(3) In the following LTIODEs, find all values of B (if any) than produce a stable homogeneous solution with settling time less than 4 seconds: T (t) + 8x (t) + Bä(t) +96x(t) +80x(t) = 0
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- Select all correct statement(s):1, The equivalent resistance for resistors in parallel is the harmonic mean of all resistors;2, The equivalent capacitance for capacitors in series is the sum of all capacitors;3, The equivalent inductance for inductors in series is the sum of all resistors.32None of them is correct1The transient response of a second order system is given by the following equation, for 5% criterion the settling time is * e 4t C(t) = 1- sin on V1-74 + 6 %3D 1-72 O 1.25 sec 0.25 sec 4 sec 0.75 secSuppose R = 230 N and C = 120_µF in a (charging) RC-series circuit with a 11_V power source. What is the maximum charge on the capacitor? After 2 time constants, the capacitor will reach what percent of its maximum charge? %3D 8. max charge A. 0.002256 C D. 0.002283_C В. 0.001623 C Е. 0.001678_C С. 0.0008826 C F. 0.00132 C |--/ 9. percent 90.99 % 86.47 % 138.7 % D. 92.44 % 52.58 % 152 % А. В. Е. С. F. |--/
- 5. Suppose the following circuit is left open for a long time. 5000 22 24 V (a) What is the facial curren What is the carte II What is the ches What is the not the pos 80mF when we close thei 90s after we close the switch? dissipe the resistor 90s arter ene capacitor ons after we close the suit Close the switchi difference across the spacitor 008 after we close the switch across the resisto we close the swit 12 the potential (g) What is the energy stored in the capacitor 90s after we close the switch? (h) What is the energy dissipated by the resistor during the first 90s since the switch is closed?The figure below shows a simple RC circuit with a 3.30-μF capacitor, a 4.40-M resistor, a 9.00-V emf, and a switch. What are the following exactly 9.00 s after the switch is closed? (a) the charge on the capacitor 13.7204 UC (b) the current in the resistor 0.0110522 x Your response is off by a multiple of ten. HA (c) the rate at which the capacitor is storing energy μW (d) the rate at which the battery is delivering energy μWeeeeee t=0 Y. Co) = 15V Ye C4) 0,25MF R In the above circuit, thie switch closes at t= 0. The capacitor is charged to voltage ISV initially. Find the capacitor for the following cases: Ca) R= 8.5k (6) R= 4k () R= 1k * plot the waveforms for each Cuse www
- Please help me answer this. Show complete solutionFor the system shown, find K and a to yield a settling time of 0.12 second and a 20% overshoot. R(s) + E(s) K C(s) S(s + a)Find the charge q(t) on the capacitor and the current i(t) in the given LRC-series circuit. L = 1 h, R = 100 N, C = 0.0004 f, E(t) = 30 V, q(0) = 0 C, i(0) = 4 A %3D %3D %3D 3 50t -50t te 3 q(t) %3D 250 55 250 3-50t 22 -50t i(t) = 220te 501 %3D Find the maximum charge on the capacitor. (Round your answer to four decimal places.) 0.0402 Need Help? Read It Talk to a Tutor
- Calculate the Voltage across the capacitor at time constant 3+ for the following RC Circuit. Assume switch is closed and capacitor is in a charge state. LE t=0 10 V Vc(t) = Vo(1-e-t/t) oto R1 1kQ C1 1uFQuestions 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.Find the charge q(t) on the capacitor and the current i(t) in the given LRC-series circuit. 1 L = = h, R = 10 N, C = ₁ f, E(t) = 300 V, q(0) = 0 C, i(0) = 0 A 60 q(t) i(t) 5 e¯¤sin(6t) — ½-½e¯6t A Need Help? cos (6t) + 1/3 5 Find the maximum charge on the capacitor. (Round your answer to three decimal places.) с Read It X Talk to a Tutor