Let H = (exy+7z+5)+10] + (7z + exy)k. S is the square of side 4 on the plane z = x oriented downward. Z (a) Find dA = i-k )dx dy (b) Set up and find the flux of H through S. | H· A = 4 0 4√2 dx dy
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- A uniform electric field with a magnitude of 1.25x10^5 N/C passes through arectangle with sides of 2.50 m and 5.0 m. If the electric flux through the rectangle is 6.6x10^5 Nm2/C, find the angle between the electric field vector and the vector normal to the rectangular surface?A uniform electric field with a magnitude of 1.25x105 N/C passes through a rectangle with sides of 2.50 m and 5.0 m . If the electric flux through therectangle is 6.6x105 Nm2/C , find the angle between the electric field vector.A uniform electric field with a magnitude of 1.25x105 N/C passes through a rectangle with sides of 2.50 m and 5.0 m . If the electric flux through the rectangle is 6.6x105 Nm2/C , find the angle between the electric field vector and the vector normal to the rectangular surface ?
- Calculate the flux of F = xi+yj+zk across the part S of the sphere (Figure 2) x²+ y²+z24 between the planes z = 1 and z = 2We have an electric flux of magnitude 141 Nm2/ C passing through a flat horizontal surface with an area of 0.58 m2. The flux is due to a uniform electric field, which points 14.4 degrees above the horizontal. Find the magnitude of the electric field.Consider the field F(x,y,z)=2y j and the sphere centered at the origin of radius a. We can conclude that the flux of F through the sphere is:a. Twice the volume of the sphere b. sphere volume c. 5 times the volume of the sphered. 0
- A uniform electric field with a magnitude of 1.25x105 N/C passes through a rectangle with sides of 2.50 m and 5.0 m . If the electric flux through the rectangle is 6.6x105 Nm2/C , the vector normal to the rectangular surface ?Compute the flux of the vector field F=2xi+2yj through the surface S, which is the part of the surface z=36−(x^2+y^2) above the disk of radius 6 centered at the origin, oriented upward. flux = _____Find the flux through the top, left, and right sides of a cube of side 0.5 m when placed in a horizontal uniform electric field of 8.0 N/C directed to the right
- What is the electric flux for the following set of variables? E = 9.5 x 1013 N/C A = 1.6 x 10-5 m2 Θ = 75° E = 2.9 x 1019 N/C A = 2.5 x 10-2 m2 Θ = 90° E = 1.1 x 1010 N/C A = 3.2 x 10-4 m2 Θ = 45°Find the flux through the top, left, and rights sides of a cube of side 0. 3 m when placed in a horizontal uniform electric field of 8.0 N/C directed to the right.If a = i + 3j − k, b = 2i + 4j − 2k and c = −i + 2j + 4k, find a number λ such thatd = a + b + λc is parallel to the yz-plane.