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Massachusetts Institute of Technology Department of Aeronautics and Astronautics 16.682 – Special Subjects in Aeronautics and Astronautics “Prototyping Avionics” Homework #1 Out: Mon Feb 13, 2006 Due: Wed Feb 22, 2006 Topics: Basic laws Discrete Components Operational Amplifiers (Op-Amps) Problem 1 – Basic Laws In class we reviewed four basic laws for circuits. These laws results in the four most important equations you will use when working with both analog and even digital circuits, therefore it is important that you have good intuition on what they mean. 1) State the four component laws (tip: they relate current, voltage, resistance, power, capacitance, and inductance). 2) For each of the four laws, provide an explanation of how you would explain these laws to make them intuitive (please use your own analogies if you have any different from the ones we used in class): a) How would you interpret resistor networks intuitively? b) How do capacitors behave under constant voltage and during transitions? c) How do inductors behave under constant current and during transitions? 3) During lecture it was stated multiple times that these laws are for “ideal” components. Describe using words and/or diagrams what are the non-ideal features of a real resistor, capacitor, and inductor. 4) These four laws require that you know two other laws to determine how a circuit behaves: Kirchoff’s current (KCL) and voltage (KVL) laws. State these two laws and explain them using both words and diagrams.
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Problem 2 – Discrete Components 1) Resistor Networks – The following resistor networks check your understanding of KCL and KVL.
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