The switch in Figure \(\mathrm{P} 7-43\) has been open for a long time and is closed at \(t=0\). The circuit parameters are \(L=\) \(1.25 \mathrm{H}, C=0.05 \mu \mathrm{F}, R_{1}=33 \mathrm{k} \Omega, R_{2}=33 \mathrm{k} \Omega\), and \(V_{\mathrm{A}}=20 \mathrm{~V}\).
(a) Find \(v_{\mathrm{C}}(t)\) and \(i_{\mathrm{L}}(t)\) for \(t \geq 0\).
(b) Is the circuit overdamped, critically damped, or underdamped?

(c) Use Multisim to validate your results. In Grapher View plot \(v_{\mathrm{C}}(t)\) using the left axis and \(i_{\mathrm{L}}(t)\) on the right axis.

Transcribed Image Text:

VA +1 R w t=0 o R iL(1) L C + vc(1)