The figure shows a Gaussian surface in the shape of a cube with edge length 1.70 m. What are (a) the net flux through the surface and (b) the net charge denc enclosed by the surface if the electric field in the region is in the positive y direction and has a magnitude that is given by E= 4.50y N/C? What are (c) the net flux and (d) net enclosed charge if the electric field is in the xy plane and has components Ex = -4.73 N/C and Ey = (8.99 +4.50y) N/C? (a) Number i (b) Number i (c) Number i (d) Number i Units Units Units Units MON

The figure shows a Gaussian surface in the shape of a cube with edge length 1.70 m. What are (a) the net flux through the surface and (b) the net charge denc enclosed by the surface if the electric field in the region is in the positive y direction and has a magnitude that is given by E= 4.50y N/C? What are (c) the net flux and (d) net enclosed charge if the electric field is in the xy plane and has components Ex = -4.73 N/C and Ey = (8.99 +4.50y) N/C? (a) Number i (b) Number i (c) Number i (d) Number i Units Units Units Units MON

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter6: Gauss's Law

Section: Chapter Questions

Problem 70P: A point charge q=5.01012 C is placed at the center of a spherical conducting shell of inner radius...

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The figure shows a Gaussian surface in the shape of a cube with edge length 1.60 m. What are (a) the net flux through the surface and (b) the net charge qenc enclosed by the surface ifthe electric field in the region is in the positive y direction and has a magnitude that is given by E = 3.93y N/C? What are (c) the net flux and (d) net enclosed charge if the electric field is in the xy plane and has components Ex = -4.66 N/C and Ey = (6.79 + 3.93y) N/C?
Now let's use E = EA cos o to calculate the electric flux through a disk with radius 0.10 m. The disk is oriented with its axis (the line through the center, perpendicular to the disk's surface) at an angle of 30° to a uniform electric field E with magnitude 2.0 x 10³ N/C. (a) What is the total electric flux through the disk? (b) What is the total flux through the disk if it is turned so that its plane is parallel to E? (c) What is the total flux through the disk if it is turned so that its axis (marked by the dashed line perpendicular to the disk in the figure) is parallel to E? 0.10 m SOLUTION SET UP AND SOLVE Part (a): The area is A = T(0.10 m)² = 0.0314 m². From E = EA cos , ΦΕ = √30 ▼ 30° (2.0 x 10³ N/C) (0.0314 m²) (cos 30°) 54 N·m²/C Part (b): The axis of the disk is now perpendicular to E, so = 90°, cos = 0, and PE = 0. = Part (c): The axis of the disk is parallel to E, so = 0, cos = 1, and, from EEA cos , ΦΕ (2.0× 10³ N/C) (0.0314 m²)(1) = 63 N m²/C Part A Practice Problem: E…
The total electric flux through a closed cylindrical (length = 1.2 m, diameter = 0.20 m) surface is equal to -5.0Nx m 2/C. Determine the net charge within the cylinder.
A cube of side L = 2.2 m lies in a region where the electric field is given by 3.G take → 3.6 - 3.6 in Positton of 3 x = 1.5 m. (d) What is the flux through the bottom face of the cube? N m2/c (e) What is the flux through the front face of the cube? N. m2/C (f) What is the flux through the back face of the cube? N.m2/c (g) What is the net flux through the cube? IN m2/c
The electric field everywhere on the surface of a thin, spherical shell of radius 0.700 m is of magnitude 855 N/C and points radially toward the center of the sphere. (a) What is the net charge within the sphere's surface? 1.16e-8 If a positive charge exists inside the sphere, what direction would the electric field point outside the sphere? nC (b) What is the distribution of the charge inside the spherical shelI? O The positive charge has a spherically symmetric charge distribution. O The negative charge has a spherically symmetric charge distribution. O The negative charge has an asymmetric charge distribution. O The positive charge has an asymmetric charge distribution.
D3.4. Find the total electric flux leaving the spherical surface r = 2.5 m given the charge configuration: (a) Q = 2-* nC_on the x axis at x = 0, ±1, ±2,. m; (b) a line charge PL = 1/(z² + 1) nC/m on the z axis; (c) a surface charge ps = 1/ (x² + y² + 4) nC/m² on the z = 0 plane.
The earth (a conductor) has a net electric charge. The resulting electricfield near the surface has an average value of about 150 N/C, directedtoward the center of the earth. What is the corresponding surface charge density?
A disk of radius 132 mm is oriented with its normal unit vector at 30º to a uniform electric field of magnitude 2.23 x 103N/C. (a) What is the electric flux through the disk? (b) What is the flux through the disk if n is parallel to E?
A non-uniform thin rod is bent into an arc of radius R. The linear charge density λ of the rod depends on θ and is given byλ= λ0/cos θwhere λ0 is a positive constant. The arc extends from θ = π/2 to θ = 3π/2 Sketch the direction of the resultant electric field at the origin.Calculate the magnitude of the electric field E⃗ .
A uniformly charged conducting sphere of 1.2 m diam- ter. has a surface charge density of 8.1 µC/m?. (a) Find the net large on the sphre. (b) What is the total electric flux leaving the surface of the sphere?
A non-uniform thin rod is bent into an arc of radius R. The linear charge density λ of the roddepends on θ and is given byλ =λ0/cos θwhere λ0 is a positive constant. The arc extends from θ =π/4 to θ =3π/4as shown a)Sketch the direction of the resultant electric field at the origin.b) Calculate the magnitude of the electric field E->.
SAR A A Gaussian surface has the form of a cube. If 4 nC of charge is placed inside the cube and 3 nC of charge is placed outside the cube, what is the electric flux through the sides of the cube? Answer in N.m²/C. 755