A strain gauge is designed using a 4.5μm thick platinum tape as shown below. Resistivity of the platinum is given as 105-10-⁹ Q.m. (a) Determine the resistance of this sensor without strain. (b) When a force F is applied as shown then the sensor experiences a strain of 0.001. Determine the change in resistance of the sensor. (c) Estimate the gauge factor of it.

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**Strain Gauge Design Using Platinum Tape**

A strain gauge is designed using a 4.5 µm thick platinum tape as illustrated below. The resistivity of the platinum is given as \(105 \times 10^{-9} \, \Omega \cdot \text{m}\).

**Tasks:**

(a) Determine the resistance of this sensor without strain.
(b) When a force \( F \) is applied as shown, the sensor experiences a strain of 0.001. Determine the change in resistance of the sensor.
(c) Estimate the gauge factor of it.

**Diagram Explanation:**

- The diagram shows a meandering pattern of the platinum tape with specific dimensions.
- The tape is 0.15 mm wide.
- The total length of the tape is structured with segments measuring 0.6 mm each, forming 180-degree turns.
- The overall length of one segment is 30 mm.
- A force \( F \) is applied horizontally as indicated by the arrow.
Transcribed Image Text:**Strain Gauge Design Using Platinum Tape** A strain gauge is designed using a 4.5 µm thick platinum tape as illustrated below. The resistivity of the platinum is given as \(105 \times 10^{-9} \, \Omega \cdot \text{m}\). **Tasks:** (a) Determine the resistance of this sensor without strain. (b) When a force \( F \) is applied as shown, the sensor experiences a strain of 0.001. Determine the change in resistance of the sensor. (c) Estimate the gauge factor of it. **Diagram Explanation:** - The diagram shows a meandering pattern of the platinum tape with specific dimensions. - The tape is 0.15 mm wide. - The total length of the tape is structured with segments measuring 0.6 mm each, forming 180-degree turns. - The overall length of one segment is 30 mm. - A force \( F \) is applied horizontally as indicated by the arrow.
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