2022-10-22 10:24 Status: # Op amp Gain and Bandwidth Output resistance from the first stage is parallel combination of drain source resistance for two transistors connected to the output. Same for second stage. Thus gain of first stage is transconductance times the output resistance of the first stage, and same for the second: ![](attachments/Op%20amp%20Gain%20and%20Bandwidth.png#invert) ![](attachments/Op%20amp%20Gain%20and%20Bandwidth-1.png#invert) ## Compensation Capacitor Sits between input and output. Ensures there is a single dominant pole - stable in user feedback. Becomes a miller capacitor seen at the output of the first stage.![](attachments/Op%20amp%20Gain%20and%20Bandwidth-3.png#invert) Thus the dominant pole is: ![](attachments/Op%20amp%20Gain%20and%20Bandwidth-6.png#invert) ## Angular Gain-Bandwidth Product ![](attachments/Op%20amp%20Gain%20and%20Bandwidth-8.png#invert) Thus equation is actually quite hard to avoid! ## Single Pole Amplifier ![](attachments/Op%20amp%20Gain%20and%20Bandwidth-10.png#invert) ![](attachments/Op%20amp%20Gain%20and%20Bandwidth-11.png#invert) ![](attachments/Op%20amp%20Gain%20and%20Bandwidth-12.png#invert) This expression ignores the effect of the dominant pole (assumes that s >> w1) and assumes it is a straight line - handy for stability analysis. ![](attachments/Op%20amp%20Gain%20and%20Bandwidth-13.png#invert) [^1] --- # References [^1]: [vr-4602-wk05-sc02-opampgainbw](../../Spaces/University/ELEC4602%20–%20Microelectronics%20Design%20and%20Technology/Lectures/W4/vr-4602-wk05-sc02-opampgainbw.mp4)