Example 24.7 A Cylindrically Symmetric Charge Distribution Problem Find the electric field a distance r from a line of positive charge of infinite length and constant charge per unit length 2 (Fig. 24.14a). Gaussian surface Strategy Select a cylindrical gaussian surface that is coaxial with the line charge. Since the ends of the cylinder have 0 flux through them, just pay attention to the curved surfaces of the cylinder as you apply Gauss's law and integrate. Solve for E. (a) (b) Figure 24.14 (a) An infinite line of charge surrounded by a cylindrical gaussian surface concentric with the line of charge. (b) An end view shows that the electric field on the cylindrical surface is constant in magnitude and perpendicular to the surface. ENG

Example 24.7 A Cylindrically Symmetric Charge Distribution Problem Find the electric field a distance r from a line of positive charge of infinite length and constant charge per unit length 2 (Fig. 24.14a). Gaussian surface Strategy Select a cylindrical gaussian surface that is coaxial with the line charge. Since the ends of the cylinder have 0 flux through them, just pay attention to the curved surfaces of the cylinder as you apply Gauss's law and integrate. Solve for E. (a) (b) Figure 24.14 (a) An infinite line of charge surrounded by a cylindrical gaussian surface concentric with the line of charge. (b) An end view shows that the electric field on the cylindrical surface is constant in magnitude and perpendicular to the surface. ENG

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter6: Gauss's Law

Section: Chapter Questions

Problem 75AP: (a) Calculate the electric flux through the open hemispherical surface due to the electric field E...

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