Irodov's Solution

Good Essays
Irodov Problem 3.7

As shown in Figure 1, the charges are located in at the four corners of the square ABCD whose diagonal is of length 2l. Since the point Xis located at a height of x units from the plane of ABCD along its central axis, the distance of X from any of the corners A,B,C and D is . The electric field strengths due to each of the four charges located at corners A,B,C and D are given by,

The vertical components of EC and EB will cancel each other. Similarly the vertical components of EA and ED will cancel each other. Hence, only the horizontal components , , , and will remain as shown in Figure 2 (which depicts the top view).

From the geometry in Figure 1 it is clear that,

Since, A'B'C'D' is a square, the diagonals are perpendicular and hence A'D' is perpendicular to B'C'. Hence the total electric field strength is given by,

Irodov Problem 3.12

Consider an infinitesimally small section of the ring that subtends an angle and is located at angle. The length of this infinitesimally small section of the ring is. Since the linear charge density of the ring depends on as , the total charge contained in this infinitesimally small section of the ring is given by,

The electric field generated by this infinitesimally small section of the ring at point O, as depicted in the figure, is then given by,

As seen from the Figure, using elementary trigonometry we See that,

From (1), (2), (3a) and (3b) we obtain,

The field at the center of the ring can be obtained by setting x=0 as,

Irodov Problem 3.16

The easiest way to solve this problem is to choose a coordinate system where the x-axis is oriented in the direction of the vector. In such a coordinate system the vector can be simply written as. The charge density of the

You May Also Find These Documents Helpful

  • Better Essays

    solution

    • 1685 Words
    • 7 Pages

    Jennifer Obrien Date: 11/ April 11, 2013 Abstract Inexpensive, affordable food is a person’s wants. If find some ways to solve this problem, keep food quality and price. So, in this paper discuss the solution of how to strike a balance between inexpensive, affordable food and healthy, quality food. Firstly, according to international trade, people can import some healthy food from other country, which place has lower labor. So, people can control the…

    • 1685 Words
    • 7 Pages
    Better Essays
  • Good Essays

    solutions

    • 6281 Words
    • 47 Pages

    9001:2008 Certified Institute (Indian Standard Organization(ISO) Certificate Number:2071-QMS-1071) Email id: hsbsolutions7@gmail.com website:www.hsbsolutions.jimdo.com Ph: 9210846949 / 9717925135 Physics: Chapter 2 Solutions Last 15 years questions with solutions Topic: Strength of Solution Q.1Discuss the effect of Temperature on Solubility of solids in Solvent. AnsThe solubility of solid in a liquid solvent generally increases with increase in temperature of the solvent. Very rarely some neutral…

    • 6281 Words
    • 47 Pages
    Good Essays
  • Powerful Essays

    Solutions

    • 1573 Words
    • 9 Pages

    AGDA Practice Note Written Proposal Template Written Proposals We advise our members to always provide written proposals to your clients. While writing a proposal may seem like a challenging task, you will benefit from the exercise in many ways: • your clients will perceive you as professional – any client who wants to do business without something in writing should be informed it is standard professional practice, in keeping with the AGDA Code of Ethics • you will have legal protection…

    • 1573 Words
    • 9 Pages
    Powerful Essays
  • Satisfactory Essays

    Solutions

    • 758 Words
    • 4 Pages

    CHAPTER 10 CRITICISMS OF ABSORPTION COST SYSTEMS: INCENTIVE TO OVER-PRODUCE P 10-1: Solution to Federal Mixing (10 minutes) [Explaining absorption versus variable costing] Variable costing writes off to income all fixed manufacturing costs incurred during the year. Absorption costing prorates the fixed overheads between units in inventory and units sold based on machine hours. Absorption costing net income is higher than under variable costing by $1.2 million. This means that inventories…

