HW3_Soln

HW3_Soln - BENG 186B WI10 Homework 3 Solutions 1 Find...

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BENG 186B WI10 Homework 3 Solutions 1. Find expression for V o in terms of R . Op-amp property: B A V V V V = = + (eq 1) (+2 points) KCL at nodes A & B: 0 2 V 2 10 5 V 15 = Ω + Ω + Ω + Ω R V V V V A O A A (eq 2) (+4 points) 0 5 25 = Ω + Ω O B B V V V (eq 3) (+4 points) Rearrange eq 3: O B V V 6 5 = (eq 3’) Rearrange eq 2 and substitute eq 1 and eq 3’ into eq 2: Ω + Ω + Ω = Ω + Ω + Ω Ω + Ω 2 V 2 5 V 15 2 6 5 10 10 6 5 5 6 5 R R V V V V O O O O Multiply LHS and RHS by ( ) [] Ω + Ω Ω 2 10 6 R : () ( ) ( ) ( ) V 120 V 360 V 180 50 12 6 10 5 20 10 Ω + Ω + Ω = Ω + Ω + Ω Ω + Ω + Ω + Ω R V R V R V R V O O O O (Showing work, +3 points) Combine terms, solve for V O , and simplify (+1 point) : V 68 9 480 180 + + = R R V O (+1 point) NOTE: If you lost a point for not simplifying, you can get the point back by bringing the HW to the regrade office hours or Brad’s office hours and showing how it simplifies to the answer above.
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2. Find V O and the total current (absolute value) I tot supplied by the op-amps. Op-amp property: E B V V V V = = + & D C V V = (eq 1,2) (+2 points) Voltage between A & B: V 5 = B A V V (eq 3) (+1 point) Ohm’s law for I A : Ω = 5 C O A V V I (eq 4)
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HW3_Soln - BENG 186B WI10 Homework 3 Solutions 1 Find...

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