Physics for Scientists and Engineers with Modern Physics
4th Edition
ISBN: 9780131495081
Author: Douglas C. Giancoli
Publisher: Addison-Wesley
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Textbook Question
Chapter 25, Problem 19Q
Compare the drift velocities and
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A potential difference of 0.8 V is maintained between
the ends of a metal wire of length 1.0 m. The number
density of free electrons in the metal is 8.0 × 1028
per m' and the electrical conductivity of the metal is
6.4 x 10' 2 ml. Find the drift speed of electrons.
Suppose that there is a wire. It is made out of material that has a the following information:
temperature coefficient=0.005/°C cross sectional area: 4.51x10-6 m² length: 1.00 m
fee electron density of 8.49 x 1028 electrons/m³
The wire is at temperature 20°C and it carries a current of 5 A when connected to a 35 V battery.
Find the (1) drift speed of the electrons and (2) resistivity at 50°C.
Calculate the drift velocity (in ×10-6 m/s) of electrons in a silver cylindrical conductor with a diameter of 2.0 cm carrying 5.0 A current, given there is one free electron per silver atom.
ρsilver = 10490 kg/m3
atomic mass of silver = 107.9 g/mol
Avogadro's number = 6.02×1023 atoms/mol
Chapter 25 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 25.2 - If 1 million electrons per second pass a point in...Ch. 25.3 - Prob. 1BECh. 25.4 - Return to the Chapter-Opening Question, page 651,...Ch. 25.4 - Prob. 1DECh. 25.4 - Prob. 1EECh. 25.4 - Prob. 1FECh. 25.6 - How many 60-W 120-V lightbulbs can operate on a...Ch. 25.7 - Each channel of a stereo receiver is capable of an...Ch. 25 - What quantity is measured by a battery rating...Ch. 25 - When an electric cell is connected to a circuit,...
Ch. 25 - When a flashlight is operated, what is being used...Ch. 25 - One terminal of a car battery is said to be...Ch. 25 - When you turn on a water faucet, the water usually...Ch. 25 - Can a copper wire and an aluminum wire of the same...Ch. 25 - The equation P = V2/R indicates that the power...Ch. 25 - What happens when a lightbulb burns out?Ch. 25 - If the resistance of a small immersion heater (to...Ch. 25 - Prob. 10QCh. 25 - Explain why lightbulbs almost always burn out just...Ch. 25 - Which draws more current, a 100-W lightbulb or a...Ch. 25 - Electric power is transferred over large distances...Ch. 25 - A 15-A fuse blows repeatedly. Why is it dangerous...Ch. 25 - When electric lights are operated on low-frequency...Ch. 25 - Driven by ac power, the same electrons pass back...Ch. 25 - The heating element in a toaster is made of...Ch. 25 - Is current used up in a resistor? Explain.Ch. 25 - Compare the drift velocities and electric currents...Ch. 25 - A voltage V is connected across a wire of length l...Ch. 25 - Why is it more dangerous to turn on an electric...Ch. 25 - ( A current of 1.30 A flows in a wire. How many...Ch. 25 - (I) A service station charges a battery using a...Ch. 25 - (I) What is the current in amperes if 1200 Na+...Ch. 25 - (I) What is the resistance of a toaster if 120V...Ch. 25 - (II) An electric clothes dryer has a heating...Ch. 25 - (II) A hair dryer draws 9.5 A when plugged into a...Ch. 25 - (II) A 4.5-V battery is connected to a bulb whose...Ch. 25 - (II) A bird stands on a dc electric transmission...Ch. 25 - (II) A 12-V battery causes a current of 0.60 A...Ch. 25 - (II) An electric device draws 6.50 A at 240 V. (a)...Ch. 25 - (I) What is the diameter of a 1.00-m length of...Ch. 25 - (I) What is the resistance of a 4.5-m length of...Ch. 25 - (II) Calculate the ratio of the resistance of 10.0...Ch. 25 - (II) Can a 2.2-mm-diameter copper wire have the...Ch. 25 - (II) A sequence of potential differences V is...Ch. 25 - (II) How much would you have 10 raise the...Ch. 25 - (II) A certain copper wire has a resistance of...Ch. 25 - (II) Determine at what temperature aluminum will...Ch. 25 - (II) A 100-W lightbulb has a resistance of about...Ch. 25 - (II) Compute the voltage drop along a 26-m length...Ch. 25 - (II) Two aluminum wires have the same resistance....Ch. 25 - (II) A rectangular solid made of carbon has