Question
1. A hollow box (with sides of length a = 0.46 m, b = 0.56 m and c = 0.66 m) consists of 4 metal plates, which are welded together and grounded. The top and bottom of the box are made of separate sheets of metal, insulated from the others, and held at a constant potential V1 = 20 V and V2 =50 V. (i) Derive an expression for the electrostatic potential inside the box. (ii) What should the potential at the (a/2, b/2, c/2) be? (iii) Derive expressions for the charge densities at (a/2, b/2,0), (a/2,b/2,c), and (0,b/2,c/2). The permittivity of vacuum is equal to Eo = 8.8542 x 10-12 C2 /N . m2. Z C V = V2 V = 0 7 V = V1 b y a x
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