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Unformatted text preview: UNIVERSITY OF CALIFORNIA AT BERKELEY EECS Department Page 1 of 13 EECS 40/42/100, Spring 2007 Prof. Chang-Hasnain Homework #9 (Note: EE42/100 is out of 85 pts, EE40 is out of 100 pts) Due at 6 pm in 240 Cory on Wednesday, 04/04/07 Total Points: 100 • Put (1) your name and (2) discussion section number on your homework. • You need to put down all the derivation steps to obtain full credits of the problems. Numerical answers alone will at best receive low percentage partial credits. • No late submission will be accepted expect those with prior approval from Prof. Chang-Hasnain. • *Note: Power gain is defined as the ratio between power to a load and power from an input source. 1. Hambley, P14.33 [5 points] Because of the variation requirements, we must use 1% resistors. To satisfy the 1k input impedance requirement we place a 1k resistor at the input. To satisfy a gain of 10, we require a ratio of 9 in the feedback line resistances. In this configuration, maximum output variation in the lower direction is: ( ) ( ) 82 . 9 01 . 1 1 99 . 9 1 Gain = + = k k The maximum in the upper direction is: ( ) ( ) 18 . 10 99 . 1 01 . 1 9 1 Gain = + = k k Both of these values satisfy the 3% variation requirement. *Students may have different amplifier structures (such as cascaded inverting amplifiers) *1pt for drawing your amplifier structure labeled with values *2pts for satisfying the gain relationship *1pt for satisfying the gain variation requirement *1pt for satisfying the input resistance variation requirement UNIVERSITY OF CALIFORNIA AT BERKELEY EECS Department Page 2 of 13 2. Hambley, P14.39 [10 pts] a) Applying nodal analysis at the output node, and KVL around the outer loop: [5 pts] o s o o ol in o s V V V R V V A R V V − = = − + − 1 1 , o o ol o o in o o s ol in s R V A R V R V R V A R V + + = + ( ) + + = + o in ol in o o o in in ol o s R R A R R V R R R A R V 1 ( ) ( ) ( ) 1 99999 . 10 1 1 25 10 1 25 1 5 5 ≈ = + Ω + Ω Ω + Ω = + + + = M M A R R A R R V V ol in o ol in o s o b) By Ohm’s Law: [2 pts] ( ) − = − = − = in CL s in CL s s in o s s R A V R A V V R V V i 1 , where A CL is the closed loop gain computed in (a) Ω = − Ω = − = = G M A R i V Z CL in s s in 100 99999 . 1 1 1 This is similar to the “infinite input impedance” assumed for ideal op-amps....
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- Spring '07
- Amplifier, Resistor, Thévenin's theorem, Electrical parameters, EECS Department