(See attached file for full problem description)
Finding E for a dipole moment at origin
The problem is included in the attached Word file. An electric dipole of moment p is located at the origin. The dipole creates an electric potential at r given by Find the electric field E
(See attached file for full problem description)
Please show all steps using smith chart. (See attached file for full problem description)
An infinite cylinder of radius "a" with dielectric constant
An infinite, cylinder of radius a with dielectric constant k=(e/eo) has it axis along the z-axis. There is a uniform electric field E=Eox a large distance from the cylinder. What is the electric field everywhere inside and outside the cylinder? What is the bound charge density on the surface of the cylinder? How the field di ...continues
A particle with charge q is at the origin and is given an initial velocity
A particle with charge q is at the origin and is given an initial velocity v=vox. The magnetic field in the origin is b=boz and the electric field is E=Eoy. Determine the path of the particle (that is, find its position as a function of time, and interpret the results). Begin by showing that the path lies in a single plane. De ...continues
Using Divergence (Gauss) and Curl (Stokes) theorems
(See attached file for full problem description with proper equations and symbols) --- 1. In the year 2075 physicists discover a new field described by the vectors and . These are related by = k Where k is constant. The two vectors are found to satisfy the differential equations * = 0 (* means dot) And ...continues
(See attached file for full problem description) --- 2. An infinite cylinder of radius a, with dielectric constant 0 has its axis along the z-axis. There is a uniform electric field 0 a large distance from the cylinder. (a) Find the electric field everywhere inside and outside the cylinder. (b) Find the bound charge ...continues
Magnetic field at the centre of a rotating uniformly charged hemispherical shell.
3. A uniformly charged hemispherical shell is rotating with angular speed w (omega) about its symmetry axis as shown. Use the Biot-Savart Law to find the magnetic field at the center of the sphere (point P). Begin by discussing the direction of B. See attached file for full problem description.
(See attached file for full problem description) 4. A particle with charge q is at the origin and is given an initial velocity = v0 . The magnetic field in the region is = B0 and the electric field is = E0 . Determine the path of the particle (that is, find its position as a function of time, and interpret the results). ...continues
