Chapter 6, Problem 6.14P

Question 2 (20 points) a) In terms of n and p, how many state variables and how many inputs can you see in the system below? dx1 dt =x1- 2x2 dx2 = 3x1 - 4x2 dt b) Derive the state space representation for the above system c) Determine whether the system is stable or not.

Stuck on the question. Please do not use AI, it will get the answer wrong.

Q2: Using D flip-flops, design a synchronous counter. The counter counts in the sequence 1,3,5,7, 1,7,5,3,1,3,5,7,.... when its enable input x is equal to 1; otherwise, the counter count 0.

8.19 In the circuit shown in Fig. P8.19, u(t) = 40cos(105t) V,R1 = 100 W, R2 = 500 W, C = 0.1 μF, and L = 0.5 mH.Determine the complex power for each passive element, and verifythat conservation of energy is satisfied.

In the circuit shown, let R₁=7, R₂=12, R3=24, R4-2, V₁ =26, V2=104, and V3-78, to calculate the power delivered (or absorbed) by the circuit inside the box, as follows: {NOTE: On Multiple Choice Questions, like this problem, you have only one attempt } 1. The current I is equal to (choose the closed values in amperes) O 1.156 -1.156 -1.209 -4.622 1.209 0 (A) 4.622 2. The power delivered (or absorbed) (choose the closest value in watts) (W) -873.292 152.225 O 873.292 -122.181 -58.086 0 O 122.181 R₁ ww V₂ R₂ R3 V1 ww R4 √3

For the circuit shown, find the currents 11, 12, 16 and 17, given 13 =1 A, 14-19 A, 15 =-10 A, and Ig =5 A. = (A) 12 = (A) 16 = (A) 175 (A) (Based on Alexander Textbook, Chapter2) I5 12 14 18 13 16 • Round your values to 3-significant digits.

In the circuit shown, let R₁=62, R2=39, R3=16, R4-7 and V5-194, to calculate Vo and lo, as follows: V₁ R1 R3 Find the overall current i delivered by the voltage source Vs: • Find the voltage Vo: • Find the current l₁ : The relative tolerance for this problem is 7 %. (V) (A) www. R₂ + RA (A)

For the circuit shown, let V₁ =35 V, V₂-7 V, and R=45 $2, ⚫ The current I = • The power absorbed by the resistor R; PR (A) find: • The power delivered/absorbed by the voltage source V₁; Pv₁= ⚫ The power delivered/absorbed by the voltage source V2; Pv2= ⚫ The power delivered/absorbed by the voltage source (-8V); P-8 = V₁ (1+ √2 + (+ −8 V (W) (W) (W) (W) R