C1 i(t) w R1 R2 The following system equation is from the circuit shown. (a) What is the characteristic equation? (b) What is the transfer function from current to voltage? R1 V(s) = I(s) · (R₁₁s +1 R2L1s + (3) L₁s + R2

2. For the system in Figure P2, find the value of K to yield a steady-state error of 1 for an input of 10u(t). R(s) K(s +12) (s + 4)(s + 10) C(s) Figure P2

Consider a circuit with a pull-down resistor in parallel to a component. Compare a resistor with higher resistance value to a resistor with lower resistance value in the parallel path. Which resistor value will pull down the potential more, relative to ground, at the high side of the component? They will pull the potential di [ Select] They will pull the potential down equally, because resistors in series have equal voltage across them, regardless of resistance value. The lower-value resistor. There is not enough information to correctly answer this question. The higher-value resistor.

Derive the differential equations for the electrical circuit below. Choose and appropriate set of state space variables, and define the state space equation for the electrical circuit. R1 R2 R3 + Volt)

Please provide neat and clean diagram and correct explanation

Both answers are showing as incorrect and requiring units. What numerical answer with units are they supposed to be?

Preform AC Steady-State analysis for the circuit calculating the time response function for VRC2, the green probe. R1 50 L1 10mH V1 C2 33u VOFF = 0 VAMPL = 15 FREQ = 200 AC = 0 R2 100

Determine the stability of the system of difference equation 2y[n] – 3y[n – 1] + 3y[n – 2]- yln - 3] = [n]. Show in details your derivations and your justification of stability or unstability. Hint: one of the poles of the system is .

3. For the R-C circuit in below figure, composed of standard values: a. Determine the time constant of the circuit when the switch is thrown into position 1. b. Find the mathematical expression for the voltage across the capacitor and the current after the switch is thrown into position 1. c. Determine the voltage Vc and current éc the instant the switch is thrown into position 2, t-1s. d. Determine the mathematical equation for voltage Ve and current zc for the discharge phase. R=4.7KO, C=56µF, E=22V + 'R 29 ve (a)

Write MATLAB code