    • 758 Words
    • 4 Pages
    Satisfactory Essays
  • Powerful Essays

    Solution

    • 1576 Words
    • 7 Pages

    Role of Internal Audit Function Nano Circuits Inc, is a publicly traded company that produces electronic control circuits, which are used in many products. In an effort to comply with SOX, Nano is in the process of establishing an in-house internal audit function, which previously had been outsourced. The company began this process by hiring a Director of Internal Audits. Nano Circuits’ CEO recently called a planning meeting to discuss the roles of key corporate participants regarding the implementation…

    • 1576 Words
    • 7 Pages
    Powerful Essays
  • Satisfactory Essays

    Solution

    • 14021 Words
    • 57 Pages

    DEPARTMENT OF TECHNOLOGY AND BUILT ENVIRONMENT Chinese culture, Chinese corporation culture and innovation How does a corporation implement innovation properly? Hengsong.TU & Xin.YUAN 06.2010 Master’s Thesis 1 Abstracts: 文化反映在人类生活中的很多方面,诸如做事情方式,沟通的礼节, 教育,历史事件,经济状况等等方面。在很大方面,一个国家的文化 会影响到企业的经营方式。通过当前比较流行的霍夫特德的文化区分 理论,我们了解到中国的文化特点体现为比较长的权利距离,集体主 义倾向,更男性化,强调风险规避以及考虑长期目标。因此,中国的 企业也长期处在中国文化的影响中,表现起来就是中国的企业更强调 集体文化,以及把企业当作家的思想。企业中存在许多的规章制度以 及等级观念,员工的晋升与个人的成就和服从相关联。通过这篇文 章,我们在一系列文献整理的基础上,更好的了解中国文化和中国企…

    • 14021 Words
    • 57 Pages
    Satisfactory Essays
  • Good Essays

    The Solutions

    • 3890 Words
    • 16 Pages

    CHAPTER 5 Merchandising Operations and the Multiple-Step Income Statement ANSWERS TO QUESTIONS 1. (a) Disagree. The steps in the accounting cycle are the same for both a merchandising company and a service company. (b) The measurement of income is conceptually the same. In both types of companies, net income (or loss) results from the matching of expenses with revenues. 2. The components of revenues and expenses differ as follows: | | Merchandising | | Service | RevenuesExpenses…

    • 3890 Words
    • 16 Pages
    Good Essays
  • Better Essays

    A solution

    • 1017 Words
    • 5 Pages

    Proposing a Solution I live outside of a small town of 3,000 people. The water system of our small town supplies drinking water to a population of 3,000 to 5,000. Our water system has been in place for 20 plus years and neglect has been rampant for almost the same period of time. Public water systems are governed by regulations and monitored by the State of Louisiana. The Town of Ferriday has been under state mandated “boil orders” more times that you could count. One of the more recent events…

    • 1017 Words
    • 5 Pages
    Better Essays
  • Satisfactory Essays

    Solution

    • 272 Words
    • 2 Pages

    Solution: i. Establishment of estimated growth rate in earnings and dividends. XYZ Company’s current EPS is $4.75. It was $3.90 a year ago. The company pays out 35% of its earnings as dividends, and the stock sells for $45. a. Calculate the past growth rate in earnings. b. Calculate the next expected dividend. Assume that the past growth rate will continue Answer: If payout ratio is constant, then dividend growth rate will be same as earnings growth rate. a) dividend growth rate over…

    • 272 Words
    • 2 Pages
    Satisfactory Essays
  • Good Essays

    Solution

    • 2153 Words
    • 9 Pages

    ECO204: Solutions to Homework 5 1. True, False, Uncertain a. False. Methods to eliminating moral hazard include writing efficient contracts between principals and agents, bonding and deferred payments. The methods to eliminate adverse selection include sending signals and relying on 3rd parties to verify quality. b. True. When there is asymmetric information, it drives out high-quality goods because consumers have a difficult time differentiating between high- and low-quality goods. As a result,…

    • 2153 Words
    • 9 Pages
    Good Essays