Visualizing & Solving a 2D Laplace Eq problem (Polar Coordinates)

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Using boundary conditions at -β/2 and +β/2 simplifies the visualization and solution of the 2D Laplace equation in polar coordinates. The accuracy of the diagram is questioned, prompting a review of its correctness alongside other components of the problem. The discussion emphasizes the importance of precise boundary conditions for effective problem-solving. Clarifying these aspects is crucial for achieving a correct solution. Overall, ensuring accurate boundary conditions and diagrams is essential in solving Laplace equations effectively.
majormuss
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Homework Statement
See the attached screenshots for the details and my progress so far.

1)My first question is: Is my picture an accurate rendition of the problem?
2) Am I on the right track with my Boundary Conditions and my first few steps at solving part a)?
Thanks in advance.
Relevant Equations
Laplace Eq.
ph.png
242649
 
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It would be easier if you took the ##\theta## boundary conditions at ##-\beta/2## and ##+\beta/2##
 
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Chestermiller said:
It would be easier if you took the ##\theta## boundary conditions at ##-\beta/2## and ##+\beta/2##
Thanks, I agree that would make things easier. Is my diagram correct, though? and is everything else correct?
 

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