Determine if following systems are stable, asymptotically stable or unstable using Lyapunov's Method. (1) x₁ = sinx₂, X2 (3) x₁ = sinx₂, X₂ = −X₁ X₂ (2) x₁ = sinx₂, X₂ = -X₁ (4) x₁ = sinx₂, X₂ = -x₁ + x₂
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- Questions 16 to 20 (Write True or False) A16 A larger inductor produces a smaller rate of change of current. A17 KVL states that E IR + E EMF = 0 for any open circuits. A18 For a sine waveform, the value of form factor is 1.414. A19 In a purely inductive circuit, the current lags the voltage by II/4 rads. In an ideal transformer, the rate of change of flux is the same for both primary A20 and secondary.152130 222 Ⓒ520° Fj² 7 Find voltage drop Mutual inductance Majt = + {1.2 V. on 12 resistance Nex (the same for allansivered MEked out c Ammeter Find the impedance theoretically of a wire if it canies the frequency 10 kHz have a voltage is 8v, the current is 2mA, resistance is 11 k2, inductance 26 mH and capacitance 0.2 uf NOTE Write your Answer in the box without the unit. Question Not yet answered Marked out of Z= 3.00 P Flag question restion 6 Write all the steps and experimental setup to measure the numerical aperture of a plastic graded-index opt fiber in your own words? Fyet P Type here to search hp
- Calculate values of asked physical quantities of the circuit in the figure. What is the capacitance of system 23? C23 C₁ = 3.0 F What is the capacitance of system 123? C123 = F C₁ = 2.0 F What is the capacitance of system 45? C45 = F Your last answer was interpreted as follows: 1 Your last answer was interpreted as follows: 1 What is the charge in the capacitor system? C Your last answer was interpreted as follows: 1 What is the total capacitance of the system? F Value 8.8500 x 10 EO Quantity permittivity of free space capacitance capacitance capacitance capacitance capacitance Your last answer was interpreted as follows: 1 capacitance of system 23 capacitance of system 123 capacitance of system 45 Your last answer was interpreted as follows: 1 Do not leave any fields blank. If you don't know the answer, insert 1 for example. Insert the answer with 3 significant digits without rounding the answer. Constant U = 7.0 V Unit E Symbol €0 C₁ = 3.0 F C1 C₂ C3 C4 C5 C23 C₂ = 9.0 F C₂ = 3.0 F…2) a)For the following circuit find the total capacitance and inductance and hence find the total impedance of the circuit. V1 230V/50Hz E R1 350 C1 4700pF HE C2 10nF HH C3 47nF C4 220nF HH L1 72mH L2 32mH All Resistance in OhmsDetermine the current through the 260mH inductor in the circuit shown in the figure and choose the solution from the options given. 0.7, ángulo de -2.9° 0.9, ángulo de -19.8° .52, ángulo de -23.1° 0.338, ángulo de 303⁰ 65 Ω 85mH 150 sin(2π 100t) mn 200 Ω 260mH 28 75 카 120 Ω 50uF
- If an electrical circuit draws 100W + J100VAR from a sinusoidal source, then what would the circuit be? Explain why. a) a pure resistor circuit b) a series or parallel R-L circuit c) a series or parallel R-C circuit d) a series L-C circuitThe picture shows three LC circuits, two of them with capacitors of capacitance C and the three with coils of inductance L, the three circuits are coupled by means of two capacitors Cc capacitors.L inductance coils, the three circuits are coupled by means of two capacitors of capacitance Cc. The currentscirculating through each mesh are those indicated in the figure: I1, I2 and I3. Using Kirchhoff's law for voltagesand taking into account the definition of current I = -dQ/dt, find the system of coupled equations for the systemand then find the angular normal frequencies of the system.Q19. For the series-parallel inductor circuit shown in figure B19, answer the following questions. L2 2mH 4mH L3 L4 SMHS 5mH 3.5mH L6 8mH L7 2mH L3 4.5mH e Figure B19 Determine the inductance, L3 value. ii) If E is the energy stored in inductor for current, Calculate the energy if the current value is increased twice.
- (a) 13. A coil with 60 turns wound over a ferromagnetic core having relative permeability 400 has an inductance of 50 mH. If coil turns are doubled and the core is replaced by a new ferromagnetic core having relative permeability 600, the new inductance would be (a) 0.03 H (b) 0.3 H (c) 3 H altarnator will reverse if (d) 0.15 HFor the circuit in Figure: 1) Set up the equation for the upper supermesh. Response format: Ai1 ± Bi2 ± Ci3 ± Di4 = E 2) Set up the auxiliary equation for the top supermesh. Response format: Ai1 ± Bi2 ± Ci3 ± Di4 = E 3) Set up the equation for the lower supermesh. Response format: Ai1 ± Bi2 ± Ci3 ± Di4 = E 4) Set up the auxiliary equation for the lower supermesh. Response format: Ai1 ± Bi2 ± Ci3 ± Di4 = E 5) What is the value of ix in A?Solve for the equivalent inductance at terminals a-b, if L1 = 39 mH and L2 = 98 mH. (Hint: You may add wires and flip the circuit