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step 1: Two small identically charged conducting spheres 1 and 2 of equal mass are hung from a fixed support with non conducting threads of equal length as shown in the figure. Both the spheres have equal mass mị = m2 = mand equal charge q1 = 42 = q. Assume that the charge of each sphere is q = 24 nC , the length of the thread is L = 227 cm and the horizontal separation is x = 14 cm. You must draw the figure properly in your pdf. The x and y directions are shown in the figure. You have the liberty to choose any point as the origin of your coordinate system. (Hint: You may find it convenient to choose q1 or q2 as the origin of your coordinate system.) a) Find out the mass of each sphere. mass of each sphere in S. I. unit Give your answer to at least three significance digits. kg step 2: Now, say we discharge sphere 2, without changing any other variables. Discharging means that the new charge of the sphere 2 is q' = 0. Explain what will happen in your script and answer the followings: b) What will be the new charge of the spheres after they reach equilibrium from step 2. charge of sphere 1 Give your answer to at least three significance digits. C charge of sphere 2 Give your answer to at least three significance digits. C c) What will be the new separation of the spheres after they reach equilibrium from step 2. Hint: Use small angle approximation. equilibrium separation Give your answer to at least three significance digits. m coiling

step 1: Two small identically charged conducting spheres 1 and 2 of equal mass are hung from a fixed support with non conducting threads of equal length as shown in the figure. Both the spheres have equal mass mị = m2 = mand equal charge q1 = 42 = q. Assume that the charge of each sphere is q = 24 nC , the length of the thread is L = 227 cm and the horizontal separation is x = 14 cm. You must draw the figure properly in your pdf. The x and y directions are shown in the figure. You have the liberty to choose any point as the origin of your coordinate system. (Hint: You may find it convenient to choose q1 or q2 as the origin of your coordinate system.) a) Find out the mass of each sphere. mass of each sphere in S. I. unit Give your answer to at least three significance digits. kg step 2: Now, say we discharge sphere 2, without changing any other variables. Discharging means that the new charge of the sphere 2 is q' = 0. Explain what will happen in your script and answer the followings: b) What will be the new charge of the spheres after they reach equilibrium from step 2. charge of sphere 1 Give your answer to at least three significance digits. C charge of sphere 2 Give your answer to at least three significance digits. C c) What will be the new separation of the spheres after they reach equilibrium from step 2. Hint: Use small angle approximation. equilibrium separation Give your answer to at least three significance digits. m coiling

University Physics Volume 1
University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter2: Vectors
Section: Chapter Questions
Problem 21CQ: What is wrong with the following expressions? How can you correct them? (a) C=AB , (b) C=AB , (c)...
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8.987 × 10° N · m² /C². Vacuum permitivity, eo = -12 F/m. Magnitude of the Charge of one electron, e = -1.60217662 × 10¬19 C. Mass of one electron, m, = 9.10938356 × 10¬31 kg. The gravitational acceleration near 9.8 m/s². Unless specified otherwise, each symbol carries their usual meaning. For example, µC means micro coulomb. Use the following constants if necessary. Coulomb constant, k 8.854 × 10 the surface of Earth g = ceiling /// // L 92 step 1: Two small identically charged conducting spheres 1 and 2 of equal mass are hung from a fixed support with non conducting threads of equal length as shown in the figure. Both the spheres have equal mass m1 = m2 = m and equal charge q1 = q2 = q. Assume that the charge of each sphere is q = 24 nC , the length of the thread is L = 227 cm and the horizontal separation is = 14 cm. You must draw the figure properly in your pdf. The x and y directions are shown in the figure. You have the liberty to choose any point as the origin of your coordinate system. (Hint: You may find it convenient to choose q1 or q2 as the origin of your coordinate system.) a) Find out the mass of each sphere. mass of each sphere in S. I. unit Give your answer to at least three significance digits. kg step 2: Now, say we discharge sphere 2, without changing