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Consider the circuit of Figure 1. The voltage source Vs and resistance Rs comprise a circuit model of a function g...

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Consider the circuit of Figure 1. The voltage source Vs and resistance Rs comprise a circuit model of a function generator.

Find the circuit time constant τ for t≥0. Assuming that the capacitor is initially uncharged, find and accurately sketch vR(t) and vC(t) for t≥0. Calculate vR(t) and vC(t) for t = 0, τ, 2τ, 3τ, 4τ, and 5τ seconds.

Find the 10-90% rise time of vC(t) (this is the time required for vC(t) to transition from 10% (0.5V) to 90% (4.5V) of its final value).

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