1 1 vote The following series $\text{RLC}$ circuit with zero initial conditions is excited by a unit impulse function $\delta(t)$. For $t>0$, the voltage across the resistor is $\frac{1}{\sqrt{3}}\left(e^{-\frac{\sqrt{3}}{2} t}-e^{-\frac{1}{2} t}\right)$ $e^{-\frac{1}{2} t}\left[\cos \left(\frac{\sqrt{3}\; t}{2}\right)-\frac{1}{\sqrt{3}} \sin \left(\frac{\sqrt{3}\; t}{2}\right)\right]$ $\frac{2}{\sqrt{3}} e^{-\frac{1}{2} t} \sin \left(\frac{\sqrt{3}\; t}{2}\right)$ $\frac{2}{\sqrt{3}} e^{-\frac{1}{2} t} \cos \left(\frac{\sqrt{3} \;t}{2}\right)$ Circuit Analysis gate2008-ec rlc-circuits circuit-analysis impulse-response + – admin 424 views answer comment Share Follow Add Sync Questions Print 0 reply Please log in or register to add a comment.