A point charge q is located at the origin. Consider the electric field flux through a circle a distance 6 um from q, subtending an angle 20, where = 35°. The electric flux is equal to A. Find the proportionality constant A in the following cases: Επ a. Calculate the flux through the flat disk bounded by the circle. b. Calculate the flux through the spherical cap (with the sphere centered at the origin) bounded by the circle.
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- Q.1. Given a uniform electric field É = 5 × 10³ î N/C. Find the flux of this field through a square of side 10 cm on a side whose plane is parallel to the y-z plane. What would be the flux through the same square if the plane makes a 30° angle with the x-axis ?A solid insulating plastic sphere of radius a carries atotal net positive charge 3Q uniformly distributed throughout its interior.The insulating sphere is coated with a metallic layer of inner radius a andouter radius 2a. The conducting metallic layer carries a net charge of -2Q. Apply Gauss’s law to find the magnitude of the electric field in the region r < a. Inthe figure, draw the Gaussian surface you are using, and indicate on that surface the direction of anyvectors which appear in the mathematical expression of Gauss’s law. Express your answer in terms ofa, Q, r, and ε0. (If you get an expression involving ρ, substitute it from above to re-express youranswer in terms of the stated variables.)A point charge is located at the origin. Centered along the x axis is a cylindrical closed surface of radius 10 cm with one end surface located at x = 2 m and the other end surface ļocated at x = 2.5 m. If the magnitude of the electric flux through the surface at x = 2 m is 4 N.m/C, what is the magnitude of the electric flux through the surface at x = 2.5 m? Select one: 2. a. 1.8 N. m/C 2 b. 2.56 N. m /C C. 5.0 N. m /C d. 1.0 N. m/C e. 4.0 N. m /C O O O
- In free space, let D = 8xyz*ax + 6x²z*ãy + 16x?yz'a, pC/m?. a. Find the total electric flux passing through the rectangular surface z = 2, 0Use the following constants if necessary. Coulomb constant, k = 8.987 x 10° N - m² /C². Vacuum permitivity, eo = 8.854 x 10-12 F/m. Magnitude of the Charge of one electron, e = -1.60217662 x 10-19 C. Mass of one electron, me = 9.10938356 x 10 31 kg. Unless specified otherwise, each symbol carries their usual meaning. For example, uC means micro coulomb. Suppose you have q = 20 µC charge placed at the orign of your coordinate system.Could you solve the question in the picture shown?A uniformly charged conducting sphere of 1.2m diameter has a surface charge density of 1.8µC/m?. Find the net charge on the sphere. b. What is the total electric flux leaving the sphere? What is the magnitude of the electric field at point P, 0.7m from the center of the sphere?Use Gauss's law to find the electric field at the field point in the following case. The distance between the field point and the surface of the conductor is d. A semi-infinitely large conductor with surface charge density o. Field point d х Conductorwhat is the magnitude.of the electric flux of a constant E of 4 n/c in the z direction through a rectangle with surface area 4m^2 in the xy planePositive charge is distributed in a sphere of radius R that is centered at the origin. Inside the sphere, the electric field is Ē(r) = kr-1/4 f, where k is a positive constant. There is no charge outside the sphere. a) How is the charge distributed inside the sphere? In particular, find an equation for the charge density, p. b) Determine the electric field, E(r), for r > R (outside the sphere). c) What is the potential difference between the center of the sphere (r = 0) and the surface of the sphere (r = R)? d) What is the energy stored in this electric charge configuration?A nonconducting spherical shell has an inner radius A, an outer radius B, and a nonuniform charge density given by p(r) sindr where B and a are constants. r3 The inner spherical shell is surrounded with a concentric nonconducting spherical shell that has an inner radius B, outer radius C, and a uniform charge density such that the electric field for r> C is zero. What is the total charge contained in the inner spherical shell? b. What is the charge density in the outer spherical shell? c. What is the magnitude of the electric field for AYour answer is partially correct. Try again. A long straight wire has fixed negative charge with a linear charge density of magnitude 5.3 nC/m. The wire is to be enclosed by a coaxial, thin-walled, nonconducting cylindrical shell of radius 2.0 cm. The shell is to have positive charge on its outside surface with a surface charge density o that makes the net external electric field is zero. Calculate o. ot Number o.00000oabo422 Units bt C/m^2 the tolerance is +/-5% the toleranICE IS T/-5770SEE MORE QUESTIONSRecommended textbooks for youPhysics for Scientists and Engineers: Foundations…PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningPhysics for Scientists and Engineers: Foundations…PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning