Análise de Circuito RLC e Funções Exponenciais

Xt x₀ eαt X1 15x₀ x₀ eα 15 eα α ln15 α 04055 Xt x₀ e04055t 3x₀ x₀ e04055t t ln304055 t 271h Xt x₀ eαt X15 1 000043x₀ x₀ eα 099957 eα α ln099957 α 000002867 Xt x₀ e000002867t 12x₀ x₀ e000002867t t ln12000002867 t 24177 anos Xt x₀ eαt 12x₀ X5600 x₀ eα5600 α ln125600 α 000012378 Xt x₀ e000012378t 11000 x₀ x₀ e000012378t t ln11000000012378 t 5580 anos X1t W1H Y1H sumi14 vecFi m1 ddotW1H X1ddotH W1H Y1H yaH 1 0 0 0 1 0 0 0 C xaH μaH iH fracdqHdt o qH int0t iH dt vecH fracqHC o vecH frac1C int0t iH dt o int0t iH dt C vecH o iH C fracdvecHdt o fracdiHdt C fracd2vcHdt2 o ξ fracln032ln032 h2 o ξ 0358 o aus 4 o ωn frac4ξ ωn o ωn 2235 rads vcH R fracvcHL frac1LC vcH frac1LC μH o frac1LC vcH 2ξωn vcH ω2n vcH ω2n μH o ωn2 frac1LC o C frac1ωn2 L o C 10 μF o 2ξωn fracRL o R 2ξωn L o R 2 cdot 0358 cdot 2235 cdot 200 cdot 103 o R 2052 x₁t ut x₂t vt x₁t ẋ₂t vt 1LC x₁t RL x₂t 1LC μt Circuito RLC