1. (10 points) The finite sheet 0 x 1, 0 y 1 on the z=0 plane has a charge density - xy (a) The total charge on the sheet (b) The electric field at (0,0,5 (c) The force experienced by a mC charge located at (0.0,5)
1. A total charge of Q is uniformly distributed around the perimeter of a circle with radius a in the x-y plane centered at origin as shown in Figure P4. (a) Find the electric field at all points on the z axis, i.e., (0,0,z). (b) Use the result you obtain in (a) to find the electric field of an infinite plane of charge with surface charge density ps located at the x-y plane. 2. Find the electric field due to a...
A square shaped sheet of charge is placed on z 0 plane and defined as Ps lO, otherwise where po is a constant. Find a) Electric potential V V(z) on z axis b) Electric field using the relationV
Infinite sheet carrying surface charge density sigma = - 1 MuC/m^2 is in y-z plane. A point charge q= +8pie MuC is located on x-axis at point (1,0) one meter from the origin. Find the forces acting on the charge q and on the charged plate. Find a coordinate or coordinates on the x-axis for which the net electric field zeroes.
Could you do number 4 please. Thanks
1-8 Evaluate the surface integral s. f(x, y, z) ds Vx2ty2 -vr+) 1. f(x, y, z) Z2; ơ is the portion of the cone z between the planes z 1 and z 2 1 2. f(x, y, z) xy; ơ is the portion of the plane x + y + z lying in the first octant. 3. f(x, y, z) x2y; a is the portion of the cylinder x2z2 1 between the planes...
Two charges are located in the
x–y plane. If q1 = -2.90 nC and is located at x = 0.00 m, y = 1.000
m and the second charge has magnitude of q2 = 3.40 nC and is
located at x = 1.40 m, y = 0.600 m, calculate the x and y
components, Ex and Ey, of the electric field, , in component form
at the origin, (0,0). The Coulomb Force constant is 1/(4π ε0) =
8.99 × 109...
3. Verify Stokes' Theorem for the vector field F(x, y, z)= (x2)ĩ+(y2)]+(-xy)k where S is the surface of the cone +y parametrized by (u,v)-(ucos v, u sin v, hu) x2+y2 a at height h above the xy-plane Z = a V 0<vsa, OSvs 2n, and as is the curve parametrized by ē(f) =(acost,asint, h), 0sis27 as x2+ a
3. Verify Stokes' Theorem for the vector field F(x, y, z)= (x2)ĩ+(y2)]+(-xy)k where S is the surface of the cone +y parametrized...
Two charges are located in the x-y plane. If ql--395 nC and is located at (x 0.00 m,y-0.880 m), and the second charge has magnitude of q 4.40 nC and is located at (x = 1 .50 m,y-0400 m), calculate the x and y components, Ex and Ey, of the electric field, E, in component form at the origin, (0,0)·The Coulomb force constant is 1/(4mo) 8.99x109 N·m2/C2 Ex NC E, NC
We observe two point charges in the yz-plane: one of them has charge 2q and is located in (x,y,z)-(0,0,a) and the other has a charge of -3q and is located in (x,y,z)-(0,b,a) a) Calculate the dipole moment p, and p, for the two charges around (0,0,0), and sketch for a-2, b-3, c -1, the vector for the total dipole moment p for the configuration In addition to the two point charges, we now have an infinite grounded conductor placed in...
A charge, qǐ 20.6 nC is located at the origin (z = 0, y 0), a second charge, g2 =-144 nC is located on the x-axis at ( 4m,y-0 m),and a third charge. qs 31.1 nC is located on the y-axis at (z0m, y 4 m). Calculate the magnitude of the electric field at the location marked by the letter "X" on the figure below (4m,y-4 m). 4 2