In the circuit shown in Figure P5.31: V51=12 V V52=12 V R51=50 Ω R52=50 Ω

# Solution for Circuit Analysis Problemu000Au000AStep 1:u000ALetu0027s analyze the circuit under DC steadyu002Dstate

In the circuit shown in Figure P5.31: V51=12 V ...

In the circuit shown in Figure P5.31: $$ \begin{array}{ll} V_{51}=12 \mathrm{~V} & V_{52}=12 \mathrm{~V} \\ R_{51}=50 \Omega & R_{52}=50 \Omega \\ R_1=2.2 \mathrm{k} \Omega & R_2=600 \Omega \\ L=7.8 \mathrm{mH} & C=68 \mu \mathrm{~F} \end{array} $$ Assume that DC steady-state conditions exist at $t<0$. Determine the voltage across the capacitor and the current through the inductor as $t$ approaches infinity. Remember to specify the polarity of the voltage and the direction of the current that you assume for your solution.

In the circuit shown in Figure P5.31:

$$
\begin{array}{ll}
V_{51}=12 \mathrm{~V} & V_{52}=12 \mathrm{~V} \\
R_{51}=50 \Omega & R_{52}=50 \Omega \\
R_1=2.2 \mathrm{k} \Omega & R_2=600 \Omega \\
L=7.8 \mathrm{mH} & C=68 \mu \mathrm{~F}
\end{array}
$$

Assume that DC steady-state conditions exist at $t<0$. Determine the voltage across the capacitor and the current through the inductor as $t$ approaches infinity. Remember to specify the polarity of the voltage and the direction of the current that you assume for your solution.

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