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please show work Calculate the following property of the Maxwell stress tensor W

ID: 2103932 • Letter: P

Question


please show work

Calculate the following property of the Maxwell stress tensor Where the Maxwell stress tensor is defined as Tij = epsilon 0(Ei Ej - 1/2 delta ij E2) + 1/ mu 0(Bi Bj - 1/2 delta ij B2) Hint: you are looking for divergence of the tensor, of course. Is your answer a tensor with dimensions N times 1, or a vector with dimensions Nx1, or a scalar variable ? Calculate the sum of the three diagonal elements of the Maxwell stress tensor. Is your answer a tensor with dimensions N times N, or a vector with dimensions N times 1, or a scalar variable ? Can you relate the calculated property of the Maxwell stress tensor to other important characteristics of E&M; fields?

Explanation / Answer

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