How do i find the higher electric field of these two

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SUMMARY

The discussion focuses on calculating the total electric field at the meeting point of a charged ball and an infinite charged pipe, both with the same radius and charge density (σ). Using Gauss's Law, the electric field (E) for both the ball and the pipe is derived as E = σ/ε₀. Since both fields are equal in magnitude but opposite in direction at point A, the total electric field at that point is indeed zero. This conclusion is confirmed through the application of spherical and cylindrical symmetry in the analysis.

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given a ball and an infinite pipe, both with the same radius and same charge density [tex]\sigma[/tex]
what is the total electric field at the meeting point of the 2 if we bring them close together so that they touch at point A?

what i did was:

the ball has spherical symetry and the pipe has cylindrical symetry, so those are the shapes i will use for my gauss law,

since RA=R

for the ball
[tex]\Phi[/tex]=EA=E(4[tex]\Pi[/tex]R2)=[tex]\sigma[/tex](4[tex]\Pi[/tex]R2)/[tex]\epsilon[/tex]0

E=[tex]\sigma[/tex]/[tex]\epsilon[/tex]0

for the pipe
[tex]\Phi[/tex]=EA=E(2[tex]\Pi[/tex]R*L)=[tex]\sigma[/tex]2[tex]\Pi[/tex]R*L)/[tex]\epsilon[/tex]0

E=[tex]\sigma[/tex]/[tex]\epsilon[/tex]0

does this mean that the total field at point A will be 0 since they have the same field in opposite directions?
does that make sense?
 
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Looks right to me.
 

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