Hello, How could Numerically calculating the charge density along a boundary( in

Question

Hello,

How could Numerically calculating the charge density along a boundary( inner and our boundaries) via MATLAB?

Thanks!

Here is an example hint:

If A and B are 9x9 matrices, you can assign the top row of A and B with the following:

B ( 1 , : ) = A ( 1 , : ) ;

And you can assign the sum of the last column of B to C with this:

C = sum ( B ( : , 9 ) ) ;

Ps(ik), Conductor surface in x-y cross-section i,k Conductor surface in x-y cross-section where h is the grid spacing for the FDT. Conductor-air Interface Conductor-air Interface i k i+1,k E(x, y) l.k Exact equation: Numerical approximation Continuous space Discrete space (FDT) Figure 3. Numerically calculating the electric field at the surface of a conductor. Not that, for the FDT, h is the grid spacing for the FDT. Conductor-air Interface Conductor-air Interface Ps(ik) Ps (x, y)- E (x, y) i,k Numerical approximation Exact equation ps(x,y) -EE(x, y) Continuous space Discrete space (FDT) Figure 4. Numerically calculating the surface charge density at the surface of a conductor.

Explanation / Answer

Ps( i,k ), Conductor surface in x-y cross-section i,k Conductor surface in x-y cross-section where h is the grid spacing for the FDT. Conductor-air Interface Conductor-air Interface (i ,k) (i+1,k E(x, y) ) i.k Exact equation: Numerical approximation Continuous space Discrete space (FDT) Figure 3.

Numerically calculating the electric field at the surface of a conductor. Not that, for the FDT, h is the grid spacing for the FDT. Conductor-air Interface Conductor-air Interface Ps(i,k) Ps (x, y)- E (x, y) i,k Numerical approximation Exact equation ps(x,y) -EE(x, y) Continuous space Discrete space (FDT) Figure 4. Numerically calculating the surface charge density at the surface of a conductor.

We can calculate charge density by using PDE toolbox .

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