Laplace and Poisson equations in electrostatics and their applications; Energy of a system of charges, multiple expansion of scalar potential
Questions:
Q 1. Starting from the Laplace’s equation in a cylindrical polar coordinate system and using the method of separation of variables , obtain the differential equations for the solution of r, and z component of the potential. [15 marks]
Q 2. A 0.5m long cylindrical medium between two conducting plates has a uniform charge density of .The axial of the cylindrical medium is along the z-axis. The left plate is at and has a potential of and the right plate is grounded. Determine the electric field at axial distance . [15 marks]
Video Solution at 11 pm