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In the circuit given switch is changed from position (1) to position (2) at time $t=0$ find $i ; d i / d t$ and $d^2 i / d t^2$ at time $t=0^{+}$

In the circuit given:

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Solution:

$ \text { Draw ckt for } t\lt0 \quad[t=\overline{0}] \\ $

enter image description here

from fig.

$ \begin{aligned} \\ I_0 &=I(\overline{0})=2 \text { Amp } \quad \because I_0=\frac{20}{10} \\\\ \&_0 &=V_c(\overline{0})=0 \text { Volts } \\ \end{aligned} \\ $

Draw ckt. at

$t=0^{+}$

enter image description here

$ \text { Draw ckt for } t\gt0 \\ …

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