(Solved): 2. Suppose we have a simple RC circuit as shown below. Using Laplace methods: a. Find vout(t) ...

2. Suppose we have a simple RC circuit as shown below. Using Laplace methods: a. Find $v_{\text{out }}(t)$ for $v_g(t)=10\mathrm{V}\cos (2?(1\mathrm{MHz})t)u(t)$. b. From your result for (a), what is the AC steady state output. Express your answer in the form $D\cos (2?(1MHz)t+?)$ with $?$ in degrees. c. From your answer in (a), approximately how long does it take for the circuit to settle to an AC steady-state condition. $R=50?C=3.2nF$