Solution-Expression for the potential for two dipoles

Expression for the potential for two dipoles

Assignment Help Basic Statistics

Reference no: EM13957989

Consider a dipole of strength D, oriented along the x-axis and located at the point x = ε/2, y = 0, z = 0, and a dipole of strength -D, oriented along the x-axis at the point x = - ε /2, y = 0, z = 0. Write the expression for the potential for these two dipoles. Take the limit as ε →0, εD = E = fixed, and show that the limiting potential is given by

u= -E/4π3(3cos2 θ - 1)

This configuration is a quadrupole. Show that u satisfies

?u = δ"(x) δ(y) δ(z).

Reference no: EM13957989

Questions Cloud

Create a new product which would appeal to your market : Choose the target market for your product, and describe your target market in detail. Create a new product which would appeal to your market.

Find the probability that jury renders a correct decision : Suppose that it takes at least 9 votes from a 12-member jury to convict a defendant. Suppose the probability that a juror votes a guilty person innocent is 0.2.

Present value of the minimum lease payments : Compute the Present value of the Minimum Lease payments

Explain why the senior managers at quantum products : Explain why the senior managers at Quantum Products have an incentive to over invest.

Expression for the potential for two dipoles : Consider a dipole of strength D, oriented along the x-axis and located at the point x = ε/2, y = 0, z = 0, and a dipole of strength -D, oriented along the x-axis at the point x = - ε /2, y = 0, z = 0. Write the expression for the potential for thes..

What fraction of days is the proportion of commercial vehcle : Verify that f(x) = -ln(x) for 0

How culture change around the world : How culture change around the world? Explain with examples. How do culture change from the international marketing perspective? Does the people around the world accept or reject the change? Explain with examples.

Pension costs in a governmental fund : A school district accounts for its pension costs in a governmental fund. In a particular year, the district's actuary recommends that it contribute $18 million for the year

Find the expected number of games played. : Suppose in the problem above, that the two teams are evenly matched and each has probability 1/2 of winning each game. Find the expected number of games played.

User Account

All Pages

Expression for the potential for two dipoles

Reference no: EM13957989

Reference no: EM13957989

Questions Cloud

Reviews

Write a Review

Basic Statistics Questions & Answers

Statistics-probability assignment

What is the least number

Determine the value of k

What is the probability

Binomial distributions

Caselet on mcdonald’s vs. burger king - waiting time

Generate descriptive statistics

Sampling variability and standard error

Estimate the population mean

Conduct a marketing experiment

Find out the probability

Linear programming models

Assured A++ Grade

Academics

Major Subjects

Majors

Get In Touch

TERMS & POLICIES

HELP & SUPPORT