Question: For a dipole oriented along the x axis, the electric field falls off as 1/x3 in the x direction and 1/y3 in the y direction.

For a dipole oriented along the x axis, the electric field falls off as 1/x3 in the x direction and 1/y3 in the y direction. Use dimensional analysis to prove that, in any direction, the field far from the dipole falls off as 1/r3.

Step by Step Solution

★★★★★

3.41 Rating (167 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

Dimensionally we can write E kQ L 2 And p Q L Whe... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

10-P-E-E-F (425).docx

120 KBs Word File

Students Have Also Explored These Related Electricity and Magnetism Questions!

A rod AB oriented along the x axis of the reference frame K moves in the positive direction of the x axis with a constant velocity v. The point A is the forward end of the rod, and the point B its...

A car travels along the x axis with increasing speed. We don't know if to the left or the right. Which of the graphs in Fig. 2-34 most closely represents the motion of the car? (a) (b) (c) (d) (e) t

A particle moves along the x axis from x = 12.8 m to x = 23.7 m under the influence of a force F= 375/x3 +3.75x Where F is in newtons and x is in meters. Using numerical integration, determine the...

The experimental result differs from the assumption. The result shows that the ring oscillator frequencies can be grouped into two groups, where the first group is the high frequency group for the...

space weather PLEASE HELP ME use MATLAB NO REFERENCE 1.1 Free Space Maxwell's equations describe the behavior of electromagnetic fields and their interaction with mat- ter. They are one of the major...

hi i am currently doing a lab and i need help calculating this value for a question. Convert a^3 to SI units of m^3*T and use this value with the predicted value of Eq. 8 to determine the dipole...

Preview File Edit View EDV 60 Tools Window Help Discussion 4 worksheet.pdf Page i of a A neuron (pictured) is a body cell that creates and transmits electrical signals. To do this, it uses chemical...

part 1 link http://www.walter-fendt.de/html5/phen/magneticfieldbar_en.htm part 2 link http://www.thephysicsaviary.com/Physics/Programs/Labs/FieldFromWire/index.html part 3 link...

L=0.6m L=1.0m L=1.4m L=1.8m L=2.2m L=2.6m Time B Time B Time B Time B Time B Time B (s) (mT) (s) (mT) (s) (mT) (s) (mT) (s) (mT) (s) (mT ) 0.00 0.758 0.00 0.427 0.00 0.337 0.00 0.258 0.00 0.219 0.00...

Modern Building Supply sells various building materials to retail outlets. The company has just approached Linden State Bank requesting a $300,000 loan to strengthen the Cash account and to pay...

The following 2016 information is available for three companies: Required a. Determine the annual before - tax interest cost for each company in dollars. b. Determine the annual after - tax interest...

Wall Street Technology Partners, LP, was a limited partnership, operating under a 2000 limited partnership agreement. Limited partners made capital contributions on joining the partnership. Under the...

Firm A has a Fixed Asset Turnover Ratio of 2 . 0 . The industry average Fixed Asset Turnover Ratio is 2 . 5 . As compared to the industry, Firm A is using its fixed assets more efficiently than does...

Zelmer Company manufactures tablecloths. Sales have grown rapidly over the past 2 years. As a result, the president has installed a budgetary control system for 2017. The following data were used in...

Unusually high snowfall in January caused the City of Winnipeg to exceed its January snow removal budget. In January, the city spent $11.3 million dollars, which represented 179.37% of its snow...

Amazon.com, Inc.s financial statements are presented in Appendix D. Financial statements of Wal-Mart Stores, Inc. are presented in Appendix E. Instructions for accessing and using the complete annual...

Fusion reactions on the earth are likely to use as fuel a. ordinary hydrogen b. deuterium c. plutonium d. uranium

Use one to three words to identify a current event that others will quickly recognize. Next, write a paragraph evaluating someones conduct in the current event using the ethics of rule-based...

The enthalpy of vaporization for water is 40.65 kJ mol -1 . As a design engineer for a project in a desert climate, you are exploring the option of using evaporative cooling. (a) If the air has an...

The speed of sound in air is 331 m/s. During the next thunderstorm, try to estimate your distance from a lightning bolt by measuring the time lag between the flash and the thunderclap. You can ignore...

The average velocity of a particle moving in one dimension has a positive value. Is it possible for the instantaneous velocity to have been negative at any time in the interval? Suppose the particle...

If the average velocity of an object is zero in some time interval, what can you say about the displacement of the object for that interval?

I think I got the graph right, but the true/false question is throwing me off. Thanks! An NPV profile plots a project's NPV at various costs of capital. A project's NPV profile is shown as follows....

The price of Ervin Corp. stock will either be $ 6 7 or $ 8 5 at the end of the year. Call options are available with one year until expiration. Continuously compounded T - bills currently yield 5 . 2...

Computer Science II func. assignment #2 This is an example of a function where, (in the function) you read in 3 numbers, do a calculation, and return a value Write a C function that will: Determine...