Given a point charge q1= 500 pC at (-1,0,0) and q==100 pC at (0,1,0) in free space. Determine the vector electric field intensity at points (0,0,1) and (0,0,0)
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- An insulating sphere of radius R has a non-uniform charge density given byp = Ar 2 for r R. Find the electric field both inside and outside the sphere.A charge distribution creates the following electric field throughout all space: E(r, 0, q) = (3/r) (r hat) + 2 sin cos sin 0(theta hat) + sin cos p (phi hat). Given this electric field, calculate the charge density at location (r, 0, p) = (ab.c).In Figure (a) below, a particle of charge +Q produces an electric field of magnitude Epart at point P, at distance R from the particle. In Figure (b), that same amount of charge is spread uniformly along a circular arc that has radius R and subtends an angle 8. The charge on the arc produces an electric field of magnitude Earc at its center of curvature P. For what value of 0 (in º) does Earc = 0.75Epart? (Hint: You will probably resort to a graphical solution.) +Q |▬▬▬R—-|| Number i P (a) AR +Q}/0/2/ (b) Units ° (degree:
- Figure (a) shows a circular disk that is uniformly charged. The central z axis is perpendicular to the disk face, with the origin at the disk. Figure (b) gives the magnitude of the electric field along that axis in terms of the maximum magnitude Em at the disk surface. The z axis scale is set by zs = 24.0 cm. What is the radius of the disk?Imagine that in a region in space you detect a spherical symmetric electric field that increases quadratically with the distance from the center, E (r) = a · r2 . er, where a is a constant. How is the the charge distributed in that region, i.e. find p (r). increases linearly radially outward decreases linearly radially outward uniformProblem 3: UP 6.53 Charge is distributed uniformly with a density p throughout an infinitely long cylindrical volume of radius R. Show that the field of this charge distribution is directed radially with respect to the cylinder and that E(s) = ps 2€0 PR² 2€ S S≤R SZR