- 3.1P: Find the average potential over a spherical surface of radius R due...
- 3.2P: In one sentence, justify Earnshaw’s Theorem: A charged particle can...
- 3.3P: Find the general solution to Laplace’s equation in spherical coordi...
- 3.4P: (a) Show that the average electric field over a spherical surface, ...
- 3.5P: Prove that the field is uniquely determined when the charge density...
- 3.6P: A more elegant proof of the second uniqueness theorem uses Green’s ...
- 3.7P: Find the force on the charge +q in Fig. 3.14. (The xy plane is a gr...
- 3.8P: (a) Using the law of cosines, show that Eq. 3.17 can be written as ...
- 3.9P: In Ex. 3.2 we assumed that the conducting sphere was grounded (V = ...
- 3.10P: uniform line charge ? is placed on an infinite straight wire, a dis...
- 3.11P: Two semi-infinite grounded conducting planes meet at right angles. ...
- 3.12P: Two long, straight copper pipes, each of radius R, are held a dista...
- 3.13P: Find the potential in the infinite slot of Ex. 3.3 if the boundary ...
- 3.14P: For the infinite slot (Ex. 3.3), determine the charge density ?(y) ...
- 3.15P: ectangular pipe, running parallel to the z-axis (from ?? to + ?), h...
- 3.16P: A cubical box (sides of length a) consists of five metal plates, wh...
- 3.17P: Derive P3(x) from the Rodrigues formula, and check that P3(cos ?) s...
- 3.18P: (a) Suppose the potential is a constant V0 over the surface of the ...
- 3.19P: The potential at the surface of a sphere (radius R) is given by whe...
- 3.20P: Suppose the potential V0(?) at the surface of a sphere is specified...
- 3.21P: Find the potential outside a charged metal sphere (charge Q, radius...
- 3.22P: In Prob. 2.25, you found the potential on the axis of a uniformly c...
- 3.23P: spherical shell of radius R carries a uniform surface charge ?0 on ...
- 3.24P: Solve Laplace’s equation by separation of variables in cylindrical ...
- 3.25P: Find the potential outside an infinitely long metal pipe, of radius...
- 3.26P: Charge density (where a is a constant) is glued over the surface of...
- 3.27P: A sphere of radius R, centered at the origin, carries charge densit...
- 3.29P: Four particles (one of charge q, one of charge 3q, and two of charg...
- 3.30P: In Ex. 3.9, we derived the exact potential for a spherical shell of...
- 3.31P: For the dipole in Ex. 3.10, expand and use this to determine the qu...
- 3.32P: Two point charges, 3q and ?q, are separated by a distance a. For ea...
- 3.33P: ?A "pure" dipole \(p\) is situated at the origin, pointing in the \...
- 3.34P: Three point charges are located as shown in Fig. 3.38, each a dista...
- 3.35P: ?A solid sphere, radius R, is centered at the origin. The “northern...
- 3.36P: Show that the electric field of a (perfect) dipole (Eq. 3.103) can ...
- 3.39P: Two infinite parallel grounded conducting planes are held a distanc...
- 3.40P: Two long straight wires, carrying opposite uniform line charges ±?,...
- 3.43P: A conducting sphere of radius a, at potential V0, is surrounded by ...
- 3.44P: A charge +Q is distributed uniformly along the z axis from z = ?a t...
- 3.45P: A long cylindrical shell of radius R carries a uniform surface char...
- 3.46P: A thin insulating rod, running from z = ?a to z = +a, carries the i...
- 3.47P: Show that the average field inside a sphere of radius R, due to all...
- 3.48P: (a) Using Eq. 3.103, calculate the average electric field of a dipo...
- 3.50P: (a) Suppose a charge distribution ?1(r) produces a potential V1(r),...
- 3.51P: Use Green’s reciprocity theorem (Prob. 3.50) to solve the following...
- 3.52P: (a) Show that the quadrupole term in the multipole expansion can be...
- 3.53P: In Ex. 3.8 we determined the electric field outside a spherical con...
- 3.54P: For the infinite rectangular pipe in Ex. 3.4, suppose the potential...
- 3.55P: (a) A long metal pipe of square cross-section (side a) is grounded ...
- 3.56P: An ideal electric dipole is situated at the origin, and points in t...
- 3.57P: A stationary electric dipole is situated at the origin. A positive ...
Solutions for Chapter 3: Potentials
Full solutions for Introduction to Electrodynamics | 4th Edition
ISBN: 9780321856562
Solutions for Chapter 3
11
5
Summary of Chapter 3: Potentials
The primary task of electrostatics is to find the electric field of a given stationary charge distribution. In principle, this purpose is accomplished by Coulomb's law.
Introduction to Electrodynamics was written by and is associated to the ISBN: 9780321856562. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 3: Potentials includes 51 full step-by-step solutions. This textbook survival guide was created for the textbook: Introduction to Electrodynamics , edition: 4. Since 51 problems in chapter 3: Potentials have been answered, more than 232861 students have viewed full step-by-step solutions from this chapter.
Key Physics Terms and definitions covered in this textbook
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parallel
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any symbol
average (indicated by a bar over a symbol—e.g., v¯ is average velocity)
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°C
Celsius degree
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°F
Fahrenheit degree