Fundamentals of Physics Extended
10th Edition
ISBN: 9781118230725
Author: David Halliday, Robert Resnick, Jearl Walker
Publisher: Wiley, John & Sons, Incorporated
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Chapter 22, Problem 27P
GO In Fig, 22-51, two curved plastic rods, one of charge +q and the other of charge −q, form a circle of radius R = 8.50 cm in an xy plane. The x axis passes through both of the connecting points, and the charge is distributed uniformly on both rods. If q = 15.0 pC, what are the (a) magnitude and (b) direction (relative to the positive direction of the x axis) of the electric field
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Learning Goal:
To understand the meaning and the basic applications of
pV diagrams for an ideal gas.
As you know, the parameters of an ideal gas are
described by the equation
pV = nRT,
where p is the pressure of the gas, V is the volume of
the gas, n is the number of moles, R is the universal gas
constant, and T is the absolute temperature of the gas. It
follows that, for a portion of an ideal gas,
pV
= constant.
T
One can see that, if the amount of gas remains constant,
it is impossible to change just one parameter of the gas:
At least one more parameter would also change. For
instance, if the pressure of the gas is changed, we can
be sure that either the volume or the temperature of the
gas (or, maybe, both!) would also change.
To explore these changes, it is often convenient to draw a
graph showing one parameter as a function of the other.
Although there are many choices of axes, the most
common one is a plot of pressure as a function of
volume: a pV diagram.
In this problem, you…
■ Review | Constants
A cylinder with a movable piston contains 3.75 mol
of N2 gas (assumed to behave like an ideal gas).
Part A
The N2 is heated at constant volume until 1553 J of heat have been added. Calculate the change in
temperature.
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Suppose the same amount of heat is added to the N2, but this time the gas is allowed to expand while
remaining at constant pressure. Calculate the temperature change.
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4. I've assembled the following assortment of point charges (-4 μC, +6 μC, and +3 μC)
into a rectangle, bringing them together from an initial situation where they were all
an infinite distance away from each other. Find the electric potential at point "A"
(marked by the X) and tell me how much work it would require to bring a +10.0 μC
charge to point A if it started an infinite distance away (assume that the other three
charges remains fixed).
300 mm
-4 UC
"A"
0.400 mm
+6 UC
+3 UC
5. It's Friday night, and you've got big party plans. What will you do? Why, make a
capacitor, of course! You use aluminum foil as the plates, and since a standard roll of
aluminum foil is 30.5 cm wide you make the plates of your capacitor each 30.5 cm by
30.5 cm. You separate the plates with regular paper, which has a thickness of 0.125
mm and a dielectric constant of 3.7. What is the capacitance of your capacitor? If
you connect it to a 12 V battery, how much charge is stored on either plate?
=
Chapter 22 Solutions
Fundamentals of Physics Extended
Ch. 22 - Figure 22-22 shows three arrangements of electric...Ch. 22 - Figure 22-23 shows two square arrays of charged...Ch. 22 - In Fig. 22-24, two particles of charge q are...Ch. 22 - Figure 22-25 shows four situations in which four...Ch. 22 - Figure 22-26 shows two charged particles fixed in...Ch. 22 - In Fig. 22-27, two identical circular...Ch. 22 - The potential energies associated with four...Ch. 22 - a In Checkpoint 4, if the dipole rotates from...Ch. 22 - Figure 22-28 shows two disks and a flat ring, each...Ch. 22 - In Fig. 22-29, an electron e travels through a...
