University Physics Volume 2
18th Edition
ISBN: 9781938168161
Author: OpenStax
Publisher: OpenStax
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Textbook Question
Chapter 5, Problem 115AP
Find the electric field at P for the charge configurations shown below.
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Gauss's law
Formulated by Karl Friedrich Gauss (1777-1855), a German Mathematician. Provide a means in
determining the electric field or electric field intensity as produced by charge (point or distributed). Since
Coulombs Law is already popular in point charges, Gauss's Law is more useful in distributed charges specially
if it is symmetrically distributed in a closed system, such as charges in long wire or in a relatively infinite plane.
Electric field E for uniformly distributed system
Charge distribution
Point of
Electric Field
Figure
interest
Charge q distributed
on the surface of a
conducting with
radius R
outside sphere;
r > R
1 q
E =
4T€, r²
inside sphere:
E = 0
r< R
Long wire, with
uniform distribution
at a distance r
from the wire
E =
charge per unit
length A
2nɛ, r
Infinite plane sheet,
with a charge per
at any distance
from the plate
E =
2πεο
unit area o
Two conducting
plates oppositely
charged, with
densities o and – o
at any point
between the
E =
conducting
plate
ACTIVITY:…
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Chapter 5 Solutions
University Physics Volume 2
Ch. 5 - Check Your Understanding What would be different...Ch. 5 - Check Your Understanding What would be different...Ch. 5 - Check Your Understanding What is the electric...Ch. 5 - Check Your Understanding How would the strategy...Ch. 5 - Check Your Understanding How would the above limit...Ch. 5 - Check Your Understanding the electric field 100k...Ch. 5 - There are very large numbers of charged particles...Ch. 5 - Why do most objects tend to contain nearly equal...Ch. 5 - A positively charged It'd attracts a small piece...Ch. 5 - Two bodies attract each other electrically. Do...
Ch. 5 - How would you determine whether the charge on a...Ch. 5 - An eccentlic inventor attempts to levitate a cork...Ch. 5 - When a glass rod is lubbed with silk, it becomes...Ch. 5 - Why does a car always attract dust right after it...Ch. 5 - Does the uncharged conductor shown below...Ch. 5 - While walking on a mg, a person frequently becomes...Ch. 5 - Compare charging by conduction to charging by...Ch. 5 - Small pieces of tissue are attracted to a charged...Ch. 5 - Trucks that cany gasoline often have chains...Ch. 5 - Why do electrostatic experiments work so poorly in...Ch. 5 - Why do some clothes cling together after being...Ch. 5 - Can induction be used to produce charge on an...Ch. 5 - Suppose someone tells you that rubbing quartz with...Ch. 5 - A handheld copper rod does not acquire a charge...Ch. 5 - Suppose you place a charge q near a large metal...Ch. 5 - Would defining the charge on an electron to be...Ch. 5 - An atomic nucleus contains positively charged...Ch. 5 - Is the fore between two fixed charges influenced...Ch. 5 - When measuring an electlic field, could we use a...Ch. 5 - During fair weather, the electric field due to the...Ch. 5 - If the electric field at a point on the line...Ch. 5 - Two charges lie along the x-axis. Is it nue that...Ch. 5 - Give a plausible argument as to why the electric...Ch. 5 - Compare the electric fields of an infinite sheet...Ch. 5 - Describe the electric fields of an infinite...Ch. 5 - A negative charge is placed at center of a ring of...Ch. 5 - If a point charge is released fmm rest in a...Ch. 5 - Under what conditions, if any, will the trajectory...Ch. 5 - How would you experimentally distinguish an...Ch. 5 - A representation of an electric field shows 10...Ch. 5 - What is the ratio of the number of electlic field...Ch. 5 - What are the stable orientation(s) for a dipole in...Ch. 5 - Common static electricity involves charges ranging...Ch. 5 - If 1.801020 electrons move through a pocket...Ch. 5 - To stat a car engine, the car battery moves...Ch. 5 - A certain lightning bolt moves 40.0 C of charge....Ch. 5 - A 2.5-g copper penny is given a charge of 2.0109C...Ch. 5 - A 2.5-g copper penny is given a charge of 4.0109C...Ch. 5 - Suppose a speck of dust in an electrostatic...Ch. 5 - An amoeba has 1.001016 protons and a net charge of...Ch. 5 - A 50.0-g ball of copper has a net charge of 2.00C....Ch. 5 - What net charge would you place on a 100-g piece...Ch. 5 - How many coulombs of positive charge are there in...Ch. 5 - Two point particles with charges +3C and +5C are...Ch. 5 - Two charges +3C and +12C are fixed 1 m apart, with...Ch. 5 - In a salt crystal, the distance between adjacent...Ch. 5 - Protons in an atomic nucleus ale typically 1015 m...Ch. 5 - Suppose Earth and the Moon each carried a net...Ch. 5 - Point charges q1=50C and q2=25C are placed 1.0 m...Ch. 5 - Where must q3 of the preceding problem be placed...Ch. 5 - Two small balls, each of mass 5.0 g, are attached...Ch. 5 - Point charges q1=2.0C and q3=4.0C arelocated at...Ch. 5 - The net excess charge on two small spheres (small...Ch. 5 - Two small, identical conducting spheres repel each...Ch. 5 - A charge q=2.0C is placed at the point P shown...Ch. 5 - What is the net electric fore on the charge...Ch. 5 - Two fixed particles, each of charge 5.0106C , are...Ch. 5 - The charges q1=2.0107C, q2=4.0107C, and q3=1.0107C...Ch. 5 - What is the force on the charge q at the...Ch. 5 - Point charges q1=10C and q2=30C are fixed at...Ch. 5 - A particle of charge 2.0108C experiences an upward...Ch. 5 - On a typical clear day, the atmospheric electric...Ch. 5 - Consider an electron that is 1010 m from an alpha...Ch. 5 - Each the balls shown below carries a charge q and...Ch. 5 - What is the electric field at a point where the...Ch. 5 - A proton is suspended in the air by an electric...Ch. 5 - The electric field in a particular thundercloud is...Ch. 5 - A small piece of cork whose mass is 2.0 g is given...Ch. 5 - If the electric field is 100 N/C at a distance of...Ch. 5 - What is the electric field of a proton at the...Ch. 5 - (a) What is the electric field of an oxygen...Ch. 5 - Two point charges, q1=2.0107C and q2=6.0108C , are...Ch. 5 - Point charges q1=50C and q2=25C are placed 1.0 m...Ch. 5 - Can you arrange the two point charges q1=2.0106C...Ch. 5 - Point charges q1=q2=4.0106C are fixed on the...Ch. 5 - A thin conducting plate 1.0 m on the side is given...Ch. 5 - Calculate the magnitude and direction of the...Ch. 5 - Two thin conducting plates, each 25.0 cm on a...Ch. 5 - The charge per unit length on the thin rod shown...Ch. 5 - The charge per unit length on thin semicircular...Ch. 5 - Two thin parallel conducting plates are placed 2.0...Ch. 5 - A thin conducing plate 2.0 m on a side is given a...Ch. 5 - A total charge q is distributed uniformly along a...Ch. 5 - Charge is distributed along the entire x-axis...Ch. 5 - Charge is distributed along the entire x-axis...Ch. 5 - A rod bent into the arc of a circle subtends an...Ch. 5 - A pluton moves in the electric field E=200iN/C ....Ch. 5 - An electron and a proton, each starting from rest,...Ch. 5 - A spherical water droplet of radius 25 m carries...Ch. 5 - A proton enters the uniform electric field...Ch. 5 - Shown below is a small sphere of mass 0.25 g that...Ch. 5 - Two infinite rods, each carrying a uniform charge...Ch. 5 - Positive charge is distributed with a uniform...Ch. 5 - From a distance of 10 cm, a proton is projected...Ch. 5 - A particle of mass m and charge q moves along a...Ch. 5 - Which of the following electric field lines are...Ch. 5 - In this exercise, you practice electric field...Ch. 5 - Draw the electric field for a system of three...Ch. 5 - Two charges of equal magnitude but opposite sign...Ch. 5 - Suppose the electric field of an isolated point...Ch. 5 - Consider the equal and opposite charges shown...Ch. 5 - (a) What is the dipole moment of the configuration...Ch. 5 - A water molecule consists of two hydrogen atoms...Ch. 5 - Point charges q1=2.0C and q1=4.0C are located at...Ch. 5 - What is the force on the 5.0C charge shown below?Ch. 5 - What is the force on the charge placed at the 2.0C...Ch. 5 - Four charged particles are positioned at the...Ch. 5 - A charge Q is fixed at the origin and a second...Ch. 5 - A charge q=2.0C is released from rest when it is...Ch. 5 - What is the electric field at the midpoint M of...Ch. 5 - Find the electric field at P for the charge...Ch. 5 - (a) What is the electric field at the...Ch. 5 - Point charges are placed at the four corner of a...Ch. 5 - Three charges are positioned at the cornets of a...Ch. 5 - Prob. 119APCh. 5 - A particle of charge q and mass m is placed at the...Ch. 5 - Charge is distributed uniformly along the entire...Ch. 5 - The circular are shown below carries a charge per...Ch. 5 - Calculate the electric field due to a uniformly...Ch. 5 - The charge unit length on the thin shown below is ...Ch. 5 - The charge per unit length on the thin rod shown...Ch. 5 - The charge per unit length on the thin...
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