(a) Consider the circuit in Figure 1.1 and assume vi(t) is the input voltage existing as t> 0-. Show that the output vol

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A Consider The Circuit In Figure 1 1 And Assume Vi T Is The Input Voltage Existing As T 0 Show That The Output Vol 1 (65.74 KiB) Viewed 46 times

(a) Consider the circuit in Figure 1.1 and assume vi(t) is the input voltage existing as t> 0-. Show that the output voltage, vo(t), across the parallel R and C circuit obeys the following differential equation: 2v.(t) +RCv.(t)= v;(t) dt V t>O d Note: The relationships between voltage and current in L and C are vl(t)=Lil(t) and dt ic(t)= vc(t) respectively. dt R vi(t) vo(t) 12 11 SW R C 1 VT Figure 1.1 1