There is no energy stored in the circuit shown below at the time the switch is opened. Show that: a) Vo(s) = frac{I_{dc}/C}{s^2 + (1/RC)s + (1/LC)} . b) Io(s) = frac{sI_{dc}}{s^2 + (1/RC)s + (1/LC)} . solve in S domain then convert it (do not sove in time domain)
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- Inductor \( L \) has an impedance of \( sL \). - Resistor \( R \) has an impedance of \( R \). - Capacitor \( C \) has an impedance of \( \frac{1}{sC} \). Show more…
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Breanna O.
In Fig. $30.11,$ suppose that $\mathcal{E}=60.0 \mathrm{~V}, R=240 \Omega,$ and $L=0.160 \mathrm{H}$. Initially there is no current in the circuit. Switch $S_{2}$ is left open, and switch $S_{1}$ is closed. (a) Just after $S_{1}$ is closed, what are the potential differences $v_{a b}$ and $v_{b c} ?$ (b) A long time (many time constants) after $S_{1}$ is closed, what are $v_{a b}$ and $v_{\mathrm{br}} ?$ (c) What are $v_{a b}$ and $v_{b c}$ at an intermediate time when $i=0.150 \mathrm{~A} ?$
In Fig. $30.11,$ suppose that $\mathcal{E}=60.0 \mathrm{V}, R=240 \Omega,$ and $L=0.160 \mathrm{H} .$ Initially there is no current in the circuit. Switch $\mathrm{S}_{2}$ is left open, and switch $\mathrm{S}_{1}$ is closed. (a) Just after $\mathrm{S}_{1}$ is closed, what are the potential differences $v_{a b}$ and $v_{b c} ?$ (b) A long time (many time constants) after $S_{1}$ is closed, what are $v_{a b}$ and $v_{b c} ?(\mathrm{c})$ What are $v_{a b}$ and $v_{b c}$ at an intermediate time when $i=0.150 \mathrm{A}$ ?
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