Physics: Principles with Applications
7th Edition
ISBN: 9780321625922
Author: Douglas C. Giancoli
Publisher: Addison-Wesley
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 18, Problem 86GP
If a wire of resistance R is stretched uniformly so that its length doubles, by what factor does the power dissipated in the wire change, assuming it remains hooked up to the same voltage source? Assume the wire's volume and density remain constant.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Look at a circuit
made up of a
resistor, a battery, a
capacitor, and a
switch. Take the time
constant of the circuit
to be 3.12 seconds.
So if the resistor has
a current of 420 mA
and a voltage of 12.0
V when the switch is
closed, calculate the
capacitance of the
capacitor.
In a circuit, all the power delivered by the battery must be dissipated by the elements to the circuit. This is
simply a statement of the conservation of energy. How much energy dissipated depends on the resistance of
the element and the voltage across the resistor, or the current through it. The relevant equations for the
problems are as follows. For a circuit element, the power dissipated (or generated) is P = IV, where Vand I are
the voltage across and current through a circuit element. We know that a resistor obeys OhmA ¢A^A^'s Law
V=IR, which means that for a resistor, the power dissipated is P = I*R = V²/R.
Consider the following two circuits with identical batteries and re-
sistors.
А
В
C
R
R
R RS
R
If the power dissipated by the resistor in circuit A is P, what is the
power dissipated by one resistor in circuit B?
If the power dissipated by the resistor in circuit A is P, what is the
power dissipated by one resistor in circuit C?
A 12.0-V emf automobile battery has a terminal voltage of 16.0 V when being charged by a current of 10.0 A. (a) What is the battery’s internal resistance? (b) What power is dissipated inside the battery? (c) At what rate (in °C/min ) will its temperature increase if its mass is 20.0 kg and it has a specific heat of 0.300 kcal/kg · °C , assuming no heat escapes?
Chapter 18 Solutions
Physics: Principles with Applications
Ch. 18 - Prob. 1OQCh. 18 - When an electric cell is connected to a circuit,...Ch. 18 - When a flashlight is operated, what is being used...Ch. 18 - Prob. 3QCh. 18 - Prob. 4QCh. 18 - Prob. 5QCh. 18 - Prob. 6QCh. 18 - What happens when aIightbulb burns out?Ch. 18 - Prob. 8QCh. 18 - Prob. 9Q
Ch. 18 - Prob. 10QCh. 18 - Prob. 11QCh. 18 - Prob. 12QCh. 18 - Prob. 13QCh. 18 - When electric lights are operated on low-frequency...Ch. 18 - Prob. 15QCh. 18 - Prob. 16QCh. 18 - Prob. 17QCh. 18 - Prob. 18QCh. 18 - Prob. 19QCh. 18 - Prob. 20QCh. 18 - Prob. 1MCQCh. 18 - Prob. 2MCQCh. 18 - Prob. 3MCQCh. 18 - Prob. 4MCQCh. 18 - Prob. 5MCQCh. 18 - Prob. 6MCQCh. 18 - Prob. 7MCQCh. 18 - Prob. 8MCQCh. 18 - Prob. 9MCQCh. 18 - Prob. 10MCQCh. 18 - Prob. 11MCQCh. 18 - A current of 1.60 A flows in a wire. How many...Ch. 18 - A service station charges a battery using a...Ch. 18 - Prob. 3PCh. 18 - What is the resistance of a toaster if 120 V...Ch. 18 - Prob. 5PCh. 18 - Prob. 6PCh. 18 - (a) What is the current in the element of an...Ch. 18 - Prob. 8PCh. 18 - Prob. 9PCh. 18 - A 4.5-V battery is connected to a bulb whose...Ch. 18 - Prob. 11PCh. 18 - What is the diameter of a 1.00-m length of...Ch. 18 - What is the resistance of a 5.4-m length of copper...Ch. 18 - Prob. 14PCh. 18 - Prob. 15PCh. 18 - A certain copper wire has a resistance of 15.0 ....Ch. 18 - Compute the voltage drop along a 21-m length of...Ch. 18 - Two aluminum wires have the same resistance. If...Ch. 18 - Prob. 19PCh. 18 - Prob. 20PCh. 18 - Prob. 21PCh. 18 - Prob. 22PCh. 18 - Prob. 23PCh. 18 - Prob. 24PCh. 18 - Prob. 25PCh. 18 - A 10.0-m length of wire consists of 5.0 m of...Ch. 18 - What is the maximum power consumption of a 3.0-V...Ch. 18 - The heating element of an electric oven is...Ch. 18 - What is the maximum voltage that can be applied...Ch. 18 - Prob. 30PCh. 18 - Prob. 31PCh. 18 - Prob. 32PCh. 18 - A 120-V hair dryer has two settings: 950 W and...Ch. 18 - Prob. 34PCh. 18 - Prob. 35PCh. 18 - Prob. 36PCh. 18 - Prob. 37PCh. 18 - Prob. 38PCh. 18 - Prob. 39PCh. 18 - Prob. 40PCh. 18 - Prob. 41PCh. 18 - Prob. 42PCh. 18 - Prob. 43PCh. 18 - Prob. 44PCh. 18 - Prob. 45PCh. 18 - The current in an electromagnet connected to a...Ch. 18 - Prob. 47PCh. 18 - Prob. 48PCh. 18 - Prob. 49PCh. 18 - Prob. 50PCh. 18 - Prob. 51PCh. 18 - Prob. 52PCh. 18 - Determine (a) the maximum instantaneous power...Ch. 18 - Prob. 54PCh. 18 - Prob. 55PCh. 18 - A 4.80-m length of 2.0-mm-diameter wire carries a...Ch. 18 - Prob. 57PCh. 18 - Prob. 58PCh. 18 - Prob. 59PCh. 18 - Prob. 60PCh. 18 - Prob. 61GPCh. 18 - Prob. 62GPCh. 18 - Prob. 63GPCh. 18 - Prob. 64GPCh. 18 - Prob. 65GPCh. 18 - Prob. 66GPCh. 18 - A small city requires about 15 MW of power Suppose...Ch. 18 - Prob. 68GPCh. 18 - Prob. 69GPCh. 18 - Prob. 70GPCh. 18 - Prob. 71GPCh. 18 - Prob. 72GPCh. 18 - Prob. 73GPCh. 18 - V is applied to two different conductors made of...Ch. 18 - Prob. 75GPCh. 18 - Prob. 76GPCh. 18 - Prob. 77GPCh. 18 - A 15 2-?resistor is made from a coil of copper...Ch. 18 - Prob. 79GPCh. 18 - Prob. 80GPCh. 18 - Prob. 81GPCh. 18 - Prob. 82GPCh. 18 - Prob. 83GPCh. 18 - Prob. 84GPCh. 18 - Prob. 85GPCh. 18 - If a wire of resistance R is stretched uniformly...Ch. 18 - Prob. 87GPCh. 18 - Prob. 88GPCh. 18 - Prob. 89GPCh. 18 - Prob. 90GPCh. 18 - Prob. 91GP
