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Two positive charges +q1 and +q2 are placed at fixed positions x=a and x=b (b>a>0) respectively. If a third particle of charge +Q and mass M is brought in from infinity and placed at x = c (for c > b) then: a) How much work was done to bring this third object in from infinity to c? b) If the object is now released and allowed to move under the influence of the other two charges, what will its speed be after it travels a distance d away from c? c) How fast will it be when it gets very far away from the two stationary charges?

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Tod Thiel
Tod ThielLv2
30 Mar 2019

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Related textbook solutions

Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

Related questions

Two particles, each of charge q and mass m, are held infixedpositions at a distance d from each other. A thirdidenticalparticle is then brought in from infinity and placed sothat aperfect equlateral triangle is formed by the particles, asdepictedin the diagram. Assume that the third particle was at restwhen itwas infinitely far away.

Given that q = 2.0 μC, m = 5.0 mg, and d = 2.0 cm:
a ) Determine the work which must be done by an externalagentto move the third particle into its position while the othertwoparticles remain in place.
b) Suppose that the three particles are suddenly released(fromrest) and allowed to move apart from each other, outtowardinfinity. Determine their final speeds when they areinfinitely faraway from each other.
Hint: Consider the symmetry of the situation to determinehowthe final speeds of the particles are related to eachother.
Please provide step by step solutions please...
 Two identical particles, each having charge +q, are fixed in space and separated by a distance d. A third particle with charge −Q is free to move and lies initially at rest on the perpendicular bisector of the two fixed charges a distance x from the midpoint between those charges (Fig. P22.13). (a) Show that if x is small compared with d, the motion of −Q is simple harmonic along the perpendicular bisector. (b) Determine the period of that motion. (c) How fast will the charge −Q be moving when it is at the midpoint between the two fixed charges if initially it is released at a distance a << d from the midpoint?

Figure P22.13

Chapter 22, Problem 13P, Review. Two identical particles, each having charge +q, are fixed in space and separated by a

 

Textbook Problem

Review. Two identical particles, each having charge +q, are fixed in space and separated by a distance d. A third particle with charge −Q is free to move and lies initially at rest on the perpendicular bisector of the two fixed charges a distance x from the midpoint between those charges (Fig. P22.13). (a) Show that if x is small compared with d, the motion of −Q is simple harmonic along the perpendicular bisector. (b) Determine the period of that motion. (c) How fast will the charge −Q be moving when it is at the midpoint between the two fixed charges if initially it is released at a distance a << d from the midpoint?

Figure P22.13

Chapter 22, Problem 13P, Review. Two identical particles, each having charge +q, are fixed in space and separated by a

 

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