Ch. 22 - In Fig. 22-30a, a circular plastic rod with...Ch. 22 - When three electric dipoles ire near each other,...Ch. 22 - Figure 22-32 shows three rods, each with the same...Ch. 22 - Figure 22-33 shows five protons that are launched...Ch. 22 - Sketch qualitatively the electric field lines both...Ch. 22 - In Fig. 22-34 the electric field lines on the left...Ch. 22 - SSM The nucleus of a plutonium-239 atom contains...Ch. 22 - Two charged particles are attached to an x axis:...Ch. 22 - SSM A charged particle produces an electric Held...Ch. 22 - What is the magnitude of a point charge that would...Ch. 22 - SSM ILW WWW In Fig. 22-35, the four particles form...Ch. 22 - GO In Fig. 22-36, the four particles are fixed in...Ch. 22 - GO Figure 22-37 shows two charged particles on an...Ch. 22 - GO Figure 22-38a shows two charged particles fixed...Ch. 22 - SSM Two charged particles are fixed to x axis:...Ch. 22 - GO Figure 22-39 shows an uneven arrangement of...Ch. 22 - GO Figure 22-40 shows a proton on the central...Ch. 22 - In Fig. 22-41, particle 1 of charge q1 = 5.00q and...Ch. 22 - In Fig. 22-42, the three particles are fixed in...Ch. 22 - Figure 22-43 shows a plastic ring of radius R =...Ch. 22 - Two charged beads are on the plastic ring in Fig....Ch. 22 - The electric field of an electric dipole along the...Ch. 22 - Figure 22-45 shows an electric dipole. What are...Ch. 22 - Equations 22-8 and 22-9 are approximations of the...Ch. 22 - SSM Electric quadrupole. Figure 22-46 shows a...Ch. 22 - Density, density, density. a A charge 300e is...Ch. 22 - Figure 22-47 shows two parallel nonconducting...Ch. 22 - A thin nonconducting rod with a uniform...Ch. 22 - Figure 22-49 shows three circular arcs centered on...Ch. 22 - GO ILW In Fig. 22-50, a thin glass rod forms a...Ch. 22 - GO In Fig, 22-51, two curved plastic rods, one of...Ch. 22 - Charge is uniformly distributed around a ring of...Ch. 22 - GO Figure 22-52a shows a nonconducting rod with a...Ch. 22 - GO Figure 22-53 shows two concentric rings, of...Ch. 22 - SSM ILW WWW In Fig. 22-54, a nonconducting rod of...Ch. 22 - GO In Fig. 22-55, positive charge q = 7.81 pC is...Ch. 22 - GO In Fig. 22-56, a semi-infinite nonconducting...Ch. 22 - A disk of radius 2.5 cm has a surface charge...Ch. 22 - SSM WWW At what distance along the central...Ch. 22 - A circular plastic disk with radius R = 2.00 cm...Ch. 22 - Suppose you design an apparatus in which a...Ch. 22 - Figure 22-58a shows a circular disk that is...Ch. 22 - In Millikans experiment, an oil drop of radius...Ch. 22 - GO An electron with a speed of 5.00 108 cm/s...Ch. 22 - SSM A charged cloud system produces an electric...Ch. 22 - Humid air breaks down its molecules become ionized...Ch. 22 - SSM An electron is released from rest in a uniform...Ch. 22 - An alpha particle the nucleus of a helium atom has...Ch. 22 - ILW An electron on the axis of an electric dipole...Ch. 22 - An electron is accelerated eastward at 1.80 ...Ch. 22 - SSM Beams of high-speed protons can be produced in...Ch. 22 - In Fig. 22-59, an electron e is to be released...Ch. 22 - A 10.0 g block with a charge of 8.00 10-5 C is...Ch. 22 - At some instant the velocity components of an...Ch. 22 - Assume that a honeybee is a sphere of diameter...Ch. 22 - An electron eaters a region of uniform electric...Ch. 22 - GO Two large parallel copper plates are 5.0 cm...Ch. 22 - GO In Fig. 22-61, an electron is shot at an...Ch. 22 - ILW A uniform electric field exists in a region...Ch. 22 - An electric dipole consists of charges 2e and -2e...Ch. 22 - SSM An electric dipole consisting of charges of...Ch. 22 - A certain electric dipole is placed in a uniform...Ch. 22 - How much work is required to turn an electric...Ch. 22 - A certain electric dipole is placed in a uniform...Ch. 22 - Find an expression for the oscillation frequency...Ch. 22 - a What is the magnitude of an electrons...Ch. 22 - A spherical water drop 1.20 m in diameter is...Ch. 22 - Three particles, each with positive charge Q, form...Ch. 22 - In Fig. 22-64a, a particle of charge Q produces an...Ch. 22 - A proton and an electron form two comers of an...Ch. 22 - A charge uniform linear density = 9.0 nC/m lies on...Ch. 22 - In Fig. 22-65, eight particles form a square in...Ch. 22 - Two particles, each with a charge of magnitude 12...Ch. 22 - The following table gives the charge seen by...Ch. 22 - A charge of 20 nC is uniformly distributed along a...Ch. 22 - An electron is constrained to the central axis of...Ch. 22 - SSM The electric field in an xy plane produced by...Ch. 22 - a What total excess charge q must the disk in Fig....Ch. 22 - In Fig. 22-66, particle 1 of charge 1.00 C,...Ch. 22 - In Fig. 22-67, an electric dipole swings from an...Ch. 22 - A particle of charge q1 is at the origin of an x...Ch. 22 - Two particles, each of positive charge q, are...Ch. 22 - A clock face has negative point charges q, 2q,...Ch. 22 - Calculate the electric dipole moment of an...Ch. 22 - An electric field E with an average magnitude of...Ch. 22 - A circular rod has a radius of curvature R = 9.00...Ch. 22 - SSM An electric dipole with dipole moment p= 3.00 ...Ch. 22 - In Fig. 22-68, a uniform, upward electric field E...Ch. 22 - For the data of Problem 70, assume that the charge...Ch. 22 - In Fig. 22-66, particle 1 of charge 2.00 pC,...Ch. 22 - In Fig. 22-69, particle 1 of charge q1 = 1.00pC...
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- Learning Goal: To understand the meaning and the basic applications of pV diagrams for an ideal gas. As you know, the parameters of an ideal gas are described by the equation pV = nRT, where p is the pressure of the gas, V is the volume of the gas, n is the number of moles, R is the universal gas constant, and T is the absolute temperature of the gas. It follows that, for a portion of an ideal gas, PV T = constant. One can see that, if the amount of gas remains constant, it is impossible to change just one parameter of the gas: At least one more parameter would also change. For instance, if the pressure of the gas is changed, we can be sure that either the volume or the temperature of the gas (or, maybe, both!) would also change. To explore these changes, it is often convenient to draw a graph showing one parameter as a function of the other. Although there are many choices of axes, the most common one is a plot of pressure as a function of volume: a pV diagram. In this problem, you…arrow_forwardA-e pleasearrow_forwardTwo moles of carbon monoxide (CO) start at a pressure of 1.4 atm and a volume of 35 liters. The gas is then compressed adiabatically to 1/3 this volume. Assume that the gas may be treated as ideal. Part A What is the change in the internal energy of the gas? Express your answer using two significant figures. ΕΠΙ ΑΣΦ AU = Submit Request Answer Part B Does the internal energy increase or decrease? internal energy increases internal energy decreases Submit Request Answer Part C ? J Does the temperature of the gas increase or decrease during this process? temperature of the gas increases temperature of the gas decreases Submit Request Answerarrow_forward
- Your answer is partially correct. Two small objects, A and B, are fixed in place and separated by 2.98 cm in a vacuum. Object A has a charge of +0.776 μC, and object B has a charge of -0.776 μC. How many electrons must be removed from A and put onto B to make the electrostatic force that acts on each object an attractive force whose magnitude is 12.4 N? e (mea is the es a co le E o ussian Number Tevtheel ed Media ! Units No units → answe Tr2Earrow_forward4 Problem 4) A particle is being pushed up a smooth slot by a rod. At the instant when 0 = rad, the angular speed of the arm is ė = 1 rad/sec, and the angular acceleration is = 2 rad/sec². What is the net force acting on the 1 kg particle at this instant? Express your answer as a vector in cylindrical coordinates. Hint: You can express the radial coordinate as a function of the angle by observing a right triangle. (20 pts) Ꮎ 2 m Figure 3: Particle pushed by rod along vertical path.arrow_forward4 Problem 4) A particle is being pushed up a smooth slot by a rod. At the instant when 0 = rad, the angular speed of the arm is ė = 1 rad/sec, and the angular acceleration is = 2 rad/sec². What is the net force acting on the 1 kg particle at this instant? Express your answer as a vector in cylindrical coordinates. Hint: You can express the radial coordinate as a function of the angle by observing a right triangle. (20 pts) Ꮎ 2 m Figure 3: Particle pushed by rod along vertical path.arrow_forward
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