Explanation Figure 1 represents a line of charge lies along the line y = − 15.0 m between the point having coordinates x = 0 and x = 40.0 cm . Write the expression for electric field at the origin due to elemental charge d q from Figure 1. d E → = k e d q x 2 + ( 0.150 m ) 2 ( − x i ^ + 0.150 m j ^ x 2 + ( 0.150 m ) 2 ) (I) Here, d E → is the electric field at the origin due to electric field due to elemental charge d q , k e is the coulomb’s constant, and d q is the elemental charge. Write the expression for elemental charge in terms of linear charge density. d q = λ d x (II) Here, λ is the linear charge density. Use equation (II) in (I). d E → = k e λ d x x 2 + ( 0.150 m ) 2 ( − x i ^ + 0.150 m j ^ x 2 + ( 0.150 m ) 2 ) (III) Integrate equation (III) from x = 0 and x = 40.0 cm . E → = k e λ ∫ x = 0 0.40 m ( − x i ^ + 0.150 m j ^ ) d x [ x 2 + ( 0.150 m ) 2 ] 3 / 2 = k e λ [ ( + i ^ x 2 + ( 0

Principles of Physics: A Calculus-Based Text

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ISBN: 9781133104261

Author: Raymond A. Serway, John W. Jewett

Publisher: Cengage Learning

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Chapter 19, Problem 71P

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Principles of Physics: A Calculus-Based Text

Ch. 19.2 - Three objects are brought close to one another,...Ch. 19.3 - Three objects are brought close to one another,...Ch. 19.4 - Object A has a charge of +2 C, and object B has a...Ch. 19.5 - A test charge of +3 C is at a point P where an...Ch. 19.6 - Rank the magnitudes of the electric field at...Ch. 19.9 - If the net flux through a gaussian surface is...Ch. 19.9 - Consider the charge distribution shown in Active...Ch. 19 - A point charge of 4.00 nC is located at (0, 1.00)...Ch. 19 - Charges of 3.00 nC, 2.00 nC, 7.00 nC, and 1.00 nC...Ch. 19 - An object with negative charge is placed in a...

Ch. 19 - A particle with charge q is located inside a...Ch. 19 - Prob. 5OQ Ch. 19 - Prob. 6OQ Ch. 19 - Rank the electric fluxes through each gaussian...Ch. 19 - A circular ring of charge with radius b has total...Ch. 19 - Two solid spheres, both of radius 5 cm, carry...Ch. 19 - An electron with a speed of 3.00 106 m/s moves...Ch. 19 - A very small ball has a mass of 5.00 103 kg and a...Ch. 19 - In which of the following contexts can Gausss law...Ch. 19 - Two point charges attract each other with an...Ch. 19 - Three charged particles are arranged on corners of...Ch. 19 - Assume the charged objects in Figure OQ19.15 are...Ch. 19 - A uniform electric field exists in a region of...Ch. 19 - Prob. 2CQ Ch. 19 - If more electric field lines leave a gaussian...Ch. 19 - Prob. 4CQ Ch. 19 - Prob. 5CQ Ch. 19 - Prob. 6CQ Ch. 19 - Prob. 7CQ Ch. 19 - A cubical surface surrounds a point charge q....Ch. 19 - Prob. 9CQ Ch. 19 - Prob. 10CQ Ch. 19 - Prob. 11CQ Ch. 19 - Prob. 12CQ Ch. 19 - Prob. 13CQ Ch. 19 - Prob. 14CQ Ch. 19 - A common demonstration involves charging a rubber...Ch. 19 - Prob. 1P Ch. 19 - (a) Calculate the number of electrons in a small,...Ch. 19 - Nobel laureate Richard Feynman (19181088) once...Ch. 19 - Prob. 4P Ch. 19 - Prob. 5P Ch. 19 - Prob. 6P Ch. 19 - Two small beads having positive charges q1 = 3q...Ch. 19 - Prob. 8P Ch. 19 - Three charged particles are located at the corners...Ch. 19 - Particle A of charge 3.00 104 C is at the origin,...Ch. 19 - Prob. 11P Ch. 19 - Prob. 12P Ch. 19 - Review. A molecule of DNA (deoxyribonucleic acid)...Ch. 19 - Prob. 14P Ch. 19 - Prob. 15P Ch. 19 - Prob. 16P Ch. 19 - In Figure P19.17, determine the point (other than...Ch. 19 - Prob. 18P Ch. 19 - Three point charges are arranged as shown in...Ch. 19 - Consider the electric dipole shown in Figure...Ch. 19 - A uniformly charged insulating rod of length 14.0...Ch. 19 - Prob. 22P Ch. 19 - A rod 14.0 cm long is uniformly charged and has a...Ch. 19 - Prob. 24P Ch. 19 - Prob. 25P Ch. 19 - Prob. 26P Ch. 19 - Prob. 27P Ch. 19 - Three equal positive charges q are at the comers...Ch. 19 - Prob. 29P Ch. 19 - Prob. 30P Ch. 19 - Prob. 31P Ch. 19 - Prob. 32P Ch. 19 - A proton accelerates from rest in a uniform...Ch. 19 - Prob. 34P Ch. 19 - Prob. 35P Ch. 19 - Prob. 36P Ch. 19 - Prob. 37P Ch. 19 - A particle with charge Q is located a small...Ch. 19 - Prob. 39P Ch. 19 - Prob. 40P Ch. 19 - A particle with charge Q = 5.00 C is located at...Ch. 19 - Prob. 42P Ch. 19 - Prob. 43P Ch. 19 - Prob. 44P Ch. 19 - Prob. 45P Ch. 19 - A nonconducting wall carries charge with a uniform...Ch. 19 - In nuclear fission, a nucleus of uranium-238,...Ch. 19 - Consider a long, cylindrical charge distribution...Ch. 19 - A 10.0-g piece of Styrofoam carries a net charge...Ch. 19 - An insulating solid sphere of radius a has a...Ch. 19 - A large, flat, horizontal sheet of charge has a...Ch. 19 - A cylindrical shell of radius 7.00 cm and length...Ch. 19 - Consider a thin, spherical shell of radius 14.0 cm...Ch. 19 - Prob. 54P Ch. 19 - Prob. 55P Ch. 19 - Prob. 56P Ch. 19 - A solid conducting sphere of radius 2.00 cm has a...Ch. 19 - A very large, thin, flat plate of aluminum of area...Ch. 19 - A thin, square, conducting plate 50.0 cm on a side...Ch. 19 - A long, straight wire is surrounded by a hollow...Ch. 19 - A square plate of copper with 50.0-cm sides has no...Ch. 19 - Prob. 62P Ch. 19 - Prob. 63P Ch. 19 - Prob. 64P Ch. 19 - Prob. 65P Ch. 19 - Why is the following situation impossible? An...Ch. 19 - A small, 2.00-g plastic ball is suspended by a...Ch. 19 - Two point charges qA = 12.0 C and qB = 45.0 C and...Ch. 19 - Prob. 69P Ch. 19 - Prob. 70P Ch. 19 - Prob. 71P Ch. 19 - Two small spheres of mass m are suspended from...Ch. 19 - Two infinite, nonconducting sheets of charge are...Ch. 19 - Consider the charge distribution shown in Figure...Ch. 19 - A solid, insulating sphere of radius a has a...Ch. 19 - Prob. 76P Ch. 19 - Prob. 77P Ch. 19 - Prob. 78P

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