Q3. An infinitely long nonconducting cylinder of radius R and carrying a nonuniform volume charge density of p(r) = ar where a is a constant. (a) Calculate charge per unit length of the cylinder (b) Find the expressions for the electric field due to this charged cylinder. You should find one expression for the electric field in the region r R

Q3. An infinitely long nonconducting cylinder of radius R and carrying a nonuniform volume charge density of p(r) = ar where a is a constant. (a) Calculate charge per unit length of the cylinder (b) Find the expressions for the electric field due to this charged cylinder. You should find one expression for the electric field in the region r R

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter19: Electric Forces And Electric Fields

Section: Chapter Questions

Problem 73P: Two infinite, nonconducting sheets of charge are parallel to each other as shown in Figure P19.73....

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#2. (a)Explain briefly the advantages of Gauss’ law over Coulomb’s law for thecalculation of the electric field.(b)A spherical ball of charged particles has a uniform charge density throughoutits volume. If the radius of the ball is 10 cm, find the radial distance both inside and outsidethe sphere where the electric field is one-third of the maximum electric field.
A shere of radius R = 0.35 m has a volume charge distribution described by: ρ(r) = ρ0 (1− r/R) for r ≤ R, where ρ0 = 18.5 μC/m3. a. What is the total charge on the sphere? b. What is the strength of the electric field produced by the charge distribution at a distance 0.21 m from the center of the sphere? c. What is the strength of the electric field produced by the charge distribution at a distance 0.4025 m from the center of the sphere? d. Graph the electric field as a function of r between r = 0 and r =0.4025 m.
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13. Consider an electron and the surface that encloses it in Figure A. What is the electric flux through this surface?
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