(Solved): The given circuit is connected to a series RL circuit at terminals (a,b). Let R=0.8;L=10mH : 1. ...

The given circuit is connected to a series RL circuit at terminals $$(a,b)$$. Let $$R=0.8?;L=10mH$$ : 1. Find the Thevenin Equivalent at $$(a,b)$$. A. Find $$v_{th}$$ : a. Use Nodal Analysis. b. Use $$KCL$$ and $$KVL$$ relations. c. Use Mesh Analysis Ans. $$v_{th}=\frac{0.4}{3}{v}_S$$ B. Find $$R_{th}$$ : a. Use the short circuit method. b. Use the external source method. Ans. $$R_{th}=9.2?$$ 2. Draw the equivalent circuit and find the Transfer Function $$G(p)=\frac{v_L(t)}{v_S(t)}$$ where $$v_L(t)$$ is the voltage across the inductor. 3. Find $$v_L(t)$$ when $$v_s(t)=3\cos (1000t+0.45)?4\sin (2000t?0.67)(V)$$