A rectangular pipe, running parallel to the z-axis (from -∞ to + ∞), has three grounded metal sides,...

Question

A rectangular pipe, running parallel to the z-axis (from -∞ to + ∞), has three grounded metal sides, at y = 0, y =a, and x = 0. The fourth side, at x = b, is maintained at a specified potential V₀ (y).

(a) Develop a general formula for the potential inside the pipe.

(b) Find the potential explicitly, for the case V₀ (y) = V₀(a constant).

Robert · Accepted Answer

0(y).
(a) Develop a general formula for the potential within the pipe.
(b) Find the potential explicitly, for the case V0(y) = V0 (a constant).
1. [G 3.14] A rectangular pipe, running parallel to the z−axis (from −∞ to ∞), has three grounded metal sides, at
y = 0, y = a, and x = 0.

A rectangular pipe, running parallel to the z-axis (from -∞ to + ∞), has three grounded metal sides, at y = 0, y =a, and x = 0. The fourth side, at x = b, is maintained at a specified potential V 0...

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