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Mathcad Professional 14.0 Parametric Technology Corporation 5 A89A98AC-728C-4766-89E0-58DB6C9252D9 304C2904-F248-46C1-AA35-B1A50E8070B4 00000000-0000-0000-0000-000000000000 00000000-0000-0000-0000-000000000000 Eletromagnetismo - Sadiku 3ª edição Cálculo através da V fem de movimento: a 1 0 0 a 0 1 0 a 0 0 1 B μ I 2 π y B B a B μ I 2 π ρ a B μ I 2 π ρ a a u u a V U μ I 2 π ρ a a U μ I 2 π ρ a simplify I U a 2 μ 2 π ρ a ρ V I U a 2 μ 2 π ρ a ρ y u B a ρ ρ a z u B a 0 a y u B a a ρ ρ z u B a a 0 simplify I a 2 u μ 2 π ρ a ρ y u B a ρ ρ a z u B a 0 a y u B a a ρ ρ z u B a a 0 simplify I a 2 u μ 2 π ρ a ρ Cálculo das integrais de linha individualmente: y u B a ρ ρ a 0 z u B a 0 a I a u μ 2 π a ρ y u B a a ρ ρ 0 z u B a a 0 I a u μ 2 π ρ Cálculo através do Enlace: Cálculo do enlace λ(ρ) λ ρ z y B a ρ ρ a 0 a simplify assume a real assume ρ real assume a 0 assume ρ 0 I a μ ln a ρ ln ρ 2 π Cálculo de V femλ : u ρ z y B a ρ ρ a 0 a simplify assume a real assume ρ real assume a 0 assume ρ 0 I a 2 u μ 2 π ρ a ρ V ρ λ ρ u simplify I a 2 u μ 2 π ρ a ρ Aplicando diretamente o resultado de λ(ρ) obtido: ρ I a μ ln a ρ ln ρ 2 π u simplify I a 2 u μ 2 π ρ a ρ Como era de se esperar por todos os métodos utilizados encontramos o mesmo valor para V fem . iVBORw0KGgoAAAANSUhEUgAAAhAAAABuCAYAAAB2tyoRAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAGvgSURBVHhe7d330zRHdS/w+4/4N1e5 XC4TZAEWGJtgyWCJJKLJYBkskE3OORmbYIFA5AwCkS2CiCLnnHPOIjpne+79tPm+Op67u+/u 7LPzPPPunKqumenpPvmcPtO7O/t/uhMQ/vu///uXZ5vB0HnbwJR4HQpjy7iNbqbE69gwJRn3 wR77ALPPHS34r//6r9b+8z//s/uXf/mXbi4gCsxOtxsYW8ZtdDMlXseGKcm4D/bYB5h97miB 4gG/jv/8z/88FxAVZqfbDYwt4za6mRKvY8OUZNwHe+wDzD53tGAuIFbA7HS7gbFl3EY3U+J1 bJiSjPtgj32A2eeOFswFxAqYnW43MLaM2+hmSryODVOScR/ssQ8w+9zRgrmAWAGz0+0GxpZx G91MidexYUoy7oM99gFmnztaMBcQK2B2ut3A2DJuo5sp8To2TEnGfbDHPsDsc0cLBhUQJvQb BEG2qLnnpx7OK+RenR9YNDat0qrn9TpQzzeBofP6sIyvRbBLXqP/2qru1oWMNXcdmSoNLXzo r5B7dXwd67gMMn7R2FXzjgdD5y6bp7+2PiybtynQQW0HhbfCMpyhCSKnFj6W2X+XgN66EH7D 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