Four charged particles are at the corners of a square

Posted By Admin @ September 03, 2022

Question:

Four charged particles are placed so that each particle is at the corner of a square. The sides of the square are 15 cm. The charge at the upper left corner is +3.0 ?C, the charge at the upper right corner is ?6.0 ?C, the charge at the lower left corner is ?2.4 ?C, and the charge at the lower right corner is ?9.0 ?C. A. What is the net electric force on the + 3.0 ?C charge? B. What is the net electric force on the ? 6.0 ?C charge? C. What is the net electric force on the ? 9.0 ?C charge?

Answer:

(i) Part 1

Net force on 3 uC charge

Force due to - 6 uC

F_1 = \frac{(9\times 10^9)(3\times 10^{-6})(6\times 10^{-6})}{0.15^2}

F_1 = 7.2 N

Force due to -2.4 uC charge

F_2 = \frac{(9\times 10^9)(3\times 10^{-6})(2.4\times 10^{-6})}{0.15^2}

F_2= 2.88 N

Force due to 9 uC charge

F_3 = \frac{(9\times 10^9)(3\times 10^{-6})(9\times 10^{-6})}{2(0.15)^2}

F_3 = 5.4 N

Now net force is given as

F_x = F_1 + F_3cos45

F_x = 11.02 N

F_y = F_2 + F_3sin45

F_y = 6.70 N

F_{net} = \sqrt{F_x^2 + F_y^2}

F_{net} = 12.9 N

Part 2

Net force on -6 uC charge

Force due to 3 uC

F_1 = \frac{(9\times 10^9)(3\times 10^{-6})(6\times 10^{-6})}{0.15^2}

F_1 = 7.2 N

Force due to 9 uC charge

F_2 = \frac{(9\times 10^9)(6\times 10^{-6})(9\times 10^{-6})}{0.15^2}

F_2= 21.6 N

Force due to -2.4 uC charge

F_3 = \frac{(9\times 10^9)(6\times 10^{-6})(2.4\times 10^{-6})}{2(0.15)^2}

F_3 = 2.88 N

Now net force is given as

F_x = F_1 - F_3cos45

F_x = 5.16 N

F_y = F_2 + F_3sin45

F_y = 23.6 N

F_{net} = \sqrt{F_x^2 + F_y^2}

F_{net} = 24.2 N

PART 3

Net force on 9 uC charge

Force due to - 6 uC

F_1 = \frac{(9\times 10^9)(9\times 10^{-6})(6\times 10^{-6})}{0.15^2}

F_1 = 21.6 N

Force due to -2.4 uC charge

F_2 = \frac{(9\times 10^9)(9\times 10^{-6})(2.4\times 10^{-6})}{0.15^2}

F_2= 8.64 N

Force due to 3 uC charge

F_3 = \frac{(9\times 10^9)(3\times 10^{-6})(9\times 10^{-6})}{2(0.15)^2}

F_3 = 5.4 N

Now net force is given as

F_x = F_2 - F_3cos45

F_x = 4.82 N

F_y = F_1 - F_3sin45

F_y = 17.8 N

F_{net} = \sqrt{F_x^2 + F_y^2}

F_{net} = 18.4 N

Similar Questions

  1. 4 point charges are at the corners of a square
  2. 4 charges are placed at the corners of a square
  3. Prevents charged particles from the sun from reaching the surface
  4. The positively charged particle in an atom's nucleus is the
  5. Name the four types of particles found in the atmosphere
  6. A particle that has a neutral charge is called a
  7. Which of the following subatomic particles has a neutral charge
  8. An ion is a charged particle that is formed when
  9. A polygon is square only if it has four sides.
  10. Compare the relative charge and mass of the subatomic particles
  11. How does a charged particle move in an electric field
  12. A gene that actively controls the expression of a trait
  13. Which element and animal best represents your personality and why
  14. A solution is made by mixing equal masses of methanol
  15. What type of memory is not consciously accessible to us
  16. Which formula represents a molecule with the most polar bond
  17. The non-price determinants or other factors that affect supply are:
  18. In recent decades the traditional family has been replaced by
  19. First african american student to attend the university of mississippi
  20. What can an individual do to further public health apex
  21. Article iii of the constitution describes the structure of the
  22. A job analysis results in two written statements they are
  23. In order to prevent pest infestations it is important to
  24. Calling someone darling to indicate intimacy is an example of
  25. Although they had been talking online for six months john
  26. What did vygotsky say about preschoolers' use of private speech
  27. How to tell if an integral is convergent or divergent
  28. What is the purpose of lookup tables in spreadsheet software
  29. All parts of the federal bureaucracy share which characteristic apex
  30. 1 what events led to the attack at pearl harbor
  31. Which way do you turn your wheels when parking uphill
  32. Which statement can be supported by using a position-time graph
  33. Can the type of light make a difference in photosynthesis
  34. Traditional music and folk music are always the same thing
  35. Who has to pay the largest criminal fine in history
  36. A box of pencils costing $0.20 and marked up $0.19.
  37. How many almonds does it take to make a gallon
  38. How many muscles does it take to smile and frown
  39. How many 2 inch segments are there in 12 ft
  40. Which of the following is normal in high context culture
  41. What are the similarities and differences between mitosis and meiosis
  42. Compared to today's civil service system early american bureaucracy was
  43. What usually happens during the climax of a story apex
  44. Which one of the following is the largest industries today
  45. What is one of the responsibilities of an ethics officer
