6.01 Lecture Notes - Lecture 24: Current Source, Hubert Curien, Oni

• School: MIT
• Department: Electrical Engineering and Computer Science
• Course: 6.01

Document Summary

Vc ib ia n2 we have a simple circuit with two resistors in parallel. Even though there are a lot of wires be- ing connected together, there are really only two nodes: places where multiple components are connected. Let"s write down the equations governing this system. First, applying kcl to n1, ia + ib ic = 0 . Now, setting v2 to ground, and describing the individual components, we have: v2 = 0 v2 v1 = ia ra v2 v1 = ib rb v1 v2 = vc. We can simplify this last set of constraints to. Vc = ib rb so ia = ib = . Plugging these into the kcl equation, we get: ia + ib ic = 0. What we can see from this is that two resistances, ra and rb, wired up in parallel, act like a single resistor with resistance. This is another common pattern for both analysis and design.