HW_9_Sol - Homework 9 Solutions 1 If M and M are matched...

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Homework 9 Solutions 1. If and are matched and are both saturated, if , and if the Early effect is negligible, then , because they both have the same gate and source voltages. KCL implies that . Together, these two equations imply that . 2. By setting and applying KCL at node V , we find from the EKV model that which we can invert and solve for V to find that EQ In order for to remain in saturation, we must have that , which implies that we must have that because if and if . In order to keep and saturated, we must have that and . In strong inversion, for and is given by , which implies that we should require if and are to remain in saturation. 3. If we increase relative to , will increase above , which would cause V to increase, decreasing both and until . The net result would be that , that , and that V would be higher than it was originally. If we were to increase further, this trend would continue until has almost all of and has almost none. If instead we were to decrease relative to , would
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