The chargers at point A and B are fixed. The charge at the midpoint M is at equilibrium due to coulomb force. The value of all the charges are Q and the value of d is 1m. If we pull the charge at point M horizontally at a distance x, (a) What will be the magnitude and direction of resultant force on the middle charge? (b) If we let the charge free at that position, then it will start to oscillate. Determine the period of this small oscillation. Use the mass of each of the charges as m

Principles of Physics: A Calculus-Based Text
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Chapter19: Electric Forces And Electric Fields
Section: Chapter Questions
Problem 11CQ
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The chargers at point A and B are fixed. The charge at the midpoint M is at equilibrium
due to coulomb force. The value of all the charges are Q and the value of d is
1m. If we pull the charge at point M horizontally at a distance x,

(a) What will be the magnitude and direction of resultant force on the middle charge?
(b) If we let the charge free at that position, then it will start to oscillate. Determine
the period of this small oscillation. Use the mass of each of the charges as m
[Hint: use Taylor expansion]

3. Consider the following setup,
A
M d
B
Q
|¨¨ï¨¨¨ Q
The chargers at point A and B are fixed. The charge at the midpoint M is at equi-
librium due to coulomb force. The value of all the charges are Q and the value of d is
1m. If we pull the charge at point M horizontally at a distance x,
(a) What will be the magnitude and direction of resultant force on the middle charge?
(b) If we let the charge free at that position, then it will start to oscillate. Determine
the period of this small oscillation. Use the mass of each of the charges as m
[Hint: use Taylor expansion]
d
Transcribed Image Text:3. Consider the following setup, A M d B Q |¨¨ï¨¨¨ Q The chargers at point A and B are fixed. The charge at the midpoint M is at equi- librium due to coulomb force. The value of all the charges are Q and the value of d is 1m. If we pull the charge at point M horizontally at a distance x, (a) What will be the magnitude and direction of resultant force on the middle charge? (b) If we let the charge free at that position, then it will start to oscillate. Determine the period of this small oscillation. Use the mass of each of the charges as m [Hint: use Taylor expansion] d
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