Introduction to Electrodynamics
4th Edition
ISBN: 9781108420419
Author: David J. Griffiths
Publisher: Cambridge University Press
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Chapter 3.4, Problem 3.56P
To determine
The fact that the electric dipole swings back and forth in a semi-circular direcrtion.
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Chapter 3 Solutions
Introduction to Electrodynamics
Ch. 3.1 - Find the average potential over a spherical...Ch. 3.1 - Prob. 3.2PCh. 3.1 - Prob. 3.3PCh. 3.1 - Prob. 3.4PCh. 3.1 - Prob. 3.5PCh. 3.1 - Prob. 3.6PCh. 3.2 - Find the force on the charge +q in Fig. 3.14....Ch. 3.2 - (a) Using the law of cosines, show that Eq. 3.17...Ch. 3.2 - In Ex. 3.2 we assumed that the conducting sphere...Ch. 3.2 - A uniform line charge is placed on an infinite...
Ch. 3.2 - Two semi-infinite grounded conducting planes meet...Ch. 3.2 - Prob. 3.12PCh. 3.3 - Find the potential in the infinite slot of Ex. 3.3...Ch. 3.3 - Prob. 3.14PCh. 3.3 - A rectangular pipe, running parallel to the z-axis...Ch. 3.3 - A cubical box (sides of length a) consists of five...Ch. 3.3 - Prob. 3.17PCh. 3.3 - Prob. 3.18PCh. 3.3 - Prob. 3.19PCh. 3.3 - Suppose the potential V0() at the surface of a...Ch. 3.3 - Prob. 3.21PCh. 3.3 - In Prob. 2.25, you found the potential on the axis...Ch. 3.3 - Prob. 3.23PCh. 3.3 - Prob. 3.24PCh. 3.3 - Find the potential outside an infinitely long...Ch. 3.3 - Prob. 3.26PCh. 3.4 - A sphere of radius R, centered at the origin,...Ch. 3.4 - Prob. 3.28PCh. 3.4 - Four particles (one of charge q, one of charge 3q,...Ch. 3.4 - In Ex. 3.9, we derived the exact potential for a...Ch. 3.4 - Prob. 3.31PCh. 3.4 - Two point charges, 3qand q , arc separated by a...Ch. 3.4 - Prob. 3.33PCh. 3.4 - Three point charges are located as shown in Fig....Ch. 3.4 - A solid sphere, radius R, is centered at the...Ch. 3.4 - Prob. 3.36PCh. 3.4 - Prob. 3.37PCh. 3.4 - Here’s an alternative derivation of Eq. 3.10 (the...Ch. 3.4 - Prob. 3.39PCh. 3.4 - Two long straight wires, carrying opposite uniform...Ch. 3.4 - Prob. 3.41PCh. 3.4 - You can use the superposition principle to combine...Ch. 3.4 - A conducting sphere of radius a, at potential V0 ,...Ch. 3.4 - Prob. 3.44PCh. 3.4 - Prob. 3.45PCh. 3.4 - A thin insulating rod, running from z=a to z=+a ,...Ch. 3.4 - Prob. 3.47PCh. 3.4 - Prob. 3.48PCh. 3.4 - Prob. 3.49PCh. 3.4 - Prob. 3.50PCh. 3.4 - Prob. 3.51PCh. 3.4 - Prob. 3.52PCh. 3.4 - Prob. 3.53PCh. 3.4 - Prob. 3.54PCh. 3.4 - Prob. 3.55PCh. 3.4 - Prob. 3.56PCh. 3.4 - Prob. 3.57PCh. 3.4 - Find the charge density () on the surface of a...
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- I have parts A & B. I just need help with c. The figure is attached. For the cylinder of uniform charge density in Fig. 2.26: (a) show that the expression there given for the field inside the cylinder follows from Gauss’s law My Answer: p = rho r<a: E = (p*r)/ (2 * epsilon not) r>a: E = (p * a^2)/(2 * epsilon * r) (b) find the potential φ as a function of r, both inside and outside the cylinder, taking φ = 0 at r = 0. My Answer: r<a: φ(r) = (-p * r^2)/(4 * epsilon not) r>a: φ(r) = (-p * a^2)/(4 * epsilon not) - (p * a^2)/(2 * epsilon not)(In(r/a)) c) Take the Laplacian in cylindrical coordinates and show that Poisson’s equation holds in this example.arrow_forwardDetermine the x-component of the electric field, in volts per meter, at (8.18, 7.47, 9.8) due to a very long uniform line charge of density 14 nC/m at x = -7.76 meters, z = -8.58 meters. All coordinates are measured in meters. Express your answers accurate to four decimal places.arrow_forwardAn electric force is expressed as F = -pz sin o a, + p cos pa,. Transform F into cartesian coordinates and compute its magnitude at point (2,-1).arrow_forward
- A spherical water droplet of radius 29 pm carries an excess 234 electrons. What vertical electric field (in N/C) is needed to balance the gravitational force on the droplet at the surface of the earth? (Assume the density of a water droplet is 1,000 kg/m³. Enter the magnitude.)arrow_forward1.27| The important dipole field (to be addressed in Chapter 4) is expressed in spherical coordinates as E =4 (2 cos 0 a, + sin 0 ag) where A is a constant, and where r> 0. See Figure 4.9 for a sketch. (a) Identify the surface on which the field is entirely perpendicular to the xy plane and express the field on that surface in cylindrical coordinates. (b) Identify the coordinate axis on which the field is entirely perpendicular to the xy plane and express the field there in cylindrical coordinates. (c) Specify the surface on which the field is entirely parallel to the xy plane.arrow_forwardCompute for the work done, in millijoules, in moving a 6-nC charge radially away from the center from a distance of 6 m to a distance of 12 m against the electric field inside a non-conducting spherical shell of inner radius 4 m, outer radius 18 m, and total charge 7 mC.answer: -3.1893 mJConsider two concentric conducting spherical shells of negligible thickness separated by vacuum. One of the shells has a radius of 4 m, while the other has radius of 8 m. The total charge of one of the shells is 7 mC, while that of the other is 8 mC. Their respective total charges are distributed evenly on their surfaces. Determine the total potential energy, in nanojoules, stored between the two shells. Use the permittivity of free space as 8.854 × 10-12 F/m.ans: -27.5250 ANSWER BOTHarrow_forward
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