Find the flux of F~ = ~i + ~j + 5~k through the rectangular plate lying in the plane z = x + 8 with two opposing corners at (0, 0, 8) and at (2, 2, 10).
Find the flux of F~ = ~i + ~j + 5~k through the rectangular plate lying...
04: Use a surface integral to find the outward flux of F = x i + y j + z k through the surface of the sphere za. 04: Use a surface integral to find the outward flux of F = x i + y j + z k through the surface of the sphere za.
Let F(x,y,z) = ztan-1(y2) i + z3ln(x2 + 2) j + z k. Find the flux of F across the part of the paraboloid x2 + y2 + z = 8 that lies above the plane z = 4 and is oriented upward.
5. Consider a rectangular plate with one of the sides of length a lying along the y axis and one of the sides of length b lying along the r axis. The interior of the plate is depleted of electric charge. Only the side lying along the line x = 0 is charged so that the electric potential on that side is held constant at Vo, for 0 < y <a, while the other sides of the plate are kept...
Find the flux of the field F(x,y,z)=z² i +xj - 3z k outward through the surface cut from the parabolic cylinder z=1-yby the planes x = 0, x=2, and z=0. The flux is (Simplify your answer.)
A rectangular loop with current I = 36A is placed in the xy plane in free space as shown below. Find the z-component of the magnetic flux density Bzaz at point P(0, 0, z). The four corners of the rectangular loop are (a, -d, 0), (a, b, 0), (-c, b, 0), (-c, -d, 0). Assume a=5m, b=3m, c=3m, d=2m, z=9m. 5. (20 points) A rectangular loop with current I 36A is placed in the xy plane in free space as...
8.) (12 pts.) Find the Flux of the Vector Field F(x, y, z) = (z)i + (x)} + (y)k through Surface S, which is that portion of the plane 2++2 = 3 is the 1st octant, and r is the unit normal vector pointing away from the origin.
10. Use Gauss Divergence Theorem to find the flux for a flow field with v-(r')i+(y3)/t(e)k through the surface of a solid constructed by slicing the cylinder + y 9 with the plane x+z-5.Clearly construct the triple integral of the order dz dy dx but you do not need to evaluate it x+z-5 10. Use Gauss Divergence Theorem to find the flux for a flow field with v-(r')i+(y3)/t(e)k through the surface of a solid constructed by slicing the cylinder + y...
Find the flux of the vector field F = xi + e j + zk through the surface S given by that portion of the plane 7x + y + 3z = 5 in the first octant, oriented upward.
A parallel plate capacitor is made using two rectangular plates with dimension 1.1mX0.6m containing two dielectrics between the conducting plates. One plate is at x-0m plane and the other plate is at x -3m plane. Let -2.0 for 0 < z < 0.5 m, and ε,2 = 4.5 for 0.5m< z < 0.6m. Draw this capacitor and find the capacitance. A parallel plate capacitor is made using two rectangular plates with dimension 1.1mX0.6m containing two dielectrics between the conducting plates....
(1 point) Compute the flux of the vector field F(x, y, z) = 3 + 2+ 2k through the rectangular region with corners at (1,1,0), (0,1,0), (0,0,2), and (1,0, 2) oriented in the positive Z-direction, as shown in the figure. 2.0 1.5 Flux = 0.0 12.0 11.5 2 1.0 0.5 0.0 2.94. god. og 9.500.00 [Enable Java to make this image interactive] (Drag to rotate) (1 point) Compute the flux of the vector field F(t, y, z) = 31 +23...