sides...Ch. 25 - (II) A length of aluminum wire is connected to a...Ch. 25 - (II) Small changes in the length of an object can...Ch. 25 - (II) A length of wire is cut in half and the two...Ch. 25 - (III) For some applications, it is important that...Ch. 25 - (III) Determine a formula for the total resistance...Ch. 25 - (III) The filament of a lightbulb has a resistance...Ch. 25 - (III) A 10.0-m length of wire consists of 5.0 m of...Ch. 25 - (III) A hollow cylindrical resistor with inner...Ch. 25 - (I) What is the maximum power consumption of a...Ch. 25 - (I) The heating element of an electric oven is...Ch. 25 - (I) What is the maximum voltage that can be...Ch. 25 - (I) (a) Determine the resistance of, and current...Ch. 25 - (II) An electric power plant can produce...Ch. 25 - (II) A 120-V hair dryer has two settings: 850 W...Ch. 25 - (II) A 115-V fish-tank heater is rated at 95W....Ch. 25 - (II) You buy a 75-W lightbulb in Europe, where...Ch. 25 - (II) How many kWh of energy does a 550-W toaster...Ch. 25 - (II) At 0.095/kWh, what does it cost to leave a...Ch. 25 - (II) What is the total amount of energy stored in...Ch. 25 - (II) An ordinary flashlight uses two D-cell 1.5-V...Ch. 25 - (II) How many 75-W lightbulbs, connected to 120V...Ch. 25 - (II) An extension cord made of two wires of...Ch. 25 - (II) A power station delivers 750kW of power at...Ch. 25 - (III) A small immersion heater can be used in a...Ch. 25 - (III) The current in an electromagnet connected to...Ch. 25 - (III) A 1.0-m-long round tungsten wire is to reach...Ch. 25 - (I) Calculate the peak current in a 2.7-k resistor...Ch. 25 - (I) An ac voltage, whose peak value is 180 V, is...Ch. 25 - (II) Estimate the resistance of the 120-Vrms...Ch. 25 - (II) The peak value of an alternating current in a...Ch. 25 - (II) An 1800-W are welder is connected to a...Ch. 25 - (II) (a) What is the maximum instantaneous power...Ch. 25 - (II) A heater coil connected to a 240-Vrrms ac...Ch. 25 - (II) For a time-dependent voltage V(t), which is...Ch. 25 - Prob. 57PCh. 25 - (II) A 5.80-m length of 2.0-mm-diameter wire...Ch. 25 - (II) At a point high in the Earths atmosphere....Ch. 25 - (I) What is the magnitude of the electric field...Ch. 25 - (II) A neuron is stimulated with an electric...Ch. 25 - (III) During an action potential, Na+ ions move...Ch. 25 - A person accidentally leaves a car with the lights...Ch. 25 - How many coulombs are there in 1.00 ampere-hour?Ch. 25 - You want to design a portable electric blanket...Ch. 25 - What is the average current drawn by a 1.0-hp...Ch. 25 - Prob. 67GPCh. 25 - The heating element of a 110-V, 1500-W heater is...Ch. 25 - (a) A particular household uses a 1.8-kW healer...Ch. 25 - A small city requires about 15 MW of power....Ch. 25 - A 1400-W hair dryer is designed for 117 V. (a)...Ch. 25 - The wiring in a house must be thick enough so it...Ch. 25 - Prob. 73GPCh. 25 - Suppose a current is given by the equation I =...Ch. 25 - A microwave oven running at 65% efficiency...Ch. 25 - Prob. 76GPCh. 25 - 220 V is applied to two different conductors made...Ch. 25 - An electric heater is used to heat a room of...Ch. 25 - A 2800-W oven is connected to a 240-V source, (a)...Ch. 25 - A proposed electric vehicle makes use of storage...Ch. 25 - A 12.5- resistor is made from a coil of copper...Ch. 25 - A fish-tank heater is rated at 95 W when connected...Ch. 25 - A 100-W, 120-V lightbulb has a resistance of 12 ...Ch. 25 - In an automobile, the system voltage varies from...Ch. 25 - The Tevatron accelerator at Fermilab (Illinois) is...Ch. 25 - Lightbulb A is rated at 120 V and 40 W for...Ch. 25 - An air conditioner draws 14 A at 220-V ac. The...Ch. 25 - Copper wire of diameter 0.259 cm is used to...Ch. 25 - Battery-powered electricity is very expensive...Ch. 25 - How far does an average electron move along the...Ch. 25 - A copper pipe has an inside diameter of 3.00 cm...Ch. 25 - For the wire in Fig. 2539, whose diameter varies...Ch. 25 - The cross section of a portion of wire increases...Ch. 25 - Prob. 94GPCh. 25 - The level of liquid helium (temperature 4 K) in...Ch. 25 - (II) The resistance, R, of a particular thermistor...
