Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
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Chapter 28, Problem 57PQ
To determine
The resistance of water heater’s heating element.
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How long will this heater take to bring the water to a boil?
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?
Chapter 28 Solutions
Physics for Scientists and Engineers: Foundations and Connections
Ch. 28.1 - Prob. 28.1CECh. 28.2 - Prob. 28.2CECh. 28.3 - Prob. 28.3CECh. 28.5 - When a lightbulb burns out, its filament breaks so...Ch. 28.6 - A battery with terminal potential is connected to...Ch. 28.7 - A battery of terminal potential is connected to a...Ch. 28 - Prob. 1PQCh. 28 - Prob. 2PQCh. 28 - Prob. 3PQCh. 28 - Prob. 4PQ
Ch. 28 - Prob. 5PQCh. 28 - Prob. 6PQCh. 28 - Prob. 7PQCh. 28 - Prob. 8PQCh. 28 - Prob. 9PQCh. 28 - Prob. 10PQCh. 28 - Prob. 11PQCh. 28 - Prob. 12PQCh. 28 - Prob. 13PQCh. 28 - Prob. 14PQCh. 28 - The current in a wire varies with time (measured...Ch. 28 - Prob. 16PQCh. 28 - The amount of charge that flows through a copper...Ch. 28 - Prob. 18PQCh. 28 - Prob. 19PQCh. 28 - Prob. 20PQCh. 28 - Prob. 21PQCh. 28 - Prob. 22PQCh. 28 - A copper wire that is 2.00 mm in radius with...Ch. 28 - Prob. 24PQCh. 28 - Prob. 25PQCh. 28 - Prob. 26PQCh. 28 - What is the electric field in an aluminum wire if...Ch. 28 - Prob. 28PQCh. 28 - Prob. 29PQCh. 28 - Prob. 30PQCh. 28 - Prob. 31PQCh. 28 - Prob. 32PQCh. 28 - Two concentric, metal spherical shells of radii a...Ch. 28 - Prob. 34PQCh. 28 - Prob. 35PQCh. 28 - Prob. 36PQCh. 28 - Prob. 37PQCh. 28 - A lightbulb is connected to a variable power...Ch. 28 - Prob. 39PQCh. 28 - Prob. 40PQCh. 28 - Prob. 41PQCh. 28 - Prob. 42PQCh. 28 - Prob. 43PQCh. 28 - A Two wires with different resistivities, 1 and 2,...Ch. 28 - A copper and a gold wire are supposed to have the...Ch. 28 - Gold bricks are formed with the dimensions 7358134...Ch. 28 - Prob. 47PQCh. 28 - Prob. 48PQCh. 28 - Prob. 49PQCh. 28 - Prob. 50PQCh. 28 - Prob. 51PQCh. 28 - Prob. 52PQCh. 28 - Prob. 53PQCh. 28 - Prob. 54PQCh. 28 - A two-slice bread toaster consumes 850.0 W of...Ch. 28 - Prob. 56PQCh. 28 - Prob. 57PQCh. 28 - Prob. 58PQCh. 28 - Prob. 59PQCh. 28 - Prob. 60PQCh. 28 - Prob. 61PQCh. 28 - Prob. 62PQCh. 28 - Prob. 63PQCh. 28 - Prob. 64PQCh. 28 - Prob. 65PQCh. 28 - Prob. 66PQCh. 28 - Prob. 67PQCh. 28 - Prob. 68PQCh. 28 - Prob. 69PQCh. 28 - Prob. 70PQCh. 28 - Prob. 71PQCh. 28 - Prob. 72PQCh. 28 - Prob. 73PQCh. 28 - Prob. 74PQCh. 28 - Review When a metal rod is heated, its resistance...Ch. 28 - Prob. 76PQCh. 28 - Prob. 77PQCh. 28 - Prob. 78PQCh. 28 - Prob. 79PQCh. 28 - Prob. 80PQCh. 28 - Prob. 81PQCh. 28 - A conducting material with resistivity is shaped...
