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In this paper, we propose an alternative semianalytical solution to problems of field-to-wire coupling in an electrically large cavity employing a different method of derivation. This model is based on transmission-line (TL) theory and the plane wave integral representation for the fields as well as the statistical properties of the fields in a well-stirred reverberation chamber. Compared to an earlier semianalytical solution which is a sum of double integrals over the length and/or the height of the TL, this solution is also a sum of double integrals but over the solid angle. In the earlier one, some terms were neglected due to a simplification, whereas the solution proposed here is a complete one without neglecting any terms. However, when the neglected terms are included in the earlier one, these two solutions are equivalent to each other. Furthermore, directly from this semianalytical solution, we also derive a closed-form solution under some reasonable approximations. Although the solutions are derived for the single-wire configuration, they can be converted to that for the double-wire configuration as well. The results obtained by the aforementioned methods and the other methods are compared with each other in several numerical examples.