Homework Answers
There should be 4 triangluar surfaces are arranged to make a closed surface that can act like a gaussian suface enclosed charge q.
Total Flux = q/ϵ
or Flux through 4 surfaces = q/ϵ
Flux through each triangle = q/4ϵ
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2. A charge q sits at the origin. What is the flux of E through a...
(3) A point charge of 10 nC sits at the origin. [5 pts] (a) Sketch the...
(3) A point charge of 10 nC sits at the origin. [5 pts] (a) Sketch the point charge and it electric field lines. (b) Now sketch a spherical surface of radius 2 m that sits on the x-axis at x-4m. Assume there is no charge on the spherical surface. (Sketch in 2D i.e. include just the projection of the sphere on the x-y plane.) (c) How many of your drawn lines enter the spherical surface? (d) How many lines leave...
A point charge q = +1 μC is located at the origin. What is the flux...
A point charge q = +1 μC is located at the origin. What is the flux of the electric field of this charge through a square whose corners are (x, y, z) = (1, 1, 1), (-1, 1, 1), (-1, 1, -1), and (1, 1, -1)? a. 0 b. 1.0 × 104 N m2/C c. 11.3 × 104 N m2/C d. 0.5 × 104 N m2/C e. 1.9 × 104 N m2/C
2. A point charge q sits at the origin and a point charge 4q is located...
2. A point charge q sits at the origin and a point charge 4q is located at (r, y, z) (d, d,-d), where d is some arbitrary unit of length. Determine the location (not infinitely far away) at which the electric field vanishes. 3. Three point charges q, 24, and -3q are placed at the corners of an equilateral triangle of side length L as shown in the figure below: 2q 3q a) What is the total force on the...
electric field and flux 1.16 Gauss's law and two point charges* (a) Two point charges q...
electric field and flux
1.16 Gauss's law and two point charges* (a) Two point charges q are located at positions x = ±1. At points close to the origin on the x axis, find Ex. At points close to the origin on the y axis, find Ey. Make suitable approximations with x <E and y< e (b) Consider a small cylinder centered at the origin, with its axis along the x axis. The radius is ro and the length is...
Physics 222 Name: Task 7: Electric Flux and Gauss's Law Objective: To illustrate the concept of...
Physics 222 Name: Task 7: Electric Flux and Gauss's Law Objective: To illustrate the concept of "flux" and to avoid performing the integral in Gauss's Law for Electricity 1. A cylindrical Gaussian surface (length = 0.80 m, diameter = 0.20 m) is drawn in an area of a non-uniform electric field, directed at all points in the ex direction (i.e. horizontal to the right). The field varies with x, but does not vary with respect to y or z. The...
ASAP please 5. Question 4.22 Given the electric flux density D= x2(x + y) +9(3x –...
ASAP please
5. Question 4.22 Given the electric flux density D= x2(x + y) +9(3x – 2y) 2 Determine the following: a. Pv by applying Eq. (4.26). b. The total charge enclosed in a cube 2 m on a side, located in the first octant with three of its sides coincident with the x-y-and z axes and one of its corners at the origin. c. The total charge Q in the cube, obtained by applying Eq. (4.29). (This can be...
A point charge -q is located at the origin. The point charge is surrounded by a...
A point charge -q is located at the origin. The point charge is surrounded by a ring with uniform line charge density λ and radius a. The charged ring sits in the x-y plane and is centered on the origin. a) Calculate the electric potential along the z-axis using a reference point at ∞ using Coulomb’s law for V. (i.e. do not find the electric field first.) b) Use E = −∇V to calculate the electric field along the z-axis....
2. A point charge q sits at the origin and a point charge -4 is located...
2. A point charge q sits at the origin and a point charge -4 is located at (, y, z) (d,d,-d), where d is some arbitrary unit of length. Determine the location (not infinitely far away) at which the electric field vanishes.
A point charge q sits at the origin and a point charge -4q is located at...
A point charge q sits at the origin and a point charge -4q is located at (x; y; z) = (d; d;-d), where d is some arbitrary unit of length. Determine the location (not infinitely far away) at which the electric field vanishes.
An electric flux produced by a point charge q though sphere of radius r is фо(E)....
An electric flux produced by a point charge q though sphere of radius r is фо(E). Describe how this flux would change in the following cases: a) The charge is triplet. 6. b) The volume of the sphere is doubled. c) The surface is changed to a cube with side of length / and the charge placed on the center. d) The charge is moved away from the center, but still inside the cube. e) The charge is outside the...
(3) A point charge of 10 nC sits at the origin. [5 pts] (a) Sketch the point charge and it electric field lines. (b) Now sketch a spherical surface of radius 2 m that sits on the x-axis at x-4m. Assume there is no charge on the spherical surface. (Sketch in 2D i.e. include just the projection of the sphere on the x-y plane.) (c) How many of your drawn lines enter the spherical surface? (d) How many lines leave...
2. A point charge q sits at the origin and a point charge 4q is located at (r, y, z) (d, d,-d), where d is some arbitrary unit of length. Determine the location (not infinitely far away) at which the electric field vanishes. 3. Three point charges q, 24, and -3q are placed at the corners of an equilateral triangle of side length L as shown in the figure below: 2q 3q a) What is the total force on the...
electric field and flux
1.16 Gauss's law and two point charges* (a) Two point charges q are located at positions x = ±1. At points close to the origin on the x axis, find Ex. At points close to the origin on the y axis, find Ey. Make suitable approximations with x <E and y< e (b) Consider a small cylinder centered at the origin, with its axis along the x axis. The radius is ro and the length is...
Physics 222 Name: Task 7: Electric Flux and Gauss's Law Objective: To illustrate the concept of "flux" and to avoid performing the integral in Gauss's Law for Electricity 1. A cylindrical Gaussian surface (length = 0.80 m, diameter = 0.20 m) is drawn in an area of a non-uniform electric field, directed at all points in the ex direction (i.e. horizontal to the right). The field varies with x, but does not vary with respect to y or z. The...
ASAP please
5. Question 4.22 Given the electric flux density D= x2(x + y) +9(3x – 2y) 2 Determine the following: a. Pv by applying Eq. (4.26). b. The total charge enclosed in a cube 2 m on a side, located in the first octant with three of its sides coincident with the x-y-and z axes and one of its corners at the origin. c. The total charge Q in the cube, obtained by applying Eq. (4.29). (This can be...
2. A point charge q sits at the origin and a point charge -4 is located at (, y, z) (d,d,-d), where d is some arbitrary unit of length. Determine the location (not infinitely far away) at which the electric field vanishes.
An electric flux produced by a point charge q though sphere of radius r is фо(E). Describe how this flux would change in the following cases: a) The charge is triplet. 6. b) The volume of the sphere is doubled. c) The surface is changed to a cube with side of length / and the charge placed on the center. d) The charge is moved away from the center, but still inside the cube. e) The charge is outside the...
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