Then 58+(42) 001110102 +110101102 = 000100002 =1610 Question 3 Given the following bridge circuit for a strain gauge, determine the value of the strain gauge resistance {RS}. Let: VIN = 5V R3 = 100 Ω R2 = 50 Ω R1 = 100 Ω 2 Midterm Exam - Solutions a) Under no strain (VOUT = 0 V) b) When VOUT = 0,5 V {under strain}. Solution: a) Under no strain: R1 R3 R1R4 R2 R3 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
R70% 30°C=( R60% 30°C * R70% 25°C =)/ R60% 25°C =9.2 kΩ Or RH = 9.2 kΩ, give RT = 50 kΩ VO = RH/(RT+RH)*2.5V = 0.388 V Question 3 Given the following bridge circuit for a strain gauge, determine the value of the strain gauge resistance {RS}. Let: VIN = 5V R3 = 200 Ω R2 = 50 Ω R1 = 100 Ω a) Under no strain. b) When VOUT = 0.5 V {under strain}. Solution: a) Under no strain: R1 R3 R1R4 R2 R3 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
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