A particle with charge of 12.5 μC is placed at the center of a spherical shell of radius 27.5 cm. (a) What is the total electric flux through the surface of the shell? N.m²/c (b) What is the total electric flux through any hemispherical surface of the shell? N-m²/c (c) Do the results depend on the radius? O Yes No

A particle with charge of 12.5 μC is placed at the center of a spherical shell of radius 27.5 cm. (a) What is the total electric flux through the surface of the shell? N.m²/c (b) What is the total electric flux through any hemispherical surface of the shell? N-m²/c (c) Do the results depend on the radius? O Yes No

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 40P

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Similar questions

Find the electric flux through the plane surface shown in Figure P23.37 if = 60.0, E = 350 N/C, and d = 5.00 cm. The electric field is uniform over the entire area of the surface. Figure P23.37
(a) Find the net electric flux through the cube shown in Figure P23.17. (b) Can you use Gausss law to find the electric field on the surface of this cube? Explain. Figure P23.17
Find the net electric flux through (a) the closed spherical surface in a uniform electric field shown in Figure P23.22a and (b) the closed cylindrical surface shown in Figure P23.22b. (c) What can you conclude about the charges, if any, inside the cylindrical surface? Figure P23.22
Figure P15.49 shows a closed cylinder with cross-sectional area A = 2.00 m2. The constant electric field E has magnitude 3.50 103 N/C and is directed vertically upward, perpendicular to the cylinder's top and bottom surfaces so that no field lines paw through the curved surface. Calculate the electric flux through the cylinder's (a) lop and (b) bottom surface, (c) Determine the amount of charge inside the cylinder. Figure P15.49
A cubical gaussian surface is bisected by a large sheet of charge, parallel to its top and bottom faces. No other charges are nearby. (i) Over how many of the cubes faces is the electric field zero? (a) 0 (b) 2 (c) 4 (d) 6 (ii) Through how many of the cubes faces is the electric flux zero? Choose from the same possibilities as in part (i).
An insulating solid sphere of radius a has a uniform volume charge density and carries a total positive charge Q. A spherical gaussian surface of radius r, which shares a common center with the insulating sphere, is inflated starting from r = 0. (a) Find an expression for the electric flux passing through the surface of the gaussian sphere as a function of r for r a. (b) Find an expression for the electric flux for r a. (c) Plot the flux versus r.
A long, straight wire is surrounded by a hollow metal cylinder whose axis coincides with that of the wire. The wire has a charge per unit length of , and the cylinder has a net charge per unit length of 2. From this information, use Gausss law to find (a) the charge per unit length on the inner surface of the cylinder, (b) the charge per unit length on the outer surface of the cylinder, and (c) the electric field outside the cylinder a distance r from the axis.
In which of the following contexts can Gausss law not be readily applied to find the electric field? (a) near a long, uniformly charged wire (b) above a large, uniformly charged plane (c) inside a uniformly charged ball (d) outside a uniformly charged sphere (e) Gausss law can be readily applied to find the electric field in all these contexts.
A Using Gausss law, find the electric flux through each of the closed Gaussian surfaces A, B, C, and D shown in Figure P25.25. FIGURE P25.25
A cylinder with radius r = 0.75m and length l = 0.6m that has an infinite line of positive charge running along its axis. The charge per unit length in the line is 7µc/m. i. What is the electric flux through the cylinder due to this line of charge? ii. What is the flux through the cylinder if its radius increased to r = 0.32m? iii. What is the electric field intensity at radius r = 0.32m and l = 0.6m? iv. What is the flux through the cylinder if its length increased to l=0.8m? v. What is the electric field intensity at radius r= 0.32 and l=0.8m? vi. Briefly explain the effect of an increase or decrease of radius and length on the electric field intensity.
2. A uniformly charged, straight filament 2.0 m in length has a total positive charge of 3.0 ??. An uncharged cardboard cylinder 0.5 cm in length and 5.0 cm in radius surrounds the filament at its center, with the filament as the axis of the cylinder. Using reasonable approximations, find (a) the electric field at the surface of the cylinder and (b) the total electric flux through the cylinder.
1 a) A flat circle radius 18cm is placed in a uniform electric field of magnitude 5.8 x 102 N/C. What is the electric flux through the circle when its face is (i) perpendicular to the field lines, (ii)at 45 degrees to the field lines, and (iii) parallel to the field lines? b) An electric field with a magnitude of 3.50 x 103 N/C is applied along the x axis. Calculate the electric flux through a rectangular plane 0.350 m wide and 0.700m long assuming that (i) the plane is parallel to the yz plane; (ii) the plane is parallel to the xy plane; (c) the plane contains the y axis, and its normal makes an angle of 40.0 degrees with the x axis.