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Stuff to know for the final

Stuff to know for the final - For the final You will be...

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For the final: You will be permitted 4 pages (single sided, or 2 pages double) of cheatsheet. Know everything from the previous two lists 1) Be able to solve a black box ala lab 4. 2) Know the formal definition of the Laplace transform 3) Be able to apply Laplace to: a. Exponentials b. Sinusoids c. Decaying sinusoids d. Steps e. Impulses f. Ramps 4) Be able to apply Laplace to: 5) Know the definition of the impulse function 6) Be able to use partial fractions to solve for driven responses and initial conditions. 7) Be able to convert from “s” domain to “j ω ” domain 8) Be able to use Laplace-domain impedances to find the transfer function of a circuit 9) Be able to incorporate initial conditions into the Laplace-domain description of a circuit 10) Be able to recognize the poles+zeros of a transfer function 11) Be able to plot poles+zeros on the complex s-plane 12) Know how pole locations change as damping changes for 2 nd -order systems *and be able to sketch this) 13) Be able to relate pole locations to the form of the time response of a circuit 14) Be able to relate zero locations to size of the different parts of the time response of a circuit 15) Be able to describe complex inputs as a sum of time-delayed simpler functions 16) Be able to use (14) to solve for responses of a circuit in the Laplace domain. 17) Be able to find the impulse response of a circuit. 18) Be able to apply the convolution integral to find the response of a circuit based on its impulse response and input. 19) Be able to analyze op-amp circuits (which have capacitors or inductors in them) in the Laplace domain. 20) Be able to find the transfer function of R-L-C-opamp circuits. 21) Be able to design an equalizer circuit to cancel unwanted poles (or zeros). 22) Know and be able to apply the dominant-pole model to non-ideal op-amps (that is, modeling the gain of an op-amp as finite with a real pole) 23) Know what the following filters do:
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