1) An element has a transfer function of : 2 () 15? s What is the critical frequency? My answer: (0.2rad/s) 2) A bode plot shows a flat gain of 40dB up until ?c = 3rad/s and then decrease by -40db/decade. What is the transfer function for this? 100 My answer: 2 () 1? 0.33s 3) We have a negative-feedback system with a phase shift of +180° and a gain of 10dB at 1rad/s and a phase shift of +160° and a gain of 0dB at 0.2rad/s. Determine if system is stable. Explain your answer. My answer: I think it will be unstable since at +180° phase shift the gain is above 0dB (I am not completely sure about this and where the +160° come into play) I have never seen an example of a negative-feedback system with +180° phase shift 4) Is the system in Q3 stable if the overall phase shift is +130° with a gain of 0dB? Explain your answer. My answer: I think it will be stable since it is less than +180°, but I am not 100% sure about positive angles. ? 4t 5) What is the laplace transformation to time domain for: 50e 50 My answer: () s4? 50 6) Find the inv Laplace for: 2 () 15? s ? t My answer: 5 2te dv v 7) A charged capacitor responds as :? = 0 dt RC Capacitor has an initial charge of 10v. If R=5k and C=0.22uF give voltage solution in time AND freq domain ? t 10 My answer: v = v(t) = ? 3 1.1?10 () s? 909.1 10e8) What is the laplace transform for a voltage derivative dv/dt if the initial voltage is 25V My answer: sV? 25 ? 9) What is the laplace transform for the integral v(t) : ? vt() dt ? V My answer: 2 s 10 10) What is the inv laplace transform for: s1()?5s ? t ?? ?? 5 My answer: 10 1? e ?? 11) Determine the transfer function of a RC high pass filter: s My answer: 1 ?? s? ?? RC ?? 12) What is the laplace transform for a step function with 0V at t<0;>
Already registered? Login
Not Account? Sign up
Enter your email address to reset your password
Back to Login? Click here