39 Find Green's function in polar coordinates for the infinite sector $0 \le \theta \le a$, $0 \le r < \infty$ vanishing on both faces.
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In polar coordinates, the Laplacian operator is given by: ∇^2 = (1/r) ∂/∂r (r ∂/∂r) + (1/r^2) ∂^2/∂θ^2 where r is the radial coordinate and θ is the angular coordinate. To find the Green's function, we need to solve the equation: (1/r) ∂/∂r (r ∂G/∂r) + (1/r^2) Show more…
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