Assume that a biomedical sensor system is designed to measure the IBP of a patient. In the sensor design the following components were used; - 12 V DC Battery - voltmeter - diaphragm - unbonded strain gage armature

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Assume that a biomedical sensor system is designed to measure the IBP of a patient. In the sensor design the following components were used;
- 12 V DC Battery
- voltmeter
- diaphragm
- unbonded strain gage armature
- 4 strain gage wires made from a material with resistivity=0,00025 Ohm m ; two of the gage wires have 32 mm length and 2mm2 cross-section area. Other two shares the same 2mm2 cross-section area but have unknown common length. Assume that the length of the wires have linear relationship with the movement of the armature due to applied pressure on the diaphragm. Wire length dynamic range is from 14mm to 33mm. Also assume that the cross-section area always remains constant.
a) What should be the length of the unknown gage wires if 3V dc offset is observed on the output of the system in lab (control) environment? 
b) Assume that, when the system is tested with 8mmHg blood pressure, 2mm of change is observed on the transducer strain wire lengths. What is the voltage change caused by 8mmHg of pressure on the output of the system? 
c) Also assume that when the system is tested with 18mmHg blood pressure, 4mm of change is observed on the transducer strain wire lengths. What is the voltage change caused by 12mmHg of pressure on the output of the system?

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