You are working at a technology company. You have been given a task of designing a very small device that will act as an oscillator to control an optical system. The device is constructed as follows. A particle of mass m and charge -g is placed at the center of a uniformly charged ring, where the ring has a total positive charge Q as shown in the figure below. o @ The particle, confined to move along the x-axis, is moved by an external uniform electric field a small distance x along the axis (where x a), where it remains in equilibrium. The external field is then turned off and the particle oscillates along the x-axis on either side of the center of the ring. Your supervisor observes your prototype and decides that the oscilla requency of the charge needs to be increased by a factor of 27. (a) Which parameter-m, q, Q, or a-can be changed by the smallest percentage to achieve the desired frequency? 09 09 O. (b) Determine the percentage change. (Enter the magnitude.)

Principles of Physics: A Calculus-Based Text
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ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
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Chapter19: Electric Forces And Electric Fields
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You are working at a technology company. You have been given a task of designing a very small device that will act as an oscillator to control an optical system. The device is constructed as follows. A particle of mass m and charge -q is placed at the center of a uniformly charged ring, where the ring has a total positive charge Q as shown in the figure below.
Q
O
i
The particle, confined to move along the x-axis, is moved by an external uniform electric field a small distance x along the axis (where x << a), where it remains in equilibrium. The external field is then turned off and the particle oscillates along the x-axis on either side of the center of the ring. Your supervisor observes your prototype and decides that the oscillation
frequency of the charge needs to be increased by a factor of 27.
(a) Which parameter-m, q, Q, or a-can be changed by the smallest percentage to achieve the desired frequency?
Om
O q
O Q
O a
(b) Determine the percentage change. (Enter the magnitude.)
%
Transcribed Image Text:You are working at a technology company. You have been given a task of designing a very small device that will act as an oscillator to control an optical system. The device is constructed as follows. A particle of mass m and charge -q is placed at the center of a uniformly charged ring, where the ring has a total positive charge Q as shown in the figure below. Q O i The particle, confined to move along the x-axis, is moved by an external uniform electric field a small distance x along the axis (where x << a), where it remains in equilibrium. The external field is then turned off and the particle oscillates along the x-axis on either side of the center of the ring. Your supervisor observes your prototype and decides that the oscillation frequency of the charge needs to be increased by a factor of 27. (a) Which parameter-m, q, Q, or a-can be changed by the smallest percentage to achieve the desired frequency? Om O q O Q O a (b) Determine the percentage change. (Enter the magnitude.) %
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