The circuit shown below contains a time-varying source and has the following parameters fort > 0: vs(t) = 5 – 14e-9t V,

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The Circuit Shown Below Contains A Time Varying Source And Has The Following Parameters Fort 0 Vs T 5 14e 9t V 1 (69.08 KiB) Viewed 20 times

The circuit shown below contains a time-varying source and has the following parameters fort > 0: vs(t) = 5 – 14e-9t V, R=412, C=0.8 F. The initial voltage v across the capacitor att = 0 is unknown, but it has an observed value of 4 V att = 0.5 s. Show that fort > 0, the indicated voltage v has a response given by v(t) = Kje-lit + K2e-12t + K3 V, for some constants K1, K2, K3, 11, and 12, where li < 12. Hence, determine the value of the constant K1 (in V) in the response. t=0 R ſusce ) 0 =1 х - 1.12 Correct Answer: - 1.1757