Problem 4 A point charge sitting at the origin produces a radial electric field E=k, where r is the usual coordinate in spherical coordinates. What is the flux (SE-da) through a circular disk of radius 1 in the z = 2 plane?
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- An uncharged nonconductive hollow sphere of radius 15.0 cm surrounds a 13.0 μC charge located at the origin of a cartesian coordinate system. A drill with a radius of 1.00 mm is aligned along the z axis, and a hole is drilled in the sphere. Calculate the electric flux through the hole. N-m²/C Need Help? Submit Answer Read It2. Consider an insulating spherical shell of inner radius a and outer radius b. a. If the shell has a net charge Q uniformly distributed over its volume, find the vector electric field in all regions of space (r b) as a function of r. b. Now assume that the shell has a non-uniform charge density given by r2 p(r) = Po ab What is the net charge of the shell? c. For the charge distribution in part (b), find the vector electric field in all regions of space (r b) as a function of r.c) For the same cylindrical shell as in the previous problem, draw and label a Gaussian surface and use Gauss's Law to find the radial electric field in the region r > R2. You may take the positive direction as outward. 0 E (r > R2) =
- Problem 1 The figure below shows three concentric conducting thin spherical shells: • Sphere A of radius R₁ = 6 cm and a total charge QA = 2 nc. • Sphere-B of radius Rg = 21 cm and a total charge QB = -4 nC ⚫ Sphere-C of radius Rc 78 cm and a total charge Qc Qc is an unknown charge. Re RB RA B 1 What is the net electric flux o through the spherical surface of radius r = 13 cm from the center of the spheres? 2 spheres? E= 3. spheres? E= What is the magnitude of the electric field E at r = 59 cm from the center of the What is the magnitude of the electric field E at r=2 cm from the center of the 4. If the magnitude of the electric field is E 192 N/C at r = 93 cm from the center of the spheres, calculate Qc. Qe=2. Find the electric field at a distance z above the center of a ring of radius a that has a uniform linear charge density A. Compute (only) the Er and Ez components of a cylindrical coordinate system.answer please v
- Problem 3 Consider a ring and a disk parallel to each other with their central axes along a common line. The disk, located at the origin (point O), has a uniform charge density σ =-5 nC/m² and radius Rdisk 11 m. The ring, located at x=d, has a uniform charge Gring -1 nc and radius Ring -9 m. The magnitude of the total electric field at the center of the ring (point A) is E-157 N/C Disk Ring d Ө Find the charge of the disk disk B Find the linear charge density of the ring Aring" Find the distance between the ring and the disk d= The total electric field vector Etat at x = d is in the direction. The total electric field vector Etotal at x=d+2 is in the direction. Find the electric field magnitude at point B located 9 m from point A, due to the ring only Ering 7. Find the electric field magnitude at x = 15 m from the origin, due to the disk only Ediskric Fields due to Point Charges An uneven dipole is located along the x-axis and centered on the origin as drawn. Its positive end has twice as much 2a 1 charge as its negative end. Each charge is located a distance a away from the origin along the x-axis. In terms of k, q, and a, find the electric field vector only at а POINT 1 and POINT 2. Your answers should be simplified 2 numerically until they are in the form: E = (0.123, -2.345), for example. -2a +29 2aa This is a conducting outer shell of inner radius a and outer radius b. There's a point charge Q in the middle. The shell itself has total charge -3Q. Use spherical gaussian surfaces to find the electric field for rb. What is the surface charge density on the inside of the shell and on the outside of the shell? Draw the E-field lines. -30