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A strain gauge is attached to a bar of length 20 cm, which is subjected to a tensile force. The nominal resistance of the strain gauge is 100Ω. The changes in resistance and elongation in the bar measured are 0.35Ω and 0.2 mm, respectively. The gauge factor of the strain gauge is (2001)
- a)2
- b)3.5
- c)10
- d)100
Correct answer is option 'B'. Can you explain this answer?
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A strain gauge is attached to a bar of length 20 cm, which is subject...
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Given data:
Length of the bar (L) = 20 cm = 0.2 m
Nominal resistance of the strain gauge (R0) = 100 Ω
Change in resistance (ΔR) = 0.35 Ω
Elongation in the bar (ΔL) = 0.2 mm = 0.2 × 10^-3 m
To find:
Gauge factor (GF) of the strain gauge
Solution:
The gauge factor (GF) is defined as the ratio of the change in resistance (ΔR) to the original resistance (R0) multiplied by the ratio of the change in length (ΔL) to the original length (L).
The formula for the gauge factor is given by:
GF = (ΔR / R0) / (ΔL / L)
Substituting the given values:
GF = (0.35 / 100) / (0.2 × 10^-3 / 0.2)
Simplifying the above expression:
GF = (0.35 / 100) / (10^-3 / 0.2)
GF = (0.35 × 0.2) / (100 × 10^-3)
GF = 0.07 / 0.01
GF = 7
Therefore, the gauge factor of the strain gauge is 7.
Conclusion:
The gauge factor of the strain gauge is 7, which corresponds to option B.
Length of the bar (L) = 20 cm = 0.2 m
Nominal resistance of the strain gauge (R0) = 100 Ω
Change in resistance (ΔR) = 0.35 Ω
Elongation in the bar (ΔL) = 0.2 mm = 0.2 × 10^-3 m
To find:
Gauge factor (GF) of the strain gauge
Solution:
The gauge factor (GF) is defined as the ratio of the change in resistance (ΔR) to the original resistance (R0) multiplied by the ratio of the change in length (ΔL) to the original length (L).
The formula for the gauge factor is given by:
GF = (ΔR / R0) / (ΔL / L)
Substituting the given values:
GF = (0.35 / 100) / (0.2 × 10^-3 / 0.2)
Simplifying the above expression:
GF = (0.35 / 100) / (10^-3 / 0.2)
GF = (0.35 × 0.2) / (100 × 10^-3)
GF = 0.07 / 0.01
GF = 7
Therefore, the gauge factor of the strain gauge is 7.
Conclusion:
The gauge factor of the strain gauge is 7, which corresponds to option B.
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A strain gauge is attached to a bar of length 20 cm, which is subjected to a tensile force. The nominal resistance of the strain gauge is 100Ω. The changes in resistance and elongation in the bar measured are 0.35Ω and 0.2 mm, respectively. The gauge factor of the strain gauge is (2001)a)2b)3.5c)10d)100Correct answer is option 'B'. Can you explain this answer?
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A strain gauge is attached to a bar of length 20 cm, which is subjected to a tensile force. The nominal resistance of the strain gauge is 100Ω. The changes in resistance and elongation in the bar measured are 0.35Ω and 0.2 mm, respectively. The gauge factor of the strain gauge is (2001)a)2b)3.5c)10d)100Correct answer is option 'B'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A strain gauge is attached to a bar of length 20 cm, which is subjected to a tensile force. The nominal resistance of the strain gauge is 100Ω. The changes in resistance and elongation in the bar measured are 0.35Ω and 0.2 mm, respectively. The gauge factor of the strain gauge is (2001)a)2b)3.5c)10d)100Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A strain gauge is attached to a bar of length 20 cm, which is subjected to a tensile force. The nominal resistance of the strain gauge is 100Ω. The changes in resistance and elongation in the bar measured are 0.35Ω and 0.2 mm, respectively. The gauge factor of the strain gauge is (2001)a)2b)3.5c)10d)100Correct answer is option 'B'. Can you explain this answer?.
A strain gauge is attached to a bar of length 20 cm, which is subjected to a tensile force. The nominal resistance of the strain gauge is 100Ω. The changes in resistance and elongation in the bar measured are 0.35Ω and 0.2 mm, respectively. The gauge factor of the strain gauge is (2001)a)2b)3.5c)10d)100Correct answer is option 'B'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A strain gauge is attached to a bar of length 20 cm, which is subjected to a tensile force. The nominal resistance of the strain gauge is 100Ω. The changes in resistance and elongation in the bar measured are 0.35Ω and 0.2 mm, respectively. The gauge factor of the strain gauge is (2001)a)2b)3.5c)10d)100Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A strain gauge is attached to a bar of length 20 cm, which is subjected to a tensile force. The nominal resistance of the strain gauge is 100Ω. The changes in resistance and elongation in the bar measured are 0.35Ω and 0.2 mm, respectively. The gauge factor of the strain gauge is (2001)a)2b)3.5c)10d)100Correct answer is option 'B'. Can you explain this answer?.
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A strain gauge is attached to a bar of length 20 cm, which is subjected to a tensile force. The nominal resistance of the strain gauge is 100Ω. The changes in resistance and elongation in the bar measured are 0.35Ω and 0.2 mm, respectively. The gauge factor of the strain gauge is (2001)a)2b)3.5c)10d)100Correct answer is option 'B'. Can you explain this answer?, a detailed solution for A strain gauge is attached to a bar of length 20 cm, which is subjected to a tensile force. The nominal resistance of the strain gauge is 100Ω. The changes in resistance and elongation in the bar measured are 0.35Ω and 0.2 mm, respectively. The gauge factor of the strain gauge is (2001)a)2b)3.5c)10d)100Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of A strain gauge is attached to a bar of length 20 cm, which is subjected to a tensile force. The nominal resistance of the strain gauge is 100Ω. The changes in resistance and elongation in the bar measured are 0.35Ω and 0.2 mm, respectively. The gauge factor of the strain gauge is (2001)a)2b)3.5c)10d)100Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
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