Use the following constants if necessary. Coulomb constant, k = 8.987 x 10° N - m²/C2. Vacuum permitivity. €g = 8.854 x 10-12 F/m. Magnitude of the Charge of one electron, e = -1.60217662 x 10-19 C. Mass of one electron, m = 9.10938356 x 10-31 kg. The gravitational acceleration near the surface of Earth g = 9.8 m/s2. Unless specified otherwise, each symbol carries their usual meaning. For example, uC means micro coulomb . 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. 0.113 m ceiling // / / / // 0.113 ceiling Y L Y 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 m, = m2 = m and equal charge q = 2 = 9. Assume that the charge of each sphere is g = 20 nC, the length of the thread is L= 243 cm and the horizontal separation is z= 18 cm. 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 q = 2.5 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 (1 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 q or as the origin of your coordinate system.) d) Find the magnitude of electric force on g due to g and call it F21 - magnitude of F21 Give your answer to at least three significance digits. a) Find out the mass of each sphere. 4.456*10-5 mass of each sphere in S. I. unit Give your answer to at least three significance digits. k v 3.05368671*10^-4 4.456 - 10-5 e) Find the magnitude of electric force on n due to gs and call it F31 3.05368671 - 104 magnitude of F step 2: Now, say we discharge sphere 2, without changing any other variables. Discharging means that the new charge of the sphere 2 is % = 0. Explain what will happen in your script and answer the followings: 4.456*10^-5 N V Give your answer to at least three significance digit 4.456 - 10-5 b) What will be the new charge of the spheres after they reach equilibrium from step 2. f) Find the separation after the system reaches equilibrium from step step 3: 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. equilibrium separation 0.142 m v Give your answer to at least three signi 0.142 1*10^-8 1*10A-8 1. 10-8 1-10-8 Page 2 Раде 1

Use the following constants if necessary. Coulomb constant, k = 8.987 x 10° N - m²/C2. Vacuum permitivity. €g = 8.854 x 10-12 F/m. Magnitude of the Charge of one electron, e = -1.60217662 x 10-19 C. Mass of one electron, m = 9.10938356 x 10-31 kg. The gravitational acceleration near the surface of Earth g = 9.8 m/s2. Unless specified otherwise, each symbol carries their usual meaning. For example, uC means micro coulomb . 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. 0.113 m ceiling // / / / // 0.113 ceiling Y L Y 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 m, = m2 = m and equal charge q = 2 = 9. Assume that the charge of each sphere is g = 20 nC, the length of the thread is L= 243 cm and the horizontal separation is z= 18 cm. 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 q = 2.5 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 (1 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 q or as the origin of your coordinate system.) d) Find the magnitude of electric force on g due to g and call it F21 - magnitude of F21 Give your answer to at least three significance digits. a) Find out the mass of each sphere. 4.45610-5 mass of each sphere in S. I. unit Give your answer to at least three significance digits. k v 3.0536867110^-4 4.456 - 10-5 e) Find the magnitude of electric force on n due to gs and call it F31 3.05368671 - 104 magnitude of F step 2: Now, say we discharge sphere 2, without changing any other variables. Discharging means that the new charge of the sphere 2 is % = 0. Explain what will happen in your script and answer the followings: 4.45610^-5 N V Give your answer to at least three significance digit 4.456 - 10-5 b) What will be the new charge of the spheres after they reach equilibrium from step 2. f) Find the separation after the system reaches equilibrium from step step 3: 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. equilibrium separation 0.142 m v Give your answer to at least three signi 0.142 110^-8 1*10A-8 1. 10-8 1-10-8 Page 2 Раде 1