Wheatstone bridge & strain gauges worksheet with answers

Free printable Wheatstone bridge & strain gauges worksheet: 6 problems from easy to exam level, with an answer key. Print it or save it as a PDF.

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1.Easy
+−5 VR1​ = 250 ΩR2​ = 60 ΩR3​ = 200 ΩR4​ = 300 Ωab+−Vab​ = ?

Find the open-circuit output voltage Vab = Va − Vb of the bridge shown, with Vs = 5 V.

Vs = 5 VR1 = 250 ΩR2 = 60 ΩR3 = 200 ΩR4 = 300 Ω
Vab = V
2.Easy
+−15 VR1​ = 200 ΩR2​ = 200 ΩR3​ = 20 ΩR4​ = 150 Ωab+−Vab​ = ?

Find the open-circuit output voltage Vab = Va − Vb of the bridge shown, with Vs = 15 V.

Vs = 15 VR1 = 200 ΩR2 = 200 ΩR3 = 20 ΩR4 = 150 Ω
Vab = V
3.Medium
+−5 V470 Ω470 Ω + ΔR470 Ω470 Ωab+−12.44 mV

A bridge with four 470 Ω arms is supplied with 5 V. When the sensor R₂ changes, the output reads Vab = 12.44 mV. Find the exact change ΔR of R₂.

Vs = 5 VR = 470 ΩVab = 12.44 mV
ΔR = Ω
4.Medium
+−15 V150 Ω150 Ω + ΔR150 Ω150 Ωab+−147.1 mV

A bridge with four 150 Ω arms is supplied with 15 V. When the sensor R₂ changes, the output reads Vab = 147.1 mV. Find the exact change ΔR of R₂.

Vs = 15 VR = 150 ΩVab = 147.1 mV
ΔR = Ω
5.Hard
+−3 V120 Ω120 Ω + ΔR120 Ω120 Ωab+−0.375 mV

A quarter bridge with one active gauge (GF = 2) is excited with 3 V. Under load the output reads 0.375 mV. Find the strain ε in µε.

Vs = 3 VGF = 2Vo = 0.375 mV
ε = µε
6.Hard
+−10 V120 Ω120 Ω + ΔR120 Ω120 Ωab+−7.95 mV

A quarter bridge with one active gauge (GF = 2.12) is excited with 10 V. Under load the output reads 7.95 mV. Find the strain ε in µε.

Vs = 10 VGF = 2.12Vo = 7.95 mV
ε = µε

Answer key

  1. 1. Vab = −2.032 V
  2. 2. Vab = −5.735 V
  3. 3. ΔR = 4.701 Ω
  4. 4. ΔR = 6 Ω
  5. 5. ε = 250 µε
  6. 6. ε = 1500 µε

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