered: Two immersion heaters, A and B, are…

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter28: Current And Resistance

Section: Chapter Questions

Problem 57PQ

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At 20°C, the carbon resistor in an electric circuit connected to a 5.7-V battery has a resistance of 2.7 ✕ 102 Ω. What is the current in the circuit when the temperature of the carbon rises to 90°C? give answer in mA
What is the required resistance of an immersion heater that increases the temperature of 1.50 kg of water from 10.0°C to 50.0°C in 10.0 min while operating at 110 V?
At 20°C, the carbon resistor in an electric circuit connected to a 6.2-V battery has a resistance of 3.0 ✕ 102 Ω. What is the current in the circuit when the temperature of the carbon rises to 76°C?
A metal wire has a resistance of 10.00 W at a temperature of 20°C. If the same wire has a resistance of 10.55 W at 90°C, what is the resistance when its temperature is -20°C? 0.70 W 9.69 W 10.31 W О 13.8 W
At 20°C, the carbon resistor in an electric circuit connected to a 3.5-V battery has a resistance of 2.1 x 10² . What is the current in the circuit when the temperature of the carbon rises to 79°C? X 10.171
A metal resistance thermometer has a resistance = 75.0 2 at = 20 °C. The temperature coefficient of resistance of is 5.2x10^-3/0C. The thermometer is immersed in a container with a melting substance, at which point increases to 120.0 S. What is the melting point of the metal? O a 106.05 °C 149.49 °C 135.38 °C 118,61 °C O e 141.07 °C Of 132,99 °C g 99.49 °C 146.05 °C 139.49 °C 177.97 °C k 154.92 °C 142.50 °C 189.49 °C 92.99 °C 114.92 °C 78.61 °C 102.50 °C Or 137.97 °C 101.17 °C 95.38 °C O O O O 00
Plethysmographs are devices used for measuring changes in the volume of internal organs or limbs. In one form of this device, a rubber capillary tube with an inside diameter of 1.00 mm is filled with mercury at 20.0°C. The resistance of the mercury is measured with the aid of electrodes sealed into the ends of the tube. If 100 cm of the tube is wound in a helix around a patient’s upper arm, the blood flow during a heartbeat causes the arm to expand, stretching the length of the tube by 0.040 0 cm. From this observation and assuming cylindrical symmetry, you can find the change in volume of the arm, which gives an indication of blood flow. Taking the resistivity of mercury to be 9.58 x 10-7 Ω ⋅ m, calculate (a) the resistance of the mercury and (b) the fractional change in resistance during the heartbeat. Hint: The fraction by which the cross-sectional area of the mercury column decreases is the fraction by which the length increases because the volume of mercury is constant.
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?
What current (in A) must be produced by a 12.0 V battery-operated bottle warmer in order to heat 80.0 g of glass, 200 g of baby formula, and 2.70 x 102 g of aluminum from 20.0°C to 90.0°C in 4.70 min? (Assume the specific heats of glass, baby formula, and aluminum are 840 J/(kg · °C), 4,186 J/(kg · °C), and 900 J/(kg · °C), respectively.) A
What current (in A) must be produced by a 12.0 V battery-operated bottle warmer in order to heat 70.0 g of glass, 200 g of baby formula, and 3.50 ✕ 102 g of aluminum from 20.0°C to 90.0°C in 4.70 min? (Assume the specific heats of glass, baby formula, and aluminum are 840 J/(kg · °C), 4,186 J/(kg · °C), and 900 J/(kg · °C), respectively.)
The heating element of a coffeemaker operates at 120 V and carries a current of 5.00 A. Assuming the water absorbs all of the energy converted by the resistor, calculate how long it takes to heat 0.545 kg of water from room temperature (23.0°C) to the boiling point. min
3. A 10.0 m long RG-6 coaxial cable has an inner core of copper with a diameter of 7.112 mm. a. Solve for the resistance of the cable. (ans: 4.23 mn) b. How hot would the cable need to be to bring the resistance to 5.00 mn if the initial 20.0°C? (ans: 46.8°C)

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