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- An immersion heater used to boil water for a single cup of tea plugs into a 120 V outlet and is rated at 300 W. Suppose your super-size, super-insulated tea mug contains 400 g of water at a temperature of 13 ●C. You can ignore the energy needed to raise the temperature of the mug and the heater itself. 1)What is the resistance of the heater?arrow_forwardTwo 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 from 20.0°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 is the ratio of the resistance of heater A to the resistance of heater B? 7.5 *arrow_forwardAt 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 mAarrow_forward
- 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 10.171arrow_forwardAt 20°C, the carbon resistor in an electric circuit connected to a 5.0-V battery has a resistance of 2.0 X 102 ?. What is the current in the circuit when the temperature of the carbon rises to 80°C? The temperature coefficient of resistivity for carbon is -0.5 X 10-3 ℃-1.arrow_forwardAt 20.0°C, the carbon resistor in an electric circuit connectedto a 5.0 - V battery has a resistance of 2.0 x 102 Ω. What is thecurrent in the circuit when the temperature of the carbonrises to 80.0°C?arrow_forward
- The heating element of a coffeemaker operates at 120 V and carries a current of 7.70 A. Assuming the water absorbs all of the energy converted by the resistor, calculate how long it takes to heat 0.252 kg of water from room temperature (23.0°C) to the boiling point. Step 1 The energy required to raise the temperature of an amount of water of mass m, from T; = 23.0°C to the boiling point, T = 100°C, is Q = mC„(AT), where the specific heat of water c = 4186 J/kg · °C. We have Q = m„Cw(AT) = m„Cw(T – T;) 0.252 0.252 kg )( 4186 J/kg · °C 77 77 °c) 0.81225 0.812 x 10° J. Step 2 The rate P at which the heating element converts electrical potential energy into the internal energy of the water is P = (AV)I = A J/s. =arrow_forwardThe copper windings of a motor have a resistance of 46 Ω at 20oC when the motor is idle. After the motor has run for several hours, the resistance rises to 59 Ω. What is the temperature in Celsius of the windings now? Ignore changes in the dimensions of the windings. The temperature coefficient of resistivity for copper is 4.3 × 10-3 K-1.arrow_forward1. A beam of protons is moving toward a target in a particle accelerator. This beam constitutes a current whose value is 0.50 μA. (a) How many protons strike the target in 15 s? (b) Each proton has a kinetic energy of 4.9×10^–12 J. Suppose the target is a 15-gram block of aluminum, and all the kinetic energy of the protons goes into heating it up. What is the change in temperature of the block that results from the 15-s bombardment of protons?arrow_forward
- The heating element of a coffeemaker operates at 120 V and carries a current of 7.70 A. Assuming the water absorbs all of the energy converted by the resistor, calculate how long it takes to heat 0.252 kg of water from room temperature (23.0°C) to the boiling point. Step 1 The energy required to raise the temperature of an amount of water of mass m, from T; = 23.0°C to the boiling point, T = 100°C, is Q = m„C„(AT), where the specific heat of water c = 4186 J/kg · °C. We have Q = mwCw(AT) = mwCw(T – T;) 0.252 0.252 kg 4186 J/kg · °C 77 7기 °C = 0.81225 x 105 J. 0.812 Step 2 The rate P at which the heating element converts electrical potential energy into the internal energy of the water is P = (AV)I = (|120 120 V v7.7 7.7 A = 924 924 J/s. Step 3 Thus, the time At required to bring the water to a boil is 105 J) At = J/s 1 min min. 60.0 s.arrow_forwardThe heating element of a coffeemaker operates at 120 V and carries a current of 2.50 A. Assuming the water absorbs all of the energy converted by the resistor, calculate how long it takes to heat 0.740 kg of water from room temperature (23.0°C) to the boiling point. minarrow_forwardA toaster has a Nichrome (a=4.5×10-4 °C-l) heating element that has a resistance of Ro= 80 Q at a temperature T=20 °C. When the toaster is turned on, the resistance of the element rises to 89.3 Q and its temperature is increased. Find the final temperature (in °C) of the heating element.arrow_forward
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