question 5 and 6, please. Q4:1-A electric potential described by:v (x,y)=tan-ly2-A conducting wire along the z-axis carries acurrent I, The resulting magnetic vetor potential(A)isgiven...

question 5 and 6, please.

Extracted text: 9:PAI د انقر هنا ل لرجوع إلى المكالمة ۵ ۰۳:۵ O mathequestio... -> Q4: 1-A electric potential described by: v (x,y)=tan-ly 2-A conducting wire along the z-axis carries a current I, The resulting magnetic vetor potential (A) is given by -In Find the magnetic induction (B =V×Ã)• Is satisfy the Laplacian equation or not. Q5: 1- Express the operators ( gradient, divergence, curl and laplacian ) in spherical coordinates. 2- Show that the unit vector of spherical (F,0,0) coordinates in terms of Cartesian coordinate is. (sinocos sin Osin cosocosø cososing -sinø ý coso Yf --sinø cosø Q6: Thin plate of uniform thickness and density 8(x,y)=3x +2y -1 coveres the area by the parabola y =x 2 and the line y=*+! Find 4 8 1-The mass of plate. 2-the moment of inertia about the point of origin. 3-The radius of gyration about the point of origin.