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ceiling 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 qs = 4.5 nC. Find the separation after the system reaches equilibrium from this step. Hint: Use small angle approximation and if you use that then h » L 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 F21 Give your answer to at least three significance digits. N e) Find the magnitude of electric force an qi due to qa and cal l it F3,1 magnitude of F1 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.

ceiling 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 qs = 4.5 nC. Find the separation after the system reaches equilibrium from this step. Hint: Use small angle approximation and if you use that then h » L 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 F21 Give your answer to at least three significance digits. N e) Find the magnitude of electric force an qi due to qa and cal l it F3,1 magnitude of F1 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.

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Use the following constants if necessary. Coulomb constant, k= 8.987 x 10° N - m²/C. Vacuum permitivity, co = 8.854 x 10-12 F/m. Magnitude of the Charge of one electron, e = -1.60217662 x 10-BC. Mass of one electran, m. = 9.10938356 x 10-31 kg. The gravitational acceleration near the surface of Earthg = 9.8 m/. Unless specified atherwise, each symbol carries their usual meaning. For example, uC means micro coulomb. ceiling L 92 K- step 1: Two small identically charged canducting spheres 1 and 2 af equal mass are hung from a ficed support with non conducting threads of equal length as shown in the figure. Both the spheres have equal mass m = mg = m and equal charge q = 2 =4 Assume that the charge af each sphere is q= 36 nC, the length af the thread is L = 228 cm and the harizantal separation is z= 20 cm. You must draw the figure praperly in yaur pdf. The x and y directions are shown in the figure. You have the liberty ta chaose any point as the arigin of your coordinate system. (Hint: You may find it convenient to choase q or g as the arigin of yaur coordinate system.) a) Find out the mass af each sphere. mass of each sphere in S. I. unit Gre yaur anaer to at least thre signicance digits 6.7749*10-4 kg v 6.7749 - 10 4 step 2: Now, say we discharge sphere 2, without changing any other variables. Discharging means that the new charge of the sphere 2 is g = 0. Explain what will happen in your script and answer the follawings: b) What will be the new charge of the spheres after they reach equilibrium from step 2. charge of sphere 1 Gire your anaer to at least three signiicance digits 18*10^-9 18- 10- charge of sphere 2 Gie your anamer to at least three significance digits 18*10-9 18- 10 c) What will be the new separation of the spheres after they reach equilibrium from step 2. Hint: Use small angle approximation. equilibrium separation Gre yaur anaer to at least thre signicance digits א
Transcribed Image Text:Use the following constants if necessary. Coulomb constant, k= 8.987 x 10° N - m²/C. Vacuum permitivity, co = 8.854 x 10-12 F/m. Magnitude of the Charge of one electron, e = -1.60217662 x 10-BC. Mass of one electran, m. = 9.10938356 x 10-31 kg. The gravitational acceleration near the surface of Earthg = 9.8 m/. Unless specified atherwise, each symbol carries their usual meaning. For example, uC means micro coulomb. ceiling L 92 K- step 1: Two small identically charged canducting spheres 1 and 2 af equal mass are hung from a ficed support with non conducting threads of equal length as shown in the figure. Both the spheres have equal mass m = mg = m and equal charge q = 2 =4 Assume that the charge af each sphere is q= 36 nC, the length af the thread is L = 228 cm and the harizantal separation is z= 20 cm. You must draw the figure praperly in yaur pdf. The x and y directions are shown in the figure. You have the liberty ta chaose any point as the arigin of your coordinate system. (Hint: You may find it convenient to choase q or g as the arigin of yaur coordinate system.) a) Find out the mass af each sphere. mass of each sphere in S. I. unit Gre yaur anaer to at least thre signicance digits 6.7749*10-4 kg v 6.7749 - 10 4 step 2: Now, say we discharge sphere 2, without changing any other variables. Discharging means that the new charge of the sphere 2 is g = 0. Explain what will happen in your script and answer the follawings: b) What will be the new charge of the spheres after they reach equilibrium from step 2. charge of sphere 1 Gire your anaer to at least three signiicance digits 18*10^-9 18- 10- charge of sphere 2 Gie your anamer to at least three significance digits 18*10-9 18- 10 c) What will be the new separation of the spheres after they reach equilibrium from step 2. Hint: Use small angle approximation. equilibrium separation Gre yaur anaer to at least thre signicance digits א
ceiling x' 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 = 4.5nC. Find the separation after the system reaches equilibrium from this step. Hint: Use small angle approximation and if you use that then h→ L. 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 qi due to q2 and call it F21. magnitude of F1 Give your answer to at least three significance digits. N e) Find the magnitude of electric force on qi due to qs and call it F1 magnitude of F1 Give your answer to at least three significance digits. N f) Find the separation after the system reaches equilibrium from step step 3:. equilibrium separation Give your answer to at least three significance digits. Im
Transcribed Image Text:ceiling x' 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 = 4.5nC. Find the separation after the system reaches equilibrium from this step. Hint: Use small angle approximation and if you use that then h→ L. 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 qi due to q2 and call it F21. magnitude of F1 Give your answer to at least three significance digits. N e) Find the magnitude of electric force on qi due to qs and call it F1 magnitude of F1 Give your answer to at least three significance digits. N f) Find the separation after the system reaches equilibrium from step step 3:. equilibrium separation Give your answer to at least three significance digits. Im
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