How Do You Calculate the Maxwell Stress Tensor Between Cylindrical Shells?

AI Thread Summary
To calculate the Maxwell stress tensor between two nonconducting cylindrical shells surrounding current-carrying wires, one must first determine the electric and magnetic fields at the midpoint between the shells. The electric field is influenced by the charge per unit length of the shells, with the x shell having a positive charge and the y shell a negative charge. The relevant equation for the Maxwell stress tensor is T_ij = ε₀(E_iE_j - δ_ijE²) + (1/μ)(B_iB_j - δ_ijB²). The user seeks assistance in finding the i and j components of the electric and magnetic fields necessary for this calculation. Understanding these components is crucial for accurately computing the Maxwell stress tensor in this scenario.
tomfrank
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Homework Statement


x and y are nonconducting cylindrical shells. Both cylindrical shells are surrounding long wires that are carrying current. the x shell out of the page and the y shell into the page.
x radius has a charge per unit length = to +\lambda
y radius has a charge per unit length = to -\lambda
I need to calculate the maxwell stress tensor at a midway between x and y. (from the picture)

Homework Equations



Tij =\epsilono(EiEj-\deltaijE2)+(1/\mu)(BiBj-\deltaijB2)

The Attempt at a Solution



How do I exactly found the i and j component of the magnetic and electric field?
 

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can anyone help me?
 
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