HW-6 - HW-6 1 A rectangular pipe running parallel to the z axis(from-∞ to ∞ has three ground metal sides at y=0 y=a and x=0 The fourth side at

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: HW-6 1. A rectangular pipe, running parallel to the z axis (from -∞ to +∞), has three ground metal sides at y=0, y=a, and x=0. The fourth side, at x=b, is maintained at a specific potential V0(y). (a) Develop a general formula for the potential within the pipe. (b) Find the potential explicitly for the case of V0(y)= V0 (constant). 2. A cubical box (side length of a) consists of five metal plates (x=0, x=a, y=0, y=a, and z=0), which are welded together and grounded. The top (z=a) is made of a separate sheet of metal, insulated from the others, and held at a constant potential V0. Find the potential inside the box. 3. Find the potential outside a charged metal sphere (Charge Q, radius R) placed in an otherwise uniform electric field E0. 4. Four charged particles are placed as shown in the figure. Find a simple approximation for the potential far away from the origin. (Express your answer in spherical coordinates.) 5. For a spherical shell of radius R with a surface charge k cos . (a) Calculate the dipole moment of this charge distribution. (b) Find the approximate potential, at points far away from the sphere, and compare the exact kR3 cos V ( r , ) result 3 0 r 2 . What can you conclude about the higher multipoles? ...
View Full Document

This note was uploaded on 02/06/2010 for the course PHYSICS 11 taught by Professor Qiu during the Fall '09 term at University of California, Berkeley.

Ask a homework question - tutors are online