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
+−10 VR1​ = 200 ΩR2​ = 800 ΩR3​ = 10 ΩR4​ = 80 Ωab+−Vab​ = ?

Find the open-circuit output voltage Vab = Va − Vb of the bridge shown, with Vs = 10 V.

Vs = 10 VR1 = 200 ΩR2