A cubical box (sides of length a) consists of five metal plates, which are welded together and grounded. The top is made of a separate sheet of metal, insulated from the others, and held at a constant potential Vo. Can you predict what the the potential at the center of the cube is without explicitly solving Laplace's equation? Provide a rigorous mathematical justification for your answer.
A cubical box (sides of length a) consists of five metal plates, which are welded together and grounded. The top is made of a separate sheet of metal, insulated from the others, and held at a constant potential Vo. Can you predict what the the potential at the center of the cube is without explicitly solving Laplace's equation? Provide a rigorous mathematical justification for your answer.
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Could u give a good mathematical expl
Transcribed Image Text:A cubical box (sides of length a) consists of five metal plates, which are welded
together and grounded. The top is made of a separate sheet of metal, insulated from
the others, and held at a constant potential Vo.
Can you predict what the the potential at the center of the cube is without explicitly
solving Laplace's equation? Provide a rigorous mathematical justification for your
answer.
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