ceiling Y 92 Two small identically charged conducting spheres 1 and 2 of equal mass are hung from a fixed support with non conductina threads of equal lenath as shown in the fiqure. There masses are mi = m2 = m = 6.0589*10^-4KG and charges are q1, 2 for spheres 1 and 2 respectively. Assume that the charge of each sphere is q = 92 = 14nC the length of the thread is L = 207 cm and the horozontal separation is = 17 cm. 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 = 3.5 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. a) Find the separation after the system reaches equilibrium b)Find the magnitude of electric force on due to g2 and call it Fa,1. c) Find the magnitude of electric force on q due to g3 and call it F3.1

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Solve A.IF possible then solve B and C

ceiling
Y
L
93
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 fiqure. There masses are mi = m2 = m = 6.0589*10^-4KG
and charges are qi, q2 for spheres 1 and 2 respectively. Assume that the charge of each sphere is q = 42 = 14nC
the length of the thread is L = 207 cm and the horozontal separation is a = 17 cm.
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 = 3.5 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.
a) Find the separation after the system reaches equilibrium
b) Find the magnitude of electric force on q due to q2 and call it F,1.
c) Find the magnitude of electric force on qi due to q3 and call it Fg,1
Transcribed Image Text:ceiling Y L 93 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 fiqure. There masses are mi = m2 = m = 6.0589*10^-4KG and charges are qi, q2 for spheres 1 and 2 respectively. Assume that the charge of each sphere is q = 42 = 14nC the length of the thread is L = 207 cm and the horozontal separation is a = 17 cm. 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 = 3.5 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. a) Find the separation after the system reaches equilibrium b) Find the magnitude of electric force on q due to q2 and call it F,1. c) Find the magnitude of electric force on qi due to q3 and call it Fg,1
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