  46. Cyanide inhibits mitochondrial function as a result the rate of
  47. What was the basic belief of the declaration of independence
  48. What is the overall theme of the sistine chapel paintings
  49. Strategic planning looks at the organization as a whole while
  50. How far was owl creek bridge from peyton farquhars home
  51. Where should your hands be on the steering wheel 2021
  52. Which statement best describes the us welfare system in 1930
  53. What is friar laurence's special skill or area of knowledge
  54. Advertising in the 1950s and 1960s was typically designed to
  55. Which sweet tea would you expect to taste the sweetest
  56. Who or what was the target of the watergate break-in
  57. An advantage of the survey method of research is that
  58. Situation in which a mother holds most of the authority
  59. Without army pay how did harriet earn money to live
  60. Which hormone is not produced by the anterior pituitary gland
  61. A medic alert bracelet might indicate that a customer alcohol
  62. Which of the following substances is excreted by sweat glands
  63. What are the three parts of the declaration of independence
  64. An art critique is simply an evaluation of an artwork
  65. Studies have found a strong relationship between academic dishonesty and
  66. The home health nurse is conducting a home safety assessment
  67. How does malcolm's army make the witches prophecy come true
  68. An igneous rock that contains mostly pyroxene and olivine has
  69. What role does the cell membrane play in maintaining homeostasis
  70. An is a malignant tumor that originates in glandular tissue
  71. Among the following which is the best protection against ransomware
  72. A letter from the word mississippi is selected at random
  73. A long walk to water chapter 2 questions and answers
  74. The anti federalists believed in a interpretation of the constitution
  75. Anger management skills are not related to stress management skills

Because time is of the essence volunteers should be interviewed

Answer: Option DExplanation: As time is a very important resource for every organisation and is considered as the essence of success, business organisations should manage …

What is considered an important roman contribution to american government

An important Roman contribution to American government is the idea of a "republic" or the creation of a representative democracy. In the Roman Republic, representatives …

It is possible to have multiple jobs within an occupation

True. It is possible to have multiple jobs within an occupation.This is very relevant to service providers like accountants, lawyers, etc.They work for or are …

Which of the following traits do archaeans and bacteria share

Answer: 2. presence of plasma membrane 3. lack of a nuclear envelopeExplanation:Both archaeans and bacteria are prokaryotes. The prokaryotic organisms lack the well-defined nucleus and …

A tent is in the shape of a triangular prism

Your answer is 5 feet for your depth

A histogram aids in analyzing the blank of the data

A histogram aids in both the shape of the distribution of the data. A histogram is a diagram that consists of rectangles where the area …

You are waiting to turn left at a multilane intersection

Answer:B: Lift your foot off the gas pedal and let the other car move ahead, so it is clear you are not racing them. Explanation:Driving …

A stock has had the following year-end prices and dividends

Answer:10.27% and 9.11%Explanation:The computation is shown below:Given thatYear Price Dividend Return1 $43.55 2 $48.53 $.87 13.43% 3 $57.45 $.90 20.23% 4 $45.53 $.95 -19.90% 5 …

Limpieza de oficinas de lunes a viernes cerca de mi

At work I clean the office from Monday to Friday

Which weather variable can be determined by using a psychrometer

Answer:atmospheric humidity.Explanation: used to measure the amount of water vapor in air, in soil, or in confined spaces. Humidity measurement instruments usually rely on measurements …

How much does 1 gallon of water weigh in pounds

Explanation:There are 8.35 pounds in a gallon of water. Water weighs 1 gram per cubic centimeter or 1 000 kilogram per cubic meter, i.e. density …

1 3 7 divided by 2 3 as a fraction

Fractions are always represented in the numerator and denominator forms. The final fraction form is 1/21.How to calculate the fractions?The below expressions can give us …

While there is a lower class i am in it

The correct answer is: C. The working classIn the excerpt Eugene Debs states that he identifies with lower class and with the criminal element. Usually …

Identify the equations that show ionization. check all that apply.

Answer:HCI(g) + H2O(I) —> H3O + (aq) + CI-(aq) CO2(g) + 2H2O(l) —> HCO-3(aq) + H3O+(aq) Explanation:I’m guessing this for edg 2020, and these are …

What happens when a population is in hardy weinberg equilibrium

Answer:A. The phenotype frequency does not changeExplanation:Hardy-Weinberg law says when there is no migration, mutation, or selection allele and genotype frequency remains constant. Example: A …