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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 differentialmode and commonmode 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 opamp. + + + 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 opamp, 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 commonmode 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.
 Spring '06
 Audiffred

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