A.6.3: Section 6.3 Answers
- Page ID
- 43774
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1. \(I=e^{-15t}\left(2\cos 5\sqrt{15t}-\frac{6}{\sqrt{31}}\sin 5\sqrt{31}t \right)\)
2. \(I = e^{−20t} (2 \cos 40t − 101 \sin 40t)\)
3. \(I=-\frac{200}{3}e^{-10t}\sin 30t\)
4. \(I = −10e^{−30t} (\cos 40t + 18 \sin 40t)\)
5. \(I = −e^{−40t} (2 \cos 30t − 86 \sin 30t)\)
6. \(I_{p}=-\frac{1}{3}(\cos 10t+2\sin 10t)\)
7. \(I_{p}=\frac{20}{37}(\cos 25t-6\sin 25t)\)
8. \(I_{p} = \frac{3}{13} (8 \cos 50t − \sin 50t)\)
9. \(I_{p} = \frac{20}{123} (17 \sin 100t − 11 \cos 100t)\)
10. \(I_{p} = − \frac{45}{52} (\cos 30t + 8 \sin 30t)\)
12. \(\omega _{0}=1/\sqrt{LC}\quad \text{maximum amplitude }=\sqrt{U^{2}+V^{2}}/R\)