所屬科目:研究所、轉學考(插大)◆電磁學
1. (15%) A magnetic field is given in the xz-plane by, Wb/m2. Consider a regid square loop situated in the xz-plane with its vertices at (x, 0, 1), (x+1,0, 1), (x+1,0, 2), and (x, 0, 2). Find the emf induced around the loop in the sense defined by connecting the above points in succession.
2. (15%) Charge is distributed with uniform density p0, C/m3 in the spherical region a<s <2a. Find the electric displacement field everywhere.
4. (15%)Let us consider the charge distribution given bywhere ρo is a constant. Find the electric displacement field everywhere.
5.(15%) For a uniform plane wave propagating in the -z-direction in a material medium withσ=0, 6=4εo, μ=μo , the magnetic field intensity in the z=0 plane is given by (a) Find the impedance of the medium for the field.
(c) Find the associated electric field
(b) Find, that is, immediately adjacent to the x=d plane and on the free-space side, at that instant of time.