Compare the electric flux in a cubical surface of a side 10cm and spherical surface of radius 10 cm, when a charge of 5µC is enclosed by them. ii. How does the electric field enclosing a given charge vary when the area enclosed by the charged is doubled. Assuming the electric flux is constant

Compare the electric flux in a cubical surface of a side 10cm and spherical surface of radius 10 cm, when a charge of 5µC is enclosed by them. ii. How does the electric field enclosing a given charge vary when the area enclosed by the charged is doubled. Assuming the electric flux is constant

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter25: Gauss’s Law

Section: Chapter Questions

Problem 48PQ

See similar textbooks

Similar questions

The surface charge density on a long straight metallic pipe is . What is the electric field outside and inside the pipe? Assume the pipe has a diameter of 2a.
The nonuniform charge density of a solid insulating sphere of radius R is given by = cr2 (r R), where c is a positive constant and r is the radial distance from the center of the sphere. For a spherical shell of radius r and thickness dr, the volume element dV = 4r2dr. a. What is the magnitude of the electric field outside the sphere (r R)? b. What is the magnitude of the electric field inside the sphere (r R)?
Two infinite, nonconducting sheets of charge are parallel to each other as shown in Figure P19.73. The sheet on the left has a uniform surface charge density , and the one on the right hits a uniform charge density . Calculate the electric field at points (a) to the left of, (b) in between, and (c) to the right of the two sheets. (d) What If? Find the electric fields in all three regions if both sheets have positive uniform surface charge densities of value .
A thin, square, conducting plate 50.0 cm on a side lies in the xy plane. A total charge of 4.00 108 C is placed on the plate. Find (a) the charge density on each face of the plate, (b) the electric field just above the plate, and (c) the electric field just below the plate. You may assume the charge density is uniform.
A solid, insulating sphere of radius a has a uniform charge density throughout its volume and a total charge Q. Concentric with this sphere is an uncharged, conducting, hollow sphere whose inner and outer radii are b and e as shown in Figure P24.45. We wish to understand completely the charges and electric fields at all locations. (a) Find the charge contained within a sphere of radius r a. (b) From this value, find the magnitude of the electric field for r a. (c) What charge is contained within a sphere of radius r when a r b? (d) From this value, find the magnitude of the electric field for r when a r b. (e) Now consider r when b r c. What is the magnitude of the electric field for this range of values of r? (f) From this value, what must be the charge on the inner surface of the hollow sphere? (g) From part (f), what must be the charge on the outer surface of the hollow sphere? (h) Consider the three spherical surfaces of radii a, b, and c. Which of these surfaces has the largest magnitude of surface charge density? Figure P24.45 Problems 43 and 47.
A dosed surface with dimensions a = b= 0.400 111 and c = 0.600 in is located as shown in Figure 124.63. The left edge of the closed surface is located at position x = a. The electric field throughout the region is non- uniform and is given by E = (3.00 + 2.00x2)i N/C, where x is in meters. (a) Calculate the net electric flux leaving the closed surface. (b) What net charge enclosed by the surface?
A solid, insulating sphere of radius a has a uniform charge density throughout its volume and a total charge Q. Concentric with this sphere is an uncharged, conducting, hollow sphere whose inner and outer radii are b and c as shown in Figure P19.75. We wish to understand completely the charges and electric fields at all locations. (a) Find the charge contained within a sphere of radius r a. (b) From this value, find the magnitude of the electric field for r a. (c) What charge is contained within a sphere of radius r when a r b? (d) From this value, find the magnitude of the electric field for r when a r b. (e) Now consider r when b r c. What is the magnitude of the electric field for this range of values of r? (f) From this value, what must be the charge on the inner surface of the hollow sphere? (g) From part (f), what must be the charge on the outer surface of the hollow sphere? (h) Consider the three spherical surfaces of radii a, b, and c. Which of these surfaces has the largest magnitude of surface charge density?
i.Compare the electric flux in a cubical surface of a side 10cm and spherical surface of radius 10 cm, when a charge of 5µC is enclosed by them. ii.The electric field intensity of a point charge can be infinite. Where does this occur and what is the physical meaning of this ?
A hollow, conducting sphere with an outer radius of 0.240 mm and an inner radius of 0.200 mm has a uniform surface charge density of +6.27 ×10−6 C/m2. A charge of -0.600 μC is now introduced into the cavity inside the sphere. a. What is the new charge density on the outside of the sphere? b. Calculate the strength of the electric field just outside the sphere. c. What is the electric flux through a spherical surface just inside the inner surface of the sphere?
The following diagram shows a solid insulating sphere with a radius "a" and a charge +3Q surrounded by a spherical conducting shell with inner radius "b", and outer radius "c", and a net charge -20. What is the electric field (direction and magnitude) in the region where a
A charged rod is placed on the x-axis between x = d and x = d + L. Its charge density is not uniform, and is given by 1 = cx, where c is a positive constant. a. What are the Sl units of c? b. Calculate the total charge of the rod (hint: Q =/dg). c. Calculate the electric field at x = 0. d. Suppose L = 2d. If the rod is replaced by a point charge with the same total charge (calculated in part b), where should the point charge be located in order to give the same electric field at x = 0 as for the rod. e. A proton is placed at x = 0 and is released from rest. Describe the trajectory of the proton. Is the acceleration of the proton constant?
Calculate the absolute value of the electric flux for the following situations (In all case provide your answer in N m2/C): a. A constant electric field of magnitude 300 N/C at a 30 degrees angle with respect to the flat rectangular surface shown in the Figure above. b. A uniform electric field E = (70 i + 90 k) N/C through a 4 cm ×5 cm in the x-y plane. c. A uniform electric field E = (−350 i + 350 j + 350 k) N/C through a disk of radius 3 cm in the x-z plane.