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- Consider a power plant is located 60 km away from a residential area uses Q-gauge (A=42.40mm2) wire ofcopper to transmit power at a current of I = 100.00 A.How much more power is dissipated in the copper wires than it would be in superconducting wires?arrow_forwardTwo conducting wires A and B of the same length and radius are connected across the same potential difference. Conductor A has twice the resistivity of conductor B. What is the ratio of the power delivered to A to the power delivered to B? (a) 2 (b) 2 (c) 1 (d) 12 (e)12arrow_forwardResistors are commonly rated at 18W,14W,12W ,1 W and 2 W for use in electrical circuits. If a current of1 = 2.00 A is accidentally passed through a R=1.00 resistor rated at 1 W, what would be the most probable outcome? Is there anything that can be done to prevent such an accident?arrow_forward
- If the current carried by a conductor is doubled, what happens to (a) the charge carrier density, (b) the current density, (c) the electron drift velocity, and (d) the average time interval between collisions?arrow_forwardWhile taking photographs in Death Valley on a day when the temperature is 58.0C, Bill Hiker finds that a certain voltage applied to a copper wire produces a current of 1.000 A. Bill then travels to Antarctica and applies the same voltage to the same wire. What current does he register there if the temperature is 88.0C? Assume that no change occurs in the wires shape and size.arrow_forwardWhen the potential difference across a certain conductor is doubled, the current is observed to increase by a factor of 3. What can you conclude about the conductor?arrow_forward
- Check Your Understanding Copper wires use routinely used for extension cords and house wiring for several reasons. Copper has the highest electrical conductivity rating, and therefore the lowest resistivity rating, of all nonprecious metals. Also important is the tensile strength, where the tensile strength is a measure of the force required to pull an object to the point where it breaks. The tensile strength of a material is the maximumamount of tensile stress it can take before breaking. Copper has a high tensile strength, 2108Nm2 A thirdimportant characteristic is ductility. Ductility is a measure of a material’s ability to be drawn into wires and a measure of the flexibility of the material, and copper has a high ductility. Summarizing, for a conductor to be a suitable candidate for making wire, there are at least three important characteristics: low resistivity, high tensile strength, and high ductility. What other materials are used for wiring and what are the advantages and disadvantages?arrow_forwardSuppose that there is a wire. It is made out of material that has a the following information: temperature coefficient = 0.005/°C cross sectional area = 4.51x10-6 m² length: 1.00 m free electron density = 8.49 x 1028 electrons/m³ The wire is at temperature 20°C and it carries a current of 5 A when connected to a 35 V battery. Find the (1) drift speed of the electrons and (2) resistivity at 50°C.arrow_forwardCalculate the drift velocity (in x1o-6 m/s) of electrons in a silver cylindrical conductor with a diameter of 2.0 cm carrying 5.0 A current, given there is one free electron per silver atom. Psilver = 10490 kg/m3 atomic mass of silver = 107.9 g/mol Avogadro's number = 6.02x1023 atoms/molarrow_forward
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