Calculation of Transient:Resistor Capacitance Inductance Circuit-DC power.

Keyword

Transient,Resistor Capacitance Inductance,Circuit,DC power,Resistance,Voltage,Time.

Reference

[1]:阿部節次:『実用電子公式集』,啓学出版,pp.64,1972.
[2]:内田知二・岡本久信:『MKS電気工学公式集』,オーム社,pp.81,1955

Remarks




・LaTeX: \begin{cases} & R^{2}-\frac{4L}{C}> 0\; , i\left ( A \right )=\frac{2E}{\sqrt{R^{2}-\frac{4L}{c}}}e^{-\alpha t}\textup{sinh}\beta t\\ & R^{2}-\frac{4L}{C}= 0\; , i\left ( A \right )=\alpha ^{2}CEte^{-\alpha t}\\ & R^{2}-\frac{4L}{C}< 0\; , i\left ( A \right )= \frac{2E}{\sqrt{\frac{4L}{c}-R^{2}}}e^{-\alpha t}\textup{sin}\beta{}' t \end{cases}
・LaTeX: \begin{cases} & R^{2}-\frac{4L}{C}> 0\; , q\left ( C \right )=CE\left \{ 1-e^{-\alpha t}\left ( \cosh\beta t+\frac{\alpha }{\beta }\sinh\beta t \right ) \right \}\\ & R^{2}-\frac{4L}{C}= 0\; , q\left ( C \right )=CE\left \{ 1-e^{-\alpha t}-\alpha te^{-\alpha t}\right\}\\ & R^{2}-\frac{4L}{C}< 0\; , q\left ( C \right )= CE\left \{ 1-e^{-\alpha t}\left ( \cos\beta{}' t+\frac{\alpha }{\beta{}' }\sin\beta{}' t \right ) \right \}\\ \end{cases}
・LaTeX: \alpha =\frac{R}{L}\; ,\beta =\sqrt{\left ( \frac{R}{2L} \right )^{2}-\frac{1}{LC}}\; ,\beta{}' =\sqrt{\left \frac{1}{LC}-( \frac{R}{2L} \right )^{2}}
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History

・2010/03/08:Upload.