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Essential University Physics (3rd Edition)
3rd Edition
ISBN: 9780134202709
Author: Richard Wolfson
Publisher: PEARSON
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Textbook Question
Chapter 22, Problem 13FTD
Two equal hut opposite charges form a dipole. Describe the equipotential surface on which V = 0.
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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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Part B
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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
Essential University Physics (3rd Edition)
Ch. 22.1 - What would happen to the potential difference Vab...Ch. 22.1 - (1) A proton (charge e), (2) an alpha particle...Ch. 22.1 - The figure shows three straight paths AB of the...Ch. 22.2 - You measure a potential difference of 50 V between...Ch. 22.2 - The figure shows three paths from infinity to a...Ch. 22.3 - The figure shows cross sections through two...Ch. 22 - Why can a bird perch on a high-voltage power line...Ch. 22 - One proton is accelerated from rest by a uniform...Ch. 22 - Would a free electron move toward higher or lower...Ch. 22 - The electric Field at the center of a uniformly...
Ch. 22 - Must the potential be zero at any point where the...Ch. 22 - Must the electric field he zero at any point where...Ch. 22 - The potential is constant throughout an entire...Ch. 22 - In considering the potential of an infinite flat...Ch. 22 - Cherry picker trucks for working on power lines...Ch. 22 - Can equipotential surfaces intersect? Explain.Ch. 22 - Is the potential at the center of a hollow,...Ch. 22 - A solid sphere contains positive charge uniformly...Ch. 22 - Two equal hut opposite charges form a dipole....Ch. 22 - The electric potential in a region increases...Ch. 22 - How much work does it take to move a 50-C charge...Ch. 22 - The potential difference between the two sides of...Ch. 22 - It takes 45 J to move a 15-mC charge from point A...Ch. 22 - Show that 1 V/m is the same as 1 N/C.Ch. 22 - Find the magnitude of the potential difference...Ch. 22 - A charge of 3.1 C moves from the positive to the...Ch. 22 - A proton, an alpha particle (a bare helium...Ch. 22 - The potential difference across a typical cell...Ch. 22 - An electric field is given by E= E0, where E0 is a...Ch. 22 - The classical picture of the hydrogen atom has the...Ch. 22 - The potential at the surface of a 10-cm-radius...Ch. 22 - Youre developing a switch for high-voltage power...Ch. 22 - A 3.5-cm-diameter isolated metal sphere carries...Ch. 22 - In a uniform electric field, equipotential planes...Ch. 22 - Figure 22.22 shows a plot of potential versus...Ch. 22 - figure 22.23 shows some equipotentials in the x-y...Ch. 22 - The electric potential in a region is given by V =...Ch. 22 - Dielectric breakdown of air occurs at fields of 3...Ch. 22 - Youre an automotive engineer working on the...Ch. 22 - A large metal sphere has three times the diameter...Ch. 22 - Two points A and B lie 15 cm apart in a uniform...Ch. 22 - The electric field within a cell membrane is...Ch. 22 - Whats the potential difference between the...Ch. 22 - Whats the charge on an ion that gains 1.61015 J...Ch. 22 - Two Hat metal plates are a distance d apart, where...Ch. 22 - An electron passes point A moving at 6.5 Mm/s. At...Ch. 22 - A 5.0-g object carries 3.8 C. It acquires speed v...Ch. 22 - Points A and B lie 32.0 cm apart on a line...Ch. 22 - A sphere of radius R carries negative charge of...Ch. 22 - Proton-beam therapy can be preferable to X rays...Ch. 22 - A thin spherical shell has radius R and total...Ch. 22 - A solid sphere of radius R carries charge Q...Ch. 22 - Find the potential as a function of position in...Ch. 22 - Your radio station needs a new coaxial cable to...Ch. 22 - The potential difference between the surface of a...Ch. 22 - Three equal charges q form an equilateral triangle...Ch. 22 - A charge +Q lies at the origin and 3Q at x = a....Ch. 22 - Two identical charges q lie on the x-axis at a....Ch. 22 - A dipole of moment p = 2.9 nC m consists of two...Ch. 22 - A thin plastic rod 20 cm long carries 3.2 nC...Ch. 22 - A thin ring of radius R carries charge 3Q...Ch. 22 - The potential at the center of a uniformly charged...Ch. 22 - The annulus shown in Fig. 22.25 carries a uniform...Ch. 22 - The potential in a region is given by V = axy,...Ch. 22 - Use Equation 22.6 to calculate the electric field...Ch. 22 - Use the result of Example 22.6 to determine the...Ch. 22 - The electric potential in a region is given by V =...Ch. 22 - Two metal spheres each 1.0 cm in radius are far...Ch. 22 - Two 5.0-cm-diameter conducting spheres are 8.0 m...Ch. 22 - A 2.0-cm-radius metal sphere carries 75 nC and is...Ch. 22 - A sphere of radius R carries a nonuniform but...Ch. 22 - The potential as a function of position in a...Ch. 22 - A conducting sphere 5.0 cm in radius carries 60...Ch. 22 - INTERPRET Ibis problem deals with the electric...Ch. 22 - The potential on the axis of a uniformly charged...Ch. 22 - A uranium nucleus (mass 238 u, charge 92e) decays,...Ch. 22 - The Taser, an ostensibly nonlethal weapon used by...Ch. 22 - Using the dipole potential at points far from a...Ch. 22 - Measurements of the potential at points on the...Ch. 22 - Find an equation describing the V = 0...Ch. 22 - A thin rod of length L carries charge Q...Ch. 22 - For the rod of the preceding problem, (a) find an...Ch. 22 - A disk of radius a carries nonuniform surface...Ch. 22 - An open ended cylinder of radius a and length 2a...Ch. 22 - A line charge extends along the x-axis from L/2 to...Ch. 22 - Repeat Problem 79 for the charge distribution =...Ch. 22 - Youre sizing a new electric transmission line, and...Ch. 22 - bio Standard electrocardiography measures...Ch. 22 - bio Standard electrocardiography measures...Ch. 22 - bio Standard electrocardiography measures...Ch. 22 - bio Standard electrocardiography measures...
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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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