University Physics Volume 2
18th Edition
ISBN: 9781938168161
Author: OpenStax
Publisher: OpenStax
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Textbook Question
Chapter 5, Problem 96P
Two infinite rods, each carrying a uniform charge density
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L
In the figure above, two tiny conducting balls of identical mass m
and identical charge q hang from nonconducting threads of length L.
Assume that 0 is so small that tan 0 can be replaced by its
approximate equal, sin 0. Find the magnitude of q in terms of the
given variables (not including 0), using eo and g if necessary.
What is the line charge density on a long wire if a 7.1 μg particle carrying 2.4 nC describes a circular orbit about the wire with speed 320 m/s?
Express your answer using two significant figures.
197) ΑΣΦ
λ=
BANC
?
HC/m
Would be able to help me answer this please?
Consider a straight, non-conducting rod of length L that is charged such that its charge density increases linearly from zero at one end to a maximum λₒ at the other.
Derive an expression for the total charge on the conductor in terms of L and λₒ.
I know that the total charge density is equal to αx (α being a constant and x being a small amount of L), and that dq=λdx and that you integrate, but how am I meant to get it in terms of λₒ and L ???
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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