1) For the following characteristic equations, determine if the system is stable. a) s3 + 11s² +43s + 65 = 0 b) s4 +5³ +25² +11s +9=0

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Tutorial exercise Jimmy the Circuit Builder is at it again and this time he is using AC. He has all of the linear components in pairs: two AC voltage sources, two AC current sources, two resistors, two capacitors and two inductors. He is trying to build circuits to create certain voltages and currents. All of the sources operate at w=500 rad/s. 940° V 2 <90° A - 12<60° V 1-30° A (c) V=6490° V (d) I=64150° A (e) I = 0.6 +j1.04 (f) V=18.25434.7° V + (a) Draw the circuit. (b) Calculate the voltage across each component. 100μF TE 1mF 46 392 -M 1mH hint: try combining the two sources 10mH Jimmy first builds one circuit to check his understanding of AC voltage, current and power. The circuit is a series connection of the 12 <60° V voltage source, the 3 resistor, the 10 mH inductor, and the 1mF capacitor. 1092 M Using only two elements, connect the pair of elements to create the following AC voltage and currents: Using exactly three elements, draw circuits to create the following AC voltage…

Continuing from the previous question, we keep the current source I, and make the voltage source V, zero. In this case, what is the voltage on the capacitor (we can denote it as vo-2)? (represent the result in the rectangular form) 192 ΤΩ ww ww R₁₁ R₂ L 000 5j 0 C -5jN O2.71+9.091 O 3.94+12.32j O 2.71-9.09j 3.94+12.32j +21 Is Vo-2 590°