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A cubical box (sides of length a) consists of five metal
Chapter 3, Problem 16P(choose chapter or problem)
Problem 16P
A cubical box (sides of length a) consists of five metal plates, which are welded together and grounded (Fig. 3.23). The top is made of a separate sheet of metal, insulated from the others, and held at a constant potential V0. Find the potential inside the box. [What should the potential at the center (a/2, a/2, a/2) be? Check numerically that your formula is consistent with this value.]11
Questions & Answers
QUESTION:
Problem 16P
A cubical box (sides of length a) consists of five metal plates, which are welded together and grounded (Fig. 3.23). The top is made of a separate sheet of metal, insulated from the others, and held at a constant potential V0. Find the potential inside the box. [What should the potential at the center (a/2, a/2, a/2) be? Check numerically that your formula is consistent with this value.]11
ANSWER:
Solution 16P
Step 1 of 7:
Consider a cubical box of side length which consist of five metal plates welded together and grounded. We need to find out the potential inside the box.
The boundary conditions are,
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- ,
- ,
- ,
- ,
- ,