



. Show that L2 . Using cartesian coordinates, show that: commutes with Lx. (use spherical coordinates...
Write the vector differential operator "DEL-V in Cartesian coordinates Cylindrical coordinates Spherical coordinates. 2. Show for any "nice" scalar function (x,y,z), the Curl of the gradient of (x,y,z) is Zero.. VxVo = 0 Hint: assume the order of differentiation can be switched 3. Find the volume of a sphere of radius R by integrating the infinitesimal volume element of the sphere. 4. Write Maxwell's equations for the case of electro and magneto statics (the fields do not change in time)...
Points P1 and P2 have Cartesian coordinate:s (2.2,0) and (1,0,1), respectively (a) Find the spherical coordinates of P1. (b) Express erl , ^e01,and" eφ1, the spherical unit vectors at P1,intermsofthe Cartesian unit vectors
Find the distance P1P2 vector between P1 (1, 2, 3) and P2 (-1, -2, 3) in Cartesian coordinates, cylindrical coordinates, AND spherical coordinates.
Find the gradient ∇φ of the following: a) φ = (r2/a2)e-r/a (using spherical coordinates) b) φ = 2√(x2+y2+z2) (using both cartesian and spherical coordinates, after converting)
Please explain cartesian,polar,spherical and cylinderical coordinates system in detail with examples.Also explain how to convert from each other.
Identify each of the points by specifying their Cartesian and
their polar coordinates. Show calculation on the gragh?
Calculate the covariant derivative of differential form xdx + ydy using Cartesian coordinates and then redo using polar coordinates.
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...
A resulting force vector of 75N is at a 155 degree angle (use Cartesian coordinates). What is the equilibrant force force vector? Please show work and explain how you did the problem. Thank you.
1. Express the point given in Cartesian coordinates in
cylindrical coordinates (r,θ,z). (9(√3/2), 9(1/2), 1)=
2. Express the point given in Cartesian coordinates in spherical
coordinates (ρ,θ,ϕ). (7/3√3,21/4,7/2) =
I know we are only supposed to post 1 per question however for
this one I have 1 part correct, I just need some help with the
rest. Please if you have the time help with question 2. Thank you
for your time and knowledge.
(1 point) Express the point given...