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The magic that creates precise circuits out of horribly imprecise components is known as feedback. Let’s look at an example to see how it works. Consider the circuit shown below. For an ideal op amp, no current flows into the + V+ Vout = A (V+ - V-) A VVin and - input terminals. So we can redraw this circuit using the symbology of dependent sources leaving these connections open. The op amp is a voltage controlled Vout V1 Vin AV1 voltage source. Implicitly, the output is referenced to ground. A Pragmatic Introduction to the Art of Electrical Engineering 41 Guess the Number The next step is to find the output voltage, Vout, as a function of the input voltage, Vin.

The ß of a transistor, which is basically its current gain, can vary wildly from transistor to transistor. This is even true for supposedly identical transistors. ) Circuits built from these devices can be similarly imprecise. So when we say that an op amp has a gain of about 106, it might be anywhere from 5x105 to 107, or some similarly broad range. The trick is to use the op amp in such a way so as the precise gain doesn’t matter, so long as it is large enough. The magic that creates precise circuits out of horribly imprecise components is known as feedback.

How do I solve more complex resistive circuits? Are there any tricks that can make this easier? What is an independent source and what is superposition? What is a digital to analog convertor? What is a Voltage Divider? The Stamp lives in a digital world of 5V or 0V. But what if you wanted to use the Stamp to generate voltages in-between? How do you go about this? In the previous chapter, we saw that a voltage drop occurs as current flows through a resistor, and that the magnitude of this voltage is given by Ohm’s Law.

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