ceiling ///// L K- 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 = 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. 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 F21. magnitude of F21 Give your answer to at least three significance digits. N e) Find the magnitude of electric force on q1 due to 93 and call it F3,1 magnitude of F3.1 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.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Need the answer of d,e & f. Thanks
Use the following constants if necessary. Coulomb constant, k = 8.987 x 10° N · m2 /C2. Vacuum permitivity,
€0 = 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, µC means micro coulomb.
ceiling
Y
92
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 = 42 = q.
Assume that the charge of each sphere is q = 28 nC, the length of the thread is L = 234 cm and the horizontal separation is
x = 17 cm.
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.)
Transcribed Image Text:Use the following constants if necessary. Coulomb constant, k = 8.987 x 10° N · m2 /C2. Vacuum permitivity, €0 = 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, µC means micro coulomb. ceiling Y 92 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 = 42 = q. Assume that the charge of each sphere is q = 28 nC, the length of the thread is L = 234 cm and the horizontal separation is x = 17 cm. 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.)
ceiling
//,///
L
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 = 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.
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 F2,1
Give your answer to at least three significance digits.
N
e) Find the magnitude of electric force on q1 due to q3 and call it F3,1
magnitude of F3.1
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.
m
Transcribed Image Text:ceiling //,/// L 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 = 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. 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 F2,1 Give your answer to at least three significance digits. N e) Find the magnitude of electric force on q1 due to q3 and call it F3,1 magnitude of F3.1 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. m
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