You are working for a manufacturing company. Your supervisor has an idea for controlling the position of a small bead by using electric fields. The physical setup is shown in the figure below. mq Fixed beads Movable bead -pq a Three fixed beads are secured along the y-axis, with a bead of charge +ng at the origin and charges of -mq a distance a above and below the origin. The values of m and n can be set by an operator. On an insulating wire laid along the x-axis, movable bead with charge -pq is placed. By adjusting m and n, the movable bead can be moved to different equilibrium positions x along the wire. Your supervisor asks you to set up the system and test it. In particular, he asks for answers to the following questions. (a) If n 3 in particular test, what is the value of m that will place the movable bead in equilibrium at x = a? m = 4.23 (b) In a second test with n= 3, what is the value of m that will place the movable bead in equilibrium at x = 2a? m= 2.097 ✓ (c) If n = 3 and the largest you can make m is m = 7, what is the closest equilibrium position of the bead to the origin? (Give your answer in terms of a.) 0.74 a a +ng

You are working for a manufacturing company. Your supervisor has an idea for controlling the position of a small bead by using electric fields. The physical setup is shown in the figure below. mq Fixed beads Movable bead -pq a Three fixed beads are secured along the y-axis, with a bead of charge +ng at the origin and charges of -mq a distance a above and below the origin. The values of m and n can be set by an operator. On an insulating wire laid along the x-axis, movable bead with charge -pq is placed. By adjusting m and n, the movable bead can be moved to different equilibrium positions x along the wire. Your supervisor asks you to set up the system and test it. In particular, he asks for answers to the following questions. (a) If n 3 in particular test, what is the value of m that will place the movable bead in equilibrium at x = a? m = 4.23 (b) In a second test with n= 3, what is the value of m that will place the movable bead in equilibrium at x = 2a? m= 2.097 ✓ (c) If n = 3 and the largest you can make m is m = 7, what is the closest equilibrium position of the bead to the origin? (Give your answer in terms of a.) 0.74 a a +ng

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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Question

You are working for a manufacturing company. Your supervisor has an idea for controlling the position of a small bead by using electric fields. The physical setup is shown in the figure below.
-mq
Fixed
beads
Movable
bead
-pq
-mq
Three fixed beads are secured along the y-axis, with a bead of charge +ng at the origin and charges of -mq a distance a above and below the origin. The values of m and n can be set by an operator. On
an insulating wire laid along the x-axis, a movable bead with charge -pq is placed. By adjusting m and n, the movable bead can be moved to different equilibrium positions x along the wire. Your
supervisor asks you to set up the system and test it. In particular, he asks for answers to the following questions.
(a) If n = 3 in a particular test, what is the value of m that will place the movable bead in equilibrium at x = a?
m= 4.23
(b) In a second test with n = 3, what is the value of m that will place the movable bead in equilibrium at x = 2a?
m = 2.097
(c) If n = 3 and the largest you can make m is m = 7, what is the closest equilibrium position of the bead to the origin? (Give your answer in terms of a.)
0.74
✓ a
(d) You decide to impress your supervisor by finding the range of values of m/n that will place the bead in equilibrium somewhere along the x-axis. Note that m, n, and p are not necessarily integers.
(Give your answer as an inequality. Use the following as necessary: m, n, p.)
2.35
a
+ng
a

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