Problem 1: Given the following system: a) Sketch the root locus b) Compute the asymptote beljakot ad lugmo) ( c) Compute the real-axis break-away/break-in point. Indicate clearly it is real-axis break-in or break-away point. 3) K (s+1)(s+3)(s+4)

1. Graph the following complex numbers and convert in the specified form a. 5-j7 to exponential form b. 5 cjs (-45°) to rectangular form C. -2-j3 to polar form d. 32-45° to exponential form of complex numbers, (10pts each)

V, = @sin(@t) + 2@ cos(@t). For this 6. A LRC circuit below is used to modify an input voltage applicatio, = 2 ydurāifidrentidi equation gnlist be in terms of %3D charge 9 notes to generate the general solution. No other method will be accepted. Use two decimal point accuracy. You . You must use the complimentary and particular solution method as shown in your are given that -2N@² + 20N = 2@ and -2M@² +20M = 2@¸ which you must use to simplify your particular solution when you equate coefficients. L HH Va VL Vc keo = Im sin(ot) Vs

A resistor R1, an uncharged capacitor C1, and an emf source are connected in series. Using the Kirchhoff’s loop rule, white the expression for this R-C circuit.

Solve the following circuit by determining the missing quanitites by using Kirchhoffs rules. Show caluclations. Thanks!! I also included a more calarified example by my teacher since some students were getting confused by the "R"

Find poles and zeros then draw the corresponding pole-zero diagram.

The characteristic equation of sixth order system is as below find the stability of system. + 2s° + 8s4 + 12s + 20s? + 16s + 16 = 0

please show step by step

1) For the circuit in Figure, what is the value of S1 and S2? Response format: a complex number in rectangular format. 2)For the circuit in Figure, what is the value of S3 and S4? Response format: a complex number in rectangular format.

Considering a series RC circuit, determine the following: a. Voltage equation b. Current equation at any time t c. K d. Current equation at t=0