Introduction to Electrodynamics
4th Edition
ISBN: 9781108420419
Author: David J. Griffiths
Publisher: Cambridge University Press
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Chapter 3.3, Problem 3.13P
Find the potential in the infinite slot of Ex. 3.3 if the boundary at
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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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- Derive this equation for Potential of A uniform line of charge, using integration with limits as 0 to L.arrow_forwardFind the potential inside and outside a uniformly charged solid spherewhose radius is R and whose total charge is q. Use infinity as your reference point.Compute the gradient of V in each region, and check that it yields the correct field.Sketch V (r).arrow_forwardFind the potential inside and outside a spherical shell of radius R that carries a uniform surface charge density of Sigma0. Set the reference point at infinity. Draw a graph of this potential as a function of r, the spherical radius.arrow_forward
- Find the electric potential of a uniformly charged, nonconducting wire with linear density λ (coulomb/meter) and length L at a point that lies on a line that divides the wire into two equal parts.arrow_forwardConsider the line of charge shown on the attached figure. If the radius of the arc is R and the linear charge density on the line is λ, find the potential at the point P shown.arrow_forwardFind the electric potential inside and outside a uniformly charged spherical shell of radius Rarrow_forward
- For the scalar potential field f = x^2*y^3 + x*y^2*z^3 + c, what is the direction and magnitude of the steepest decent at point P(1,2,1) and calculate the directional derivative in the direction of u(2,1,2) at the point P?arrow_forwardFind the potential at point a due to two charges.arrow_forwardCompute for the absolute potential for every of the following distances from a charge of 2 μC: whenr = 100 mm and r = 500 mm. How much work is needed to carry a 0.05 μC charge from the point at r =100 mm to that at r = 100 mm?arrow_forward
- A sphere of radius R centered at the origin carries charge density ρ(r, θ) = k*(R/r^ 2) (R − 2r) sin θ where k is a constant, and r, θ are the usual spherical coordinates. Use the multipole expansion to find the approximate potential for points on the z-axis far from the sphere (z >> R).arrow_forwardConsider two points in an electric field. The potential at P1 is V1= -30V and the potential at P2= 150. How much work does an external force do when moving a load q= -4.7 μC, from P1 to P2?arrow_forwardWhat is the potential at the center of a disk with a hole cut out of its center with an inside radius a and outside radius b and a surface charge density of d?arrow_forward
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