ceiling L 92 Two small identically charged conducting spheres 1and 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 qı=q2=(3.6*10^-8) , the length of the thread is L=160cm and the horizontal separation is x=13cm. 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=(4.5*10^-9)C. 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 (a),(b) before you find (c), but finding expression for (a),(b) are necessary in order to find (c). a) Find the magnitude of electric force on q1 due to q2 momm m b) Find the magnitude of electric force on q1 due to 13? c) Find the separation after the system reaches equilibrium as

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ceiling
L
92
Two small identically charged conducting spheres 1and 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 qı=q2=(3.6*10^-8) , the
length of the thread is L=160cm and the horizontal separation is x=13cm. 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=(4.5*10^-9)C. 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 (a),(b) before you find (c), but finding expression for (a),(b)
are necessary in order to find (c).
a) Find the magnitude of electric force on q1 due to q2
momm m
b) Find the magnitude of electric force on q1 due to 13?
c) Find the separation after the system reaches equilibrium
as
Transcribed Image Text:ceiling L 92 Two small identically charged conducting spheres 1and 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 qı=q2=(3.6*10^-8) , the length of the thread is L=160cm and the horizontal separation is x=13cm. 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=(4.5*10^-9)C. 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 (a),(b) before you find (c), but finding expression for (a),(b) are necessary in order to find (c). a) Find the magnitude of electric force on q1 due to q2 momm m b) Find the magnitude of electric force on q1 due to 13? c) Find the separation after the system reaches equilibrium as
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