If D (2y2+z).ax+ 4xy.ay + X.az C/m2, find:
a) The volume charge density at (-1, 0, 2)
b) The total charge enclosed by the cube: 0≤x≤l, 0≤y≤1, 0≤z≤1,
Problem 4 (30 points) If D= (2y + 2)ax + 4.ryay + ra, C/m², find (a) (10 points) The volume charge density at (-1,0, 3) (b) (10 points) The flux through the cube defined by 0 <r <1,0 Sy<1,02<1 (c) (10 points) The total charge enclosed by the cube
Q8) Let D = 4 zy ax - 4 y2 a, C/m2, find the flux through surface 0 <y< 2,0 <z < 2, x = 2.
Find the mass of thc solid region bounded by the parabolic surfaces z - 16- 2r2-2y and 2x2 + 2y2 if the density of the solid at the point (x, y, z) is δ(z, y, z) = Vz? + y2 Find the mass of thc solid region bounded by the parabolic surfaces z - 16- 2r2-2y and 2x2 + 2y2 if the density of the solid at the point (x, y, z) is δ(z, y, z) = Vz? + y2
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...
please answer question 3. 1. Find the integral of the function f(x, y, z)xy+2 z over the region enclosed by the planex +y+z 2 2. Find the volume and center of gravity for the solid in the first octant (x 20, y 20, z20) bounded by 3. Find the center of mass for the solid hemisphere centered at the origin with radius a if the density and the coordinate planes z0,y 0, and x0 the parabolic ellipsoid Z-4-r-y. function is...
Find the equation for a plane containing 3 points: A(2, 2,1) in the form: ax+by+cz+d = 0 C(0, -2,1). Put the plane equation B(3,1, 0) х — 3 z+2 = y+5 = 2 L: Find the intersection point between 2 lines whose symmetric equations are: 4 х-2 L, : у-2 = z-3 -3 Find the parametric equation for a line that is going through point A(2,4,6) and perpendicular to the plane 5х-3у+2z-4%3D0. Name: x-3y4z 10 Find the distance between 2...
about the olgin that has Tadius < InetelS. 3.2 The surface charge density throughout the z = 0 plane is ps-1/plc/m2], where p is specified in meters. Find the total charge Q that is contained in a circulai disk of radius 1.0 [m] that is centered about the origin in the same plane. 3.3 The current density in a region is J = xy [A/m2], where x and y are specified in meters. Find the current I flowing towards increasing...
([8]) Find the point on the surface z = x2 + 2y2 where the tangent plane is orthogonal to the line connecting the points (3,0,1) and (1,4,0). Useful formula: The curvature of the plane curve y = f(x) is given by k(x) = \f"|(1 + f/2)-3/2, ([9]) Use spherical coordinates to find the volume of the solid situated below x2 + y2 + 2 = 1 and above z= V x2 + y2 and lying in the first octant.
5) In free space, D 2ya,+4xya, - az mC/m2. Find the total charge stored in the region 1 <x < 2,1<y< 2, -1<z<4.
4 + x2 + (y-2)2 and the planes z = 1, x =-2, x Find the volume of the solid enclosed by the paraboloid z 2, y 0, and y 4. 4 + x2 + (y-2)2 and the planes z = 1, x =-2, x Find the volume of the solid enclosed by the paraboloid z 2, y 0, and y 4.