notes:elen30009
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notes:elen30009 [2021/05/24 01:47] – created joeleg | notes:elen30009 [2023/05/30 22:32] (current) – external edit 127.0.0.1 | ||
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==== Types of natural response for parallel ==== | ==== Types of natural response for parallel ==== | ||
- | * \(\omega_0^2< | + | |
- | \(s_1\) and \(s_2\) are real and distinct, \(v(t)\) is over-damped (no oscillation). | + | |
- | * \(\omega_0^2=\alpha^2\) | + | |
- | \(s_1\) and \(s_2\) are real and equal, \(v(t)\) is critically damped (verge of oscillation). | + | |
- | * \(\omega_0^2> | + | |
- | \(s_1\) and \(s_2\) are complex, \(v(t)\) is under-damped (voltage oscillates about final value with oscillation frequency \(\omega_d=\sqrt{\omega_0^2-\alpha^2}\)). | + | |
All of the following can be done in terms of current with minimal changes. | All of the following can be done in terms of current with minimal changes. |
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