Charges of three long charged cylinders centered on 1 axis

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The discussion focuses on the electric field generated by three long charged cylinders aligned along a common axis. The central cylinder A has a charge of +3q0, and the task is to determine the charges of cylinders B and C to achieve an electric field of zero at specified points. The initial solutions proposed for the charges were incorrect, as the correct values for point 1 are qB= -3q0 and qC= +3q0, while for point 2, qB= +3q0 and qC= +6q0, and for point 3, qB= +3q0 and qC= -6q0. The discussion highlights the importance of understanding vector concepts in electrostatics to accurately assess the electric field conditions. Ultimately, the correct charge configurations ensure the electric field is zero at the specified locations.
Omar FTM
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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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I got a) impossible , b)qB= -3q0, qC= +3q0 c) qB= +3q0, qC= -6q0 > They are right. :)
 
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