Charges of three long charged cylinders centered on 1 axis

In summary, the figure shows three long charged cylinders with the central cylinder A having a uniform charge qA= +3q0. The question asks for the charges of the other two cylinders, qb and qc, at different points between and outside the cylinders. Based on the concept of vectors, the correct solutions are a) qB= +3q0, qC= -6q0 and b) qB= +3q0, qC= +6q0. However, the solution provided by the person in the conversation was incorrect, as they stated that the solutions were impossible. The correct solutions show that the charge of cylinder B is opposite to that of cylinder A, while the charge of cylinder C is twice the
  • #1
Omar FTM
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Thread moved from the technical forums, so no Homework Help Template is shown.
The figure shows a section of three long charged cylinders centered on the same axis. Central cylinder A has a uniform charge qA= +3q0.
What are the charges of qb and qc if E is 0 on point >
a) 1 ( between A & B )
b) 2 ( between B & C )
c) 3 ( out side the cylinders )
My solutions were based on the concept of vectors
a) qB= +3q0, qC= -6q0
b) qB= +3q0, qC= +6q0
c) That's impossible. ( the other choices were impossible )
But they were wrong.
Could you explain what's wrong with my solutions ?
 

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  • #2
I got a) impossible , b)qB= -3q0, qC= +3q0 c) qB= +3q0, qC= -6q0 > They are right. :)
 
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Related to Charges of three long charged cylinders centered on 1 axis

1. What is the concept behind charges of three long charged cylinders centered on 1 axis?

The concept behind charges of three long charged cylinders centered on 1 axis is that three long cylinders with equal and opposite charges are placed on the same axis, creating a system with a net charge of zero.

2. How does the distance between the cylinders affect the charges?

The distance between the cylinders affects the charges by changing the electric field between them. As the distance increases, the electric field decreases and the charges on the cylinders become more spread out.

3. How do the charges on the cylinders interact with each other?

The charges on the cylinders interact with each other through the electric force. Since the charges are equal and opposite, they will attract each other and create a net force of zero on the entire system.

4. What is the significance of the cylinders being long?

The significance of the cylinders being long is that it allows for an infinite line of charge, which simplifies the calculations of the electric field and potential at any point in space.

5. Can this concept be applied to other shapes besides cylinders?

Yes, this concept can be applied to other shapes besides cylinders. As long as the charges are equal and opposite and the shape allows for an infinite line of charge, this concept can be applied to other shapes such as spheres or planes.

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