Which of the followings can be considered as the electric flux of a non-uniform electric field passing through an open surface? Answer for participation grade. \(\vec{E}.\Delta \vec{A}\) \(\Vim_{N\to\infty}\sum_{i=1}^{N}\vec{E_i}.\Delta \vec{A_i} ) |\(\iint_{Surface}\vec{E}. d\vec{A}\) \(\iint_{Surface}\vec{E}. \hat n dA\)

Which of the followings can be considered as the electric flux of a non-uniform electric field passing through an open surface? Answer for participation grade. \(\vec{E}.\Delta \vec{A}\) \(\Vim_{N\to\infty}\sum_{i=1}^{N}\vec{E_i}.\Delta \vec{A_i} ) |\(\iint_{Surface}\vec{E}. d\vec{A}\) \(\iint_{Surface}\vec{E}. \hat n dA\)

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN:9781305116399

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter24: Gauss’s Law

Section: Chapter Questions

Problem 24.48AP: Consider a plane surface in a uniform electric field as in Figure P24.48, where d = 15.0 cm and =...

See similar textbooks

Similar questions

A solid conducting sphere of radius 2.00 cm has a charge 8.00 μC. A conducting spherical shell of inner radius 4.00 cm and outer radius 5.00 cm is concentric with the solid sphere and has a total charge −4.00 μC. Find the electric field at (a) r = 1.00 cm, (b) r = 3.00 cm, (c) r = 4.50 cm, and (d) r = 7.00 cm from the center of this charge configuration.
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?
Two solid spheres, both of radius 5 cm, carry identical total charges of 2 C. Sphere A is a good conductor. Sphere B is an insulator, and its charge is distributed uniformly throughout its volume. (i) How do the magnitudes of the electric fields they separately create at a radial distance of 6 cm compare? (a) EA EB = 0 (b) EA EB 0 (c) EA = EB 0 (d) 0 EA EB (e) 0 = EA EB (ii) How do the magnitudes of the electric fields they separately create at radius 4 cm compare? Choose from the same possibilities as in part (i).
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.
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.
An electric field of magnitude 3.42 kN/C is applied along the x axis. Calculate the electric flux through a rectangular plane 0.350 m wide and 0.700 m long if the following conditions are true. (a) The plane is parallel to the yz plane. N · m2/C(b) The plane is parallel to the xy plane. N · m2/C(c) The plane contains the y axis, and its normal makes an angle of 37.6° with the x axis. N · m2/C
A uniform charge density of 660 nC/m3 is distributed throughout a spherical volume of radius 6.00 cm. Consider a cubical Gaussian surface with its center at the center of the sphere. (a) What is the electric flux through this cubical surface if its edge length is 2.30 cm?___________N · m2/C(b) What is the electric flux through this cubical surface if its edge length is 17.0 cm? ___________N · m2/C
An electric field of magnitude 3.36 kN/C is applied along the x axis. Calculate the electric flux through a rectangular plane 0.350 m wide and 0.700 m long if the following conditions are true. (a) The plane is parallel to the yz plane. N · m2/C (b) The plane is parallel to the xy plane. N · m2/C (c) The plane contains the y axis, and its normal makes an angle of 35.0° with the x axis. N · m2/C
Consider the uniform electric field E = (3.5 j + 3.5 k) × 103 N/C. a) Calculate the electric flux through a circular area of radius 1.75 m that lies in the yz-plane. Give your answer in N·m2/C. b) Repeat the electric flux calculation for the circular area for the case when its area vector is directed at 45° above the xy-plane. Give your answer in N·m2/C.
Consider the uniform electric field E = (3.0ĵ + 7.0) ✕ 103 N/C. (a) What is its electric flux (in N · m2/C) through a circular area of radius 2.3 m that lies in the yz-plane? (Enter the magnitude.) (b) What is its electric flux (in N · m2/C) through a circular area of radius 2.3 m that lies 45.0° above the xy-plane? (Assume that the unit normal vector is n̂ = 1/(2)1/2(î+k). )
Consider the uniform electric field E = (3.5 jˆ + 3.5 kˆ) × 103 N/C. A) Calculate the electric flux through a circular area of radius 1.75 m that lies in the yz-plane. Give your answer in N·m2/C. B) Repeat the electric flux calculation for the circular area for the case when its area vector is directed at 45° above the x-axis (pointing in the direction of iˆ+kˆ). Give your answer in N·m2/C.
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.