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- For Routh Stability Criterion, Answer the following questions: 1. If the sign of the coefficient above the zero is the same as that below it? I. There is a pair of imaginary roots II. There is one sign change. III. There are roots of equal magnitude lying radially opposite in the S-Plane. IV. There is a root or roots that are imaginary or that have positive real parts. 2. If the sign of the coefficient above the zero is opposite of that below it? I. There is a pair of imaginary roots. II. There is one sign change. III. There is one sign change. IV. There is a root or roots that are imaginary or that have positive real parts.For a negatively damped system, poles are positive on s-plane. Select one: True FalseI need help on this asap:1. Is the system ?a) Not unstableb) Not asymptotically stablec) Unstabled) Asymptotically stable2. For the dynamic system defined, choose the rank of the controllability matrix from the list given below:a) 2b) 4c) 3d) 0e) None of the above 3. For the dynamic system, choose the rank of the observability matrix from the list given below:a) 3b) 2c) 0d) 4e) None of the above
- Derive the full solution to the driven LRC circuit shown below using complex exponentials. Start withKirchhoff’s rule for the loop and assume a complex V (t) = V0eiωt (where by convention V0 is real) andassume that I(t) = I0eiωt where I0 is a general complex number (which can be written quite generallyas I0 = |I0|e−iδ), and where one gets physical answers at the end by taking the real part of thecomplex answers. Find an algebraic complex expression that expresses the sum of the voltages. Solve this expression directly using algebra, no pictures of “phasors” really required. Factor out the solution to obtain|I0|, δ, Z (the complex impedance), and the voltages across each element as a function of time.Linear Algebra: kindly answer in Proper way step by step: Please solve it on emergency basis, less than ONe hour please: Mention name "Shahzad Ali" "F2019266015" on the top of the every page: Circuit is inside the image: Analyze the circuit given below to find the unknown currents i1,i2,i3,i4,i5and i6 by developing a system of linear equations. Then apply Gauss-Jordan elimination method to solve the developed system.What is a vector network analyser and how can it be used to find S parameters? So confused