Consider an electric field E= 2x i^ - 3y j^ . The coordinates x and y are measured in meters and the electric field is in N/C. What is the magnitude of the flux of this field through a square whose corners are located at (x, y ,z) = (0, 2, 0), (2, 2, 0),(2, 2, 2),(0, 2, 2)?
A) 24 Nm2/C
B) 6 Nm2/C
C) 48 Nm2/C
D) 12 Nm2/C
E) 0

Consider an electric field E= 2x i^ - 3y j^ . The coordinates x and y...
For the electric field: E = (10 i + 20y j) N/C, what is the electric flux through ?a 2.0 m^2 portion of the xy-plane 40 Nm2/C. O 20 Nm2/C. O 50 Nm2/C. O zero O
A cube with sides of 33.0 cm is placed in a nonuniform electric field E(x, y, z) = −3.0xi + 5.0yj + 4.0zk, where x, y, and z are measured in meters and E is in N/C. Determine the electric flux through each of the six faces of the cube, assuming the cube has a corner at the origin and sides along the x, y, and z axes. face at x = 0 face at x = 33.0 cm face...
In a region of space there is an electric field E~ that is in the z-direction and that has magnitude E=(868N/(C?m))x. Find the flux for this field through a square in the xy-plane at z = 0 and with side length 0.330 m. One side of the square is along the +x -axis and another side is along the +y-axis. [answer is 15.6 N.m2/C] please explain and show work thanks!
Problem 2: A uniform electric field of magnitude E=24 NC points along the x-axis. A circular loop of radius R=25 cm is centered at the origin with the normal to the loop pointing θ=65 degrees above the x-axis. Part (a) Calculate the electric flux in units of Nm2/C that passes through the loop.
Question 8 2 pts An electric field given by E = 2x y2 i + yx?j + 3 zy? k pierces the Gaussian cube shown below. How much charge, in nC, is enclosed in the cube? (E is in N/C,,y and zin meters). Take En = 8.85 x 10-12 C2/Nm2. y (1,3,0) (4,3,0) (1,3,3) (4, 3, 3) (4,0,0) x (1,0,3) (4,0.3) Equations: I enclosed =o total +0 left +0 from bottom top back right E = 8.85 x 10-12 Nm...
An uniform electric field, E. with a magnitude of passes through a square surface at an angle of α-32.5 degrees relative to a line on the surface, as shown in the figure below. The square measures 2m x 2m, and the flux through the surface is measured to be 21.4 What is the magnitude of the electric field, Eo? N-m
Consider a vector field given in cartesian coordinates (x, y, z) by vyâ. (A) Calculate the curl of this vector field V x v. (B) Verify that Stokes' theorem holds if the contour is the square with corners (d, d, 0), (-d, d, 0), (-d, -d, 0), and (d, -d, 0) and the surface spanned by this contour is at z0.
Consider the vector field F(x, y, z) -(z,2x, 3y) and the surface z- /9 - x2 -y2 (an upper hemisphere of radius 3). (a) Compute the flux of the curl of F across the surface (with upward pointing unit normal vector N). That is, compute actually do the surface integral here. V x F dS. Note: I want you to b) Use Stokes' theorem to compute the integral from part (a) as a circulation integral (c) Use Green's theorem (ie...
Question zpus An electric field given by E = 2x y2i+yx?j +3zyk pierces the Gaussian cube shown below. How much charge, in nC, is enclosed in the cube? (Eis in N/C,x,y and zin meters). Take E, = 8.85 x 10-12 c2/Nm2 (1,3,0) (4.3.0) (1.3.3) 4.3.3) (4,0,0) x (1,0,3) (4.0.3) Equations: Pexkon <-885x10 - * = SË-ch etj......--LE-di dji ſi-ar dy --[ich dyk Burger - [Edydi 0 +4.45 nc O +8.36 nc 0-10.3 nc 0 +5.26 nc 0 + 13.5 nc...
Consider the vector field F = (3xyz + 5y3)i + (2x*yz +15xy? – 7z)j + (x*y2 – 7y + 4z3)k. Find a potential function for F. Select one: a. $(x, y, z) = x.*yºz +5xy3 – 24 O b. p(x, y, z) = 2*yaz + 5ay3 – 7yz + 24 O C.$(x,y,z) = 2*yaz – 5xy3 – 7yz + x4 O d. 4(x, y, z) = **yaz + 5xy + 24