any other variables. Discharging means that the new charge of the sphere 2 is q' = 0. Explain what will happen in your script and answer the followings: b) What will be the new charge of the spheres after they reach equilibrium from step 2. charge of sphere 1 Give your answer to at least three significance digits. charge of sphere 2 Give your answer to at least three significance digits. c) What will be the new separation of the spheres after they reach equilibrium from step 2. Hint: Use small angle approximation. equilibrium separation Give your answer to at least three significance digits. m ceiling 7/1/// L 93 step 3: Now say we insert another charged sphere 3 in between with a thread of length h which is shown in figure 2. Note that, value of h is the vertical distance from sphere 1 and 2 to the ceiling. Assume that the charge of sphere 3 is q3 from this step. Hint: Use small angle approximation and if you use that then h → L. 3.0 nC. Find the separation after the system reaches equilibrium You may not be able to answer (d),(e) before you find (f), but finding expression for (d),(e) are necessary in order to find (f). d) Find the magnitude of electric force on q due to q2 and call it F21. magnitude of F2,1 Give your answer to at least three significance digits. N e) Find the magnitude of electric force on q1 due to q3 and call it F3.1 magnitude of F3,1 Give your answer to at least three significance digits. f) Find the separation after the system reaches equilibrium from step step 3:. equilibrium separation Give your answer to at least three significance digits. m
Transcribed Image Text:8.987 × 10° N · m² /C². Vacuum permitivity, eo = -12 F/m. Magnitude of the Charge of one electron, e = -1.60217662 × 10¬19 C. Mass of one electron, m, = 9.10938356 × 10¬31 kg. The gravitational acceleration near 9.8 m/s². Unless specified otherwise, each symbol carries their usual meaning. For example, µC means micro coulomb. Use the following constants if necessary. Coulomb constant, k 8.854 × 10 the surface of Earth g = ceiling /// // L 92 step 1: Two small identically charged conducting spheres 1 and 2 of equal mass are hung from a fixed support with non conducting threads of equal length as shown in the figure. Both the spheres have equal mass m1 = m2 = m and equal charge q1 = q2 = q. Assume that the charge of each sphere is q = 24 nC , the length of the thread is L = 227 cm and the horizontal separation is = 14 cm. You must draw the figure properly in your pdf. The x and y directions are shown in the figure. You have the liberty to choose any point as the origin of your coordinate system. (Hint: You may find it convenient to choose q1 or q2 as the origin of your coordinate system.) a) Find out the mass of each sphere. mass of each sphere in S. I. unit Give your answer to at least three significance digits. kg step 2: Now, say we discharge sphere 2, without changing any other variables. Discharging means that the new charge of the sphere 2 is q' = 0. Explain what will happen in your script and answer the followings: b) What will be the new charge of the spheres after they reach equilibrium from step 2. charge of sphere 1 Give your answer to at least three significance digits. charge of sphere 2 Give your answer to at least three significance digits. c) What will be the new separation of the spheres after they reach equilibrium from step 2. Hint: Use small angle approximation. equilibrium separation Give your answer to at least three significance digits. m ceiling 7/1/// L 93 step 3: Now say we insert another charged sphere 3 in between with a thread of length h which is shown in figure 2. Note that, value of h is the vertical distance from sphere 1 and 2 to the ceiling. Assume that the charge of sphere 3 is q3 from this step. Hint: Use small angle approximation and if you use that then h → L. 3.0 nC. Find the separation after the system reaches equilibrium You may not be able to answer (d),(e) before you find (f), but finding expression for (d),(e) are necessary in order to find (f). d) Find the magnitude of electric force on q due to q2 and call it F21. magnitude of F2,1 Give your answer to at least three significance digits. N e) Find the magnitude of electric force on q1 due to q3 and call it F3.1 magnitude of F3,1 Give your answer to at least three significance digits. f) Find the separation after the system reaches equilibrium from step step 3:. equilibrium separation Give your answer to at least three significance digits. m
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