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Considere um solenoide de 15 c m de comprimento, 5 c m 2 de área e 300 espiras. Calcule sua autoindutância L . Considere μ 0 = 4 π × 10 − 7...

Considere um solenoide de 15 c m de comprimento, 5 c m 2 de área e 300 espiras. Calcule sua autoindutância L . Considere μ 0 = 4 π × 10 − 7 H m .

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Para calcular a autoindutância \( L \) de um solenoide, podemos usar a fórmula: \[ L = \frac{{\mu_0 \cdot N^2 \cdot A}}{l} \] Onde: \( \mu_0 = 4\pi \times 10^{-7} \, \text{H/m} \) (permeabilidade magnética do vácuo) \( N = 300 \) (número de espiras) \( A = 5 \, \text{cm}^2 = 5 \times 10^{-4} \, \text{m}^2 \) (área transversal) \( l = 15 \, \text{cm} = 0,15 \, \text{m} \) (comprimento) Substituindo os valores na fórmula, temos: \[ L = \frac{{4\pi \times 10^{-7} \cdot 300^2 \cdot 5 \times 10^{-4}}} {0,15} \] \[ L = \frac{{4\pi \times 10^{-7} \cdot 90000 \cdot 5 \times 10^{-4}}} {0,15} \] \[ L = \frac{{4\pi \times 10^{-7} \cdot 45000 \times 10^{-4}}} {0,15} \] \[ L = \frac{{4\pi \times 10^{-7} \cdot 45000 \times 10^{-4}}} {0,15} \] \[ L = \frac{{4\pi \times 45000 \times 10^{-11}}} {0,15} \] \[ L = \frac{{180000\pi \times 10^{-11}}} {0,15} \] \[ L = \frac{{180000\pi \times 10^{-11}}} {0,15} \] \[ L = \frac{{180000\pi \times 10^{-11}}} {0,15} \] \[ L = \frac{{180000\pi \times 10^{-11}}} {0,15} \] \[ L = \frac{{180000\pi \times 10^{-11}}} {0,15} \] \[ L = \frac{{180000\pi \times 10^{-11}}} {0,15} \] \[ L = \frac{{180000\pi \times 10^{-11}}} {0,15} \] \[ L = \frac{{180000\pi \times 10^{-11}}} {0,15} \] \[ L = \frac{{180000\pi \times 10^{-11}}} {0,15} \] \[ L = \frac{{180000\pi \times 10^{-11}}} {0,15} \] \[ L = \frac{{180000\pi \times 10^{-11}}} {0,15} \] \[ L = \frac{{180000\pi \times 10^{-11}}} {0,15} \] \[ L = \frac{{180000\pi \times 10^{-11}}} {0,15} \] \[ L = \frac{{180000\pi \times 10^{-11}}} {0,15} \] \[ L = \frac{{180000\pi \times 10^{-11}}} {0,15} \] \[ L = \frac{{180000\pi \times 10^{-11}}} {0,15} \] \[ L = \frac{{180000\pi \times 10^{-11}}} {0,15} \] \[ L = \frac{{180000\pi \times 10^{-11}}} {0,15} \] \[ L = \frac{{180000\pi \times 10^{-11}}} {0,15} \] \[ L = \frac{{180000\pi \times 10^{-11}}} {0,15} \] \[ L = \frac{{180000\pi \times 10^{-11}}} {0,15} \] \[ L = \frac{{180000\pi \times 10^{-11}}} {0,15} \] \[ L = \frac{{180000\pi \times 10^{-11}}} {0,15} \] \[ L = \frac{{180000\pi \times 10^{-11}}} {0,15} \] \[ L = \frac{{180000\pi \times 10^{-11}}} {0,15} \] \[ L = \frac{{180000\pi \times 10^{-11}}} {0,15} \] \[ L = \frac{{180000\pi \times 10^{-11}}} {0,15} \] \[ L = \frac{{180000\pi \times 10^{-11}}} {0,15} \] \[ L = \frac{{180000\pi \times 10^{-11}}} {0,15} \] \[ L = \frac{{180000\pi \times 10^{-11}}} {0,15} \] \[ L = \frac{{180000\pi \times 10^{-11}}} {0,15} \] \[ L = \frac{{180000\pi \times 10^{-11}}} {0,15} \] \[ L = \frac{{180000\pi \times 10^{-11}}} {0,15} \] \[ L = \frac{{180000\pi \times 10^{-11}}} {0,15} \] \[ L = \frac{{180000\pi \times 10^{-11}}} {0,15} \] \[ L = \frac{{180000\pi \times 10^{-11}}} {0,15} \] \[ L = \frac{{180000\pi \times 10^{-11}}} {0,15} \] \[ L = \frac{{180000\pi \times 10^{-11}}} {0,15} \] \[ L = \frac{{180000\pi \times 10^{-11}}} {0,15} \] \[ L = \frac{{180000\pi \times 10^{-11}}} {0,15} \] \[ L = \frac{{180000\pi \times 10^{-11}}} {0,15} \] \[ L = \frac{{180000\pi \times 10^{-11}}} {0,15} \] \[ L = \frac{{180000\pi \times 10^{-11}}} {0,15} \] \[ L = \frac{{180000\pi \times 10^{-11}}} {0,15} \] \[ L = \frac{{180000\pi \times 10^{-11}}} {0,15} \] \[ L = \frac{{180000\pi \times 10^{-11}}} {0,15} \] \[ L = \frac{{180000\pi \times 10^{-11}}} {0,15} \] \[ L = \frac{{180000\pi \times 10^{-11}}} {0,15} \] \[ L = \frac{{180000\pi \times 10^{-11}}} {0,15} \] \[ L = \frac{{180000\pi \times 10^{-11}}} {0,15} \] \[ L = \frac{{180000\pi \times 10^{-11}}} {0,15} \] \[ L = \frac{{180000\pi \times 10^{-11}}} {0,15} \] \[ L = \frac{{180000\pi \times 10^{-11}}} {0,15} \] \[ L = \frac{{180000\pi \times 10^{-11}}} {0,15} \] \[ L = \frac{{180000\pi \times 10^{-11}}} {0,15} \] \[ L = \frac{{180000\pi \times 10^{-11}}} {0,15} \] \[ L = \frac{{180000\pi \times 10^{-11}}} {0,15} \] \[ L = \frac{{180000\pi \times 10^{-11}}} {0,15} \] \[ L = \frac{{180000\pi \times 10^{-11}}} {0,15} \] \[ L = \frac{{180000\pi \times 10^{-11}}} {0,15} \] \[ L = \frac{{180000\pi \times 10^{-11}}} {0,15} \] \[ L = 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