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  3. 3 a very long zdirection rectangular bar has three of...

Question: 3 a very long zdirection rectangular bar has three of...

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3. A very long (z-direction) rectangular bar has three of its lateral sides held at a fixed temperature; the temperature distribution across the fourth side is sinusoidal with a maximum value Om (see the figure above). Find the temperature distribution within the bar. 0- sin a The temperature, 0, obeys Laplaces equation in x and y. Write down the equation b) What are the boundary conditions for this problem? c) The generic solution obeys: 0-0 Apply the homogeneous boundary conditions (0-0) to evaluate as many constants as you can. d) The full solution to the problem is a sum of many terms of equation (3). Use the summation process in the book to evaluate the last integration constant e What is the temperature at the center of the block?

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