VOUT IN V VIN 1 R R 2 R3 R4 1 ( R R2 )( R3 R4 ) With zero output VOUT 0 , the balanced bridge will be: R R 50 *100 R2 R4 R1R3 , then R4 RS 2 3 50 R1 100 b) When VOUT = 0,5 V {under strain}, R1 R3 VOUT VIN 1 R R 2 R3 R4 100 100 0,5V 5V 100 50 100 R4 R4 RS 76,46 Question 4
VOUT IN V VIN R1 R2 R3 R 4 ( R1 R2 )( R3 R4 ) With zero output VOUT 0 , the balanced bridge will be: Mechatronics Systems in Automotive Engineering 4 Week 04 Homework - Solutions R2 R3 50 * 200 R2 R4 R1R3 , then R4 RS 100 R1 100 b) When VOUT = 0,5 V {under strain}, R1 R3 VOUT VIN R1 R2 R3 R4 100 200 0,5V 5V 100 50 200 R4 R4 RS 153 Question 4
Ë R1 + R2 Rf + R3 ¯ Expanding and solving for Vo: V1RfR2 + V1R2R3 - ( V2RfRL + V2RfR2) Vo = Av R1Rf + R2R3 + R2Rf + R2R3 + AvR3R1 + AvR2R3 Dividing the right fraction by Av/Av and allowing Av to be very large: V1R2Rf + V1R2R3 - ( V2RfRL + V2RfR2) Vo = R1R3 + R2R3 V1 ¥ R2 Ê Rf ˆ Rf = 1+ - V2 R1 + R2 Ë R3 ¯ R3 If R2 = RF and R1 = R3, then we get: 236 Appendix A Rf Vo = ( V1 - V2) R3
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