Please show all workings out many thanks. :)
Please show all workings out many thanks. :) (c)Calculate curl of the vector field E in...
1. Find the divergence, curl and Laplacian of the following vector fields (a) E = psin o Ô-p?Ộ - zk, where p, 0, z are cylindrical coordinates. (b) F = sin O † – rsin e ôn, where r, 0, $ are spherical coordinates.
This is for EEE 241 (electromagnetics), using vector calculus.
Please show work, will give a good rating
A vector field is given in spherical coordinates as V (R,φ,0) = (100 cos θ) / R3 an + 50 sin θ / R3 a6- At the point P with spherical coordinates R-2, θ = 60° and φ = 20°, find: magnitude of V
A vector field is given in spherical coordinates as V (R,φ,0) = (100 cos θ) / R3 an +...
Solve with all the steps please!
Calculate the divergence and the curl of the vector field F(x,y,z) = ( x^3y)i + (xy)j + ( 213 )k. (Where Fis a vector and i,j,k stand for the standard unit vectors)
3. A vector field is given by F(x,y,z) y'zi - x3j+ xyk. Calculate curl(F). Show all working. 4 marks)
The magnetic field intensity in all of space is given in terms
of spherical coordinates:
(1 point) The magnetic field intensity in all of space is given in terms of spherical coordinates: A/m. sin θ Use this knowledge in both parts below. (a) Find the current density (in spherical coordinates) at the point P, whose Cartesian coordinates are (z,ys) = (85,-15,-2). ANSWER: At P, J a+ ag+ ap A/m2 (b) Find the net current, I,flowing through the conical surface S...
Show all the work
5. Compute the flux (integral) of the vector field )-(7777 규) along the surface Σ of exercise 4 with respect to φ 4. Let Σ be the piece of the hyperboloid x2+92-2-1 between the planes z-4/3 and z 12/5. Compute the integral of the function f(x,y,z) = z? along Σ Hint: use the parametrization (change of coordinates) given by φ(u, θ)-(cosh u cos θ, cosh u sin θ, sinh u) and remember the elementary properties of...
Please show all workings out. Many thanks for your help.
(a) Find Fourier expansion of an asymmetric square wave function f(t) given as 3π 2 < t < 2π 0< t< f(t) = 2 where f(t)-f(t+2T) (b) The saw tooth wave function fft) is defined as 3t 2 f(t) - (b1) Show that its Fourier expansion is n sin(nt 3 (b2) From the result b1 above show that 3 5 7 4
MARK WHICH STATEMENTS BELOW ARE TRUE, USING THE FOLLOWING, Consider Vf(x, y, z) in terms of a new coordinate system, x= x(u, v, w), y=y(u, v, w), z=z(u, v, w). Let r(s) = x(s) i+y(s) + z(s) k be the position vector defining some continuous path as a function of the arc length. Similarly for the other partial derivatives in v and w. For spherical coordinates the following must also be true for any points, x = Rsin o cose,...
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really hope you can give me a complete answer and explain it ,
please don‘t Answer if you cannot
I will definitely rate a good answer. thanks
Show that the 3D force field is a conservative field. Find the work done against the force when moving from Write down (i) an expression for the gradient of a 3D scalar field Ф(x, y, z) and (ii) the pseudo-determinant expression for the curl of a vector field v. Then show that...
In R3 minus the z-axis, consider the vector field 2(e) = (n Typ me i my2 +1) and the surfaces S: 5<2? + y2 <9, z = 0, S2 : 2? + y = 5, 05:52, Sz: 22 + y2 + x2 =9, 05:52 (a) Calculate Vov. [4 marks] (b) Show that Si U SUS3 is a closed surface. [4 marks] (c) Calculate the volume of the region R that is enclosed by SUS, US3- Hint: use cylindrical coordinates. [6...