4. Given the following circuit, solve for V₁. Must use Mesh Analysis.

Solve for the current through R1 using Thevenin’s theorem. Show step-by-step solution in solving the Vth, Rth and current I1.  Draw also the corresponding Thevenin’s circuit diagrams for Vth, Rth and thevenin’s equivalent circuit.

Consider the circuit diagram below. Solve for the power dissipated in each of resistors R4 and R5. You can use either node or mesh analysis (your choice). You can use Matlab to solve the system of equations that you generate, but you are not required to. If you do, be sure to include the commands you used in Matlab as part of your analysis. You can use CircuitJS to verify your result, but you are not required to. [Туре C] R1 1 kN ww R2 1 kN E, 10 V R3 10 kN ww b a R4 1 kN R5 1 kN 50 mA 100 mA d.

We wish to find v(1) for 1>0 in the RLC circuit shown below where the elements are in series. a. Derive the governing equation for the voltage v using KCL at the top node using the following definitions: a = w = == You should obtain (see attached for a similar 2RC derivation from the book) d²v 1 dv + dt2 RC dt LC This will get you a governing equation in the same form as that derived for the case we did in class where the R, L, and C were in series. e. Plot v(t) until the transient dies out. Circuit v = 0 b. What is the particular solution in this case, i.e., what is the value of v after a very long time after the voltage and current have reached steady state? of c. If R=15.8 Q2, is the system underdamped, critically damped, or overdamped? What is the equation that describes v(t)? resistances or d. Determine the final equation for v using the initial conditions v(0)=5V and i(0)=0. (Hint: use KCL and i(0)=0 to find at t=0). dt and 1H sources LC (a) d²v dt2 1 mF dv + 2α t dt V ELE +w/v =…