Let d and s be two unequal lengths Assume that charge is distributed on the z 0 plane with a surface density (a) Integrate to find the total charge Q on the plane (b) Show that the potential (z) produced by () on the z axis is identical to the potential produced by a point with charge Q on the axis...

a By translational symmetry r z and we can choose any observation distance z we wish The calcu ...

Let d and s be two unequal lengths. Assume that charge is distributed on the z =

Question:

Let d and s be two unequal lengths. Assume that charge is distributed on the z = 0 plane with a surface density

(a) Integrate σ to find the total charge Q on the plane.

(b) Show that the potential ϕ(z) produced by σ(ρ) on the z-axis is identical to the potential produced by a point with charge Q on the axis at z = −s.

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Modern Electrodynamics

ISBN: 9780521896979

1st Edition

Authors: Andrew Zangwill

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Question Posted: Feb 02, 2023 01:05 AM

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Let d and s be two unequal lengths. Assume that charge is distributed on the z =

Question:

σ(ρ) = -qd 2π (p² + s²)3/2*

Step by Step Answer:

a By translational symmetry r z and we can choose any observation distance z we wish The calcu...View the full answer

Modern Electrodynamics

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