Electromanegtic theory time: 3 hours final exam 2017-2018 msc students a. given the vector field a 5yl-5xj +5zk verify stoke's theorm for the hemispherical surface x +y +z2- a b. find the value of v. m if m a( ) - z 20. (.0) ( a(2cos 2p) at is a function of u and u is a function of x, y,z, then show that vo acore + a (a'sine r c if 2 a. for an electric field e = 4r3a, in spherical coodinates. verify the divergence theorem for a sphere of radius r 2. b. transform the vector d 2ya, -2x