University Physics with Modern Physics (14th Edition)
14th Edition
ISBN: 9780321973610
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
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Chapter 23, Problem 23.37E
Two large, parallel, metal plates carry opposite charges of equal magnitude. They are separated by 45.0 mm, and the potential difference between them is 360 V. (a) What is the magnitude of the electric field (assumed to be uniform) in the region between the plates? (b) What is the magnitude of the force this field exerts on a particle with charge +2.40 nC? (c) Use the results of part (b) to compute the work done by the field on the particle as it moves from the higher-potential plate to the lower, (d) Compare the result of part (c) to the change of potential energy of the same charge, computed from the electric potential.
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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.
Τ
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…
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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Chapter 23 Solutions
University Physics with Modern Physics (14th Edition)
Ch. 23.1 - Consider the system of three point charges in...Ch. 23.2 - If the electric potential at a certain point is...Ch. 23.3 - If the electric field at a certain point is zero,...Ch. 23.4 - Would the shapes of the equipotential surfaces in...Ch. 23.5 - In a certain region of space the potential is...Ch. 23 - A student asked. Since electrical potential is...Ch. 23 - The potential (relative to a point at infinity)...Ch. 23 - Is it possible to have an arrangement of two point...Ch. 23 - Since potential can have any value you want...Ch. 23 - If E is zero everywhere along a certain path that...
Ch. 23 - If E is zero throughout a certain region of space,...Ch. 23 - Which way do electric field lines point, from high...Ch. 23 - (a) If the potential (relative to infinity) is...Ch. 23 - If you carry out the integral of the electric...Ch. 23 - The potential difference between the two terminals...Ch. 23 - It is easy to produce a potential difference of...Ch. 23 - If the electric potential at a single point is...Ch. 23 - Because electric field lines and equipotential...Ch. 23 - A uniform electric field is directed due east....Ch. 23 - We often say that if point A is at a higher...Ch. 23 - A conducting sphere is to be charged by bringing...Ch. 23 - In electronics it is customary to define the...Ch. 23 - A conducting sphere is placed between two charged...Ch. 23 - A conductor that carries a net charge Q has a...Ch. 23 - A high-voltage dc power line falls on a car, so...Ch. 23 - When a thunderstorm is approaching, sailors at sea...Ch. 23 - A positive point charge is placed near a very...Ch. 23 - A point charge q1 = +2.40 C is held stationary at...Ch. 23 - A point charge q1 is held stationary at the...Ch. 23 - Energy of the Nucleus. How much work is needed to...Ch. 23 - (a) How much work would it take to push two...Ch. 23 - A small metal sphere, carrying a net charge of q1...Ch. 23 - BIO Energy of DNA Base Pairing. (See Exercise...Ch. 23 - Two protons, starting several meters apart, are...Ch. 23 - Three equal 1.20-C point charges are placed at the...Ch. 23 - Two protons are released from rest when they are...Ch. 23 - Four electrons are located at the corners of a...Ch. 23 - Three point charges, which initially are...Ch. 23 - An object with charge q = 6.00 109 C is placed in...Ch. 23 - A small particle has charge 5.00 C and mass 2.00 ...Ch. 23 - A particle with charge +4.20 nC is in a uniform...Ch. 23 - A charge of 28.0 nC is placed in a uniform...Ch. 23 - Two stationary point charges +3.00 nC and +2.00 nC...Ch. 23 - Point charges q1 = + 2.00 C and q2 = 2.00 C are...Ch. 23 - Two point charges of equal magnitude Q are held a...Ch. 23 - Two point charges q1 = +2.40 nC and q2 = 6.50 nC...Ch. 23 - (a) An electron is to be accelerated from 3.00 ...Ch. 23 - A positive charge q is fixed at the point x = 0, y...Ch. 23 - At a certain distance from a point charge, the...Ch. 23 - A uniform electric field has magnitude E and is...Ch. 23 - For each of the following arrangements of two...Ch. 23 - A thin spherical shell with radius R1 = 3.00 cm is...Ch. 23 - A total electric charge of 3.50 nC is distributed...Ch. 23 - A uniformly charged, thin ring has radius 15.0 cm...Ch. 23 - A solid conducting sphere has net positive charge...Ch. 23 - Charge Q = 5.00 C is distributed uniformly over...Ch. 23 - An infinitely long line of charge has linear...Ch. 23 - A very long wire carries a uniform linear charge...Ch. 23 - A very long insulating cylinder of charge of...Ch. 23 - A very long insulating cylindrical shell of radius...Ch. 23 - A ring of diameter 8.00 cm is fixed in place and...Ch. 23 - A very small sphere with positive charge q = +...Ch. 23 - CP Two large, parallel conducting plates carrying...Ch. 23 - Two large, parallel, metal plates carry opposite...Ch. 23 - BIO Electrical Sensitivity of Sharks. Certain...Ch. 23 - The electric field at the surface of a charged,...Ch. 23 - (a) How much excess charge must be placed on a...Ch. 23 - CALC A metal sphere with radius ra is supported on...Ch. 23 - A very large plastic sheet carries a uniform...Ch. 23 - CALC In a certain region of space, the electric...Ch. 23 - CALC In a certain region of space the electric...Ch. 23 - A metal sphere with radius ra = 1.20 cm is...Ch. 23 - CP A point charge q1, = +5.00 C is held fixed in...Ch. 23 - A point charge q1 = 4.00 nC is placed at the...Ch. 23 - A positive point charge q1 = +5.00 104 C is held...Ch. 23 - A gold nucleus has a radius of 7.3 1015 m and a...Ch. 23 - A small sphere with mass 5.00 107 kg and charge...Ch. 23 - Determining the Size of the Nucleus. When...Ch. 23 - CP A proton and an alpha particle are released...Ch. 23 - A particle with charge +7.60 nC is in a uniform...Ch. 23 - Identical charges q = +5.00 C are placed at...Ch. 23 - CALC A vacuum tube diode consists of concentric...Ch. 23 - Two oppositely charged, identical insulating...Ch. 23 - An Ionic Crystal. Figure P23.57 shows eight point...Ch. 23 - (a) Calculate the potential energy of a system of...Ch. 23 - CP A small sphere with mass 1.50 g hangs by a...Ch. 23 - Two spherical shells have a common center. The...Ch. 23 - CALC Coaxial Cylinders. A long metal cylinder with...Ch. 23 - A Geiger counter detects radiation such as alpha...Ch. 23 - CP Deflection in a CRT. Cathode-ray tubes (CRTs)...Ch. 23 - CP Deflecting Plates of an Oscilloscope. The...Ch. 23 - Electrostatic precipitators use electric forces to...Ch. 23 - CALC A disk with radius R has uniform surface...Ch. 23 - CALC Self-Energy of a Sphere of Charge. 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