Write the vector differential operator "DEL-V in Cartesian coordinates Cylindrical coordinates Spherical coordinates. 2. Show for...
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) 5. Consider the object shown in Figure 3.7. Perform the required integration to calculate: CAS. 108 DAS. 0:10 (a) The distance BC (b) The distance CD (c) The surface area ABCD (d) The surface area ABO (e) The surface area A OFD (1) The volume ABDCFO