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- The values of the components in a simple series RC circuit containing a switch (Fig. P21.53) are C = 1.00 F, R = 2.00 106 , and = 10.0 V. At the instant 10.0 s after the switch is closed, calculate (a) the charge on the capacitor, (b) the current in the resistor, (c) the rate at which energy is being stored in the capacitor, and (d) the rate at which energy is being delivered by the battery.arrow_forwardPower P0 = I0 V0 is delivered to a resistor of resistance R0. If the resistance is doubled (Rnew = 2R0) while the voltage is adjusted such that the current is constant, what are the ratios (a) Pnew/P0 and (b) Vnew/V0? If, instead, the resistance is held constant while Pnew = 2P0, what are the ratios (c) Vnew/V0, and (d) Inew/I0?arrow_forwardA capacitor with initial charge Q0 is connected across a resistor R at time t = 0. The separation between the plates of the capacitor changes as d = d0/(1 + t) for 0 t 1 s. Find an expression for the voltage drop across the capacitor as a function of time.arrow_forward
- If the terminals of a battery with zero internal resistance are connected across two identical resistors in series, the total power delivered by the battery is 8.00 W. If the same battery is connected across the same resistors in parallel, what is the total power delivered by the battery? (a) 16.0 W (b) 32.0 W (c) 2.00 W (d) 4.00 W (e) none of those answersarrow_forwardExplain why R=R0(1 + a?T) for the temperature variation of the resistance R of an object is not as accurate as P=P0(1 + a?T) which gives the temperature variation of resistivity P.arrow_forwardThe power dissipated in a resistor is given by P = V2/R, which means power decreases if resistance increases. Yet this power is also given by P = I2R, which means power increases if resistance increases. Explain why there is no contradiction here.arrow_forward
- A 12.0-V emf automobile battery has a terminal voltage of 16.0 V when being charged by a current of 10.0 A. (a) What is the battery’s internal resistance? (b) What power is dissipated inside the battery? (c) At what rate (in °C/min ) will its temperature increase if its mass is 20.0 kg and it has a specific heat of 0.300 kcal/kg • °C, assuming no heat escapes?arrow_forwardIn the figure shown, the total resistance is 15.0 kΩ and the fem of the battery is 24.0 V.the time constant is measured at 24.0 µs calculate a) the total capacitance of the circuit and b) the time it takes the voltage through the resistor to reach 16.0 V after the switch is closed.arrow_forwardIn the figure, the total resistance is 16.0 kΩ , and the battery's emf is 28.0 V . The time constant is measured to be 12.0 μs (a) Calculate the total capacitance of the circuit. (b) Calculate the time it takes for the voltage across the resistor to reach 17.0 VV after the switch is closed.arrow_forward
- . An RC circuit with a 54.0 V power source is connected to a fluorescent lamp as shown in the ngure. The lamp L turns on when the voltage across the capacitor reaches 45.0V, which happens after 0.65 seconds after the switch is closed. If R = the capacitance C? (b) If we must switch the lamps 3 times in a second, what should be the value of capacitance? (c) What is the charge on the capacitor when the lamp just flashes in 3MQ, (a) what is the value of both the cases? ww R 54.0Varrow_forwardLet the voltage output of the battery and resistances in the parallel connection in Figure be the same as the previously considered series connection: V = 12.0 V , R1 = 1.00 Ω , R2 = 6.00 Ω , and R3 = 13.0 Ω . Calculate the power dissipated by each resistor.arrow_forwardA power adapter for a laptop computer is rated at P = 73 W (meaning this is the highest power it can handle before the circuits start to fail). The voltage of the battery is represented as ΔV. (a) If the laptop is used at a potential difference of 12 V what is the maximum current it can draw in terms of P? (b) What is the minimum internal resistance of the laptop in Ω? (c) How much energy in joules does the laptop consume in one hour at maximum?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
College PhysicsPhysicsISBN:9781938168000Author:Paul Peter Urone, Roger HinrichsPublisher:OpenStax College
College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
College PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
College Physics
Physics
ISBN:9781938168000
Author:Paul Peter Urone, Roger Hinrichs
Publisher:OpenStax College
College Physics
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
College Physics
Physics
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
DC Series circuits explained - The basics working principle; Author: The Engineering Mindset;https://www.youtube.com/watch?v=VV6tZ3Aqfuc;License: Standard YouTube License, CC-BY