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Use the following constants if necessary. Coulomb constant, k=8.987x10^9N-m2/C2. Vacuum permittivity, eo=8.854x10^-12F/m. Magnitude of the Charge of one electron, e=-1.60217662×10^-19C. Mass of one electron, me=9.10938356×10^-31kg. The gravitational acceleration near the surface of Earth g=9.8m/s^2. Unless specified otherwise, each symbol carries their usual meaning. For example, µC means microcoulomb. 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 mi=m2=m and equal charge q1=q2=q. Assume that the charge of each sphere is q=60nC, the length of the thread is L=200cm and the horizontal separation is x=18cm. ceiling //// / L 92 K- 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 qi 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 א

Use the following constants if necessary. Coulomb constant, k=8.987x10^9N-m2/C2. Vacuum permittivity, eo=8.854x10^-12F/m. Magnitude of the Charge of one electron, e=-1.60217662×10^-19C. Mass of one electron, me=9.10938356×10^-31kg. The gravitational acceleration near the surface of Earth g=9.8m/s^2. Unless specified otherwise, each symbol carries their usual meaning. For example, µC means microcoulomb. 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 mi=m2=m and equal charge q1=q2=q. Assume that the charge of each sphere is q=60nC, the length of the thread is L=200cm and the horizontal separation is x=18cm. ceiling //// / L 92 K- 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 qi 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 א

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AutoSave Document2 - Word O Search (Alt+Q) Sajjad Choudhury ff SC File Home Insert Draw Design Layout References Mailings Review View Help Acrobat O Comments A Share 몸 Breaks v Indent Spacing Align v 1: Line Numbers v E Left: IE Before: 0 pt A Group v 0" Margins Orientation Size Columns Position Wrap Selection Bring Text v Forward v Backward v Send a- bc Hyphenation =+ Right: 0" *E After: 0 pt Pane Rotate v Page Setup Paragraph Arrange Use the following constants if necessary. Coulomb constant, k=8.987×10^9N•m2/C2. Vacuum permittivity, e0=8.854×10^-12F/m. Magnitude of the Charge of one electron, e=-1.60217662×10^-19C. Mass of one electron, me=9.10938356×10^-31kg. The gravitational acceleration near the surface of Earth g=9.8m/s^2. Unless specified otherwise, each symbol carries their usual meaning. For example, uC means microcoulomb. 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=60nC, the length of the thread is L=200cm and the horizontal separation is x=18cm. ceiling Y L 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 Page 1 of 3 418 words English (United States) Accessibility: Investigate O Focus 目 107%
Transcribed Image Text:AutoSave Document2 - Word O Search (Alt+Q) Sajjad Choudhury ff SC File Home Insert Draw Design Layout References Mailings Review View Help Acrobat O Comments A Share 몸 Breaks v Indent Spacing Align v 1: Line Numbers v E Left: IE Before: 0 pt A Group v 0" Margins Orientation Size Columns Position Wrap Selection Bring Text v Forward v Backward v Send a- bc Hyphenation =+ Right: 0" *E After: 0 pt Pane Rotate v Page Setup Paragraph Arrange Use the following constants if necessary. Coulomb constant, k=8.987×10^9N•m2/C2. Vacuum permittivity, e0=8.854×10^-12F/m. Magnitude of the Charge of one electron, e=-1.60217662×10^-19C. Mass of one electron, me=9.10938356×10^-31kg. The gravitational acceleration near the surface of Earth g=9.8m/s^2. Unless specified otherwise, each symbol carries their usual meaning. For example, uC means microcoulomb. 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=60nC, the length of the thread is L=200cm and the horizontal separation is x=18cm. ceiling Y L 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 Page 1 of 3 418 words English (United States) Accessibility: Investigate O Focus 目 107%
AutoSave ff Document2 - Word Search (Alt+Q) Sajjad Choudhury SC File Home Insert Draw Design Layout References Mailings Review View Help Acrobat O Comments A Share 몸 Breaks v Indent Spacing Align v 1: Line Numbers v E Left: E Before: 15 pt A Group v 0" Margins Orientation Size Columns Position Wrap Selection Bring Text v Forward - Backward v Send a- bc Hyphenation =+ Right: 0" *E After: 17 pt Pane Rotate Page Setup Paragraph Arrange 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'2=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 charge of sphere 2 c) What will be the new separation of the spheres after they reach equilibrium from step 2. Hint: Use small angle approximation. equilibrium separation step 3: Now say we insert another charged sphere 3 in between with a thread of length h. 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=7.5nC. Find the separation after the system reaches equilibrium from this step. Hint: Use small angle approximation and if you use that then hL. 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 q1 due to q2 and call it F2,1 magnitude of F 2,1: e) Find the magnitude of electric force on q1 due to q3 and call it F3,1 magnitude of F 3,1: f) Find the separation after the system reaches equilibrium from step step 3:. equilibrium separation: Page 2 of 3 414 words English (United States) Accessibility: Investigate O Focus 目 107%
Transcribed Image Text:AutoSave ff Document2 - Word Search (Alt+Q) Sajjad Choudhury SC File Home Insert Draw Design Layout References Mailings Review View Help Acrobat O Comments A Share 몸 Breaks v Indent Spacing Align v 1: Line Numbers v E Left: E Before: 15 pt A Group v 0" Margins Orientation Size Columns Position Wrap Selection Bring Text v Forward - Backward v Send a- bc Hyphenation =+ Right: 0" *E After: 17 pt Pane Rotate Page Setup Paragraph Arrange 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'2=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 charge of sphere 2 c) What will be the new separation of the spheres after they reach equilibrium from step 2. Hint: Use small angle approximation. equilibrium separation step 3: Now say we insert another charged sphere 3 in between with a thread of length h. 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=7.5nC. Find the separation after the system reaches equilibrium from this step. Hint: Use small angle approximation and if you use that then hL. 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 q1 due to q2 and call it F2,1 magnitude of F 2,1: e) Find the magnitude of electric force on q1 due to q3 and call it F3,1 magnitude of F 3,1: f) Find the separation after the system reaches equilibrium from step step 3:. equilibrium separation: Page 2 of 3 414 words English (United States) Accessibility: Investigate O Focus 目 107%
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