A hollow box (with sides of length a=0.11m,b=0.21m and c=0.31m ) 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=10V and V2=16V. (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 (a/2,0,c/2). The permittivity of vacuum is equal to 0=8.85421012C2/Nm2. 1. A hollow box (with sides of length a=0.11m,b=0.21m and c=0.31 consists of 4 metal plates, which are welded together and grounded. The top a bottom of the box are made of separate sheets of metal, insulated from the othe and held at a constant potential V1=10V and V2=16V. (i) Derive expression for the electrostatic potential inside the box. (ii) What should potential at the (a/2,b/2,c/2) be? (iii) Derive expressions for the char densities at (a/2,b/2,0),(a/2,b/2,c), and (a/2,0,c/2). The permittivity of vacuum is equal to 0=8.85421012C2/Nm2. (r)=40r21r^p d(r)=401(r31)i=13j=13r^ir^jQij =n=1321{3(ri)n(rj)nrn2ij}qn A hollow box (with sides of length a=0.11m,b=0.21m and c=0.31m ) 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=10V and V2=16V. (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 (a/2,0,c/2). The permittivity of vacuum is equal to 0=8.85421012C2/Nm2. 1. A hollow box (with sides of length a=0.11m,b=0.21m and c=0.31 consists of 4 metal plates, which are welded together and grounded. The top a bottom of the box are made of separate sheets of metal, insulated from the othe and held at a constant potential V1=10V and V2=16V. (i) Derive expression for the electrostatic potential inside the box. (ii) What should potential at the (a/2,b/2,c/2) be? (iii) Derive expressions for the char densities at (a/2,b/2,0),(a/2,b/2,c), and (a/2,0,c/2). The permittivity of vacuum is equal to 0=8.85421012C2/Nm2. (r)=40r21r^p d(r)=401(r31)i=13j=13r^ir^jQij =n=1321{3(ri)n(rj)nrn2ij}qn