BioBuilding: Synthetic Biology for Teachers: Lab 3 Exploring Gain
Eau That Smell Lab notes |
Examining system behavior at different gain valuesResistance = 10 MΩRight now, the OpAmp's output and minus input are connected with a 10 MΩ resistor.
A circuit with very tight fully-on-or-fully-off behavior is more "digital", or switch-like, while a circuit where the LED can have a wide middle range of brightness is more "analog", or dial-like. The range of flashlight intensities that can hold the LED half-lit is a measure of the gain or strength of the amplifier. More precisely, the gain is the slope of the LED-output-vs.-photodiode-input line. Because the maximum brightness is the same for every circuit, a high-gain amplifier will cause the LED's brightness to max out even at a low level of input to the photodiode, whereas a low-gain amplifier will cause the LED's brightness to increase slowly before maxing out, as the photodiode input increases. We can tune this gain by changing the value of the gain resistor. 4. Sketch a graph with flashlight intensity on the x-axis and LED light intensity on the y-axis. At infinite resistance in place, is the circuit's behavior better described as a switch or a dial? Resistance = 0ΩReplace the 10MΩ resistor with a wire.
Resistance = infinite ΩRemove the wire connecting the OpAmp's output to its negative input.
Discussion
An air conditioner is an example of a switch-like system. The cold air is either all the way on or all the way off, depending on the current temperature. The gain is how powerful the air stream is and how cold it is -- these aspects control how fast the A/C can change the temperature of the room. A cruise control is an example of a dial-like system. The amount by which it depresses or lets up on the gas pedal is directly proportional to the difference between the current speed and the desired speed, not just on-off. The gain is the relationship between the gas pedal angle and the acceleration; it will be affected by factors like the construction of the gas pedal, the engine power, the weight of the car, and air resistance.
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