S06hw3s

S06hw3s - EE3220 Homework #3 Solutions February 23, 2006...

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Unformatted text preview: EE3220 Homework #3 Solutions February 23, 2006 8.11 Consider a periodic signal v ( t ) and its inverse- v ( t ). Prove that the differential mode of these two signals is equal to 2 v ( t ) and their common mode is equal to zero. These results should apply for an arbitrary v ( t ) regardless of waveform type. v idm v 1- v 2 = v ( t )- (- v ( t )) = 2 v ( t ) v icm v 1 + v 2 2 = v ( t ) + (- v ( t )) 2 = 8.13 Find the differential-mode and common-mode components of two voltages v 1 = 4 + 1 . 2 sin t V and v 2 = 4 + 0 . 2 sin t V. v idm = 4 + 1 . 2 sin t- 4- . 2 sin t = sin t V v icm = 4 + 1 . 2 sin t + 4 + 0 . 2 sin t 2 = 4 + 0 . 7 sin t V 8.18 The two input amplifier below is made from an ideal op-amp.- + +- +- v OUT R 2 R 4 R 1 R 3 v 1 v 2 1 a) Find an expression for v OUT in terms of v 1 , v 2 , and the resistor values. Assuming an ideal op-amp, then: v + = R 4 R 3 + R 4 v 2 v- v + i = v 1- v- R 1 v OUT = v-- iR 2 = R 4 R 3 + R 4 v 2- v 1- v- R 1 R 2 = R 4 R 3 + R 4 v 2- R 2 R 1 v 1- R 4 R 3 + R 4 v 2 = 1 + R 2 R 1 R 4 R 3 + R 4 v 2- R 2 R 1 v 1 b) What are the magnitudes of the differential- and common-mode gains and the CMRR of the circuit?...
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This homework help was uploaded on 04/20/2008 for the course EE 3220 taught by Professor Audiffred during the Spring '06 term at LSU.

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S06hw3s - EE3220 Homework #3 Solutions February 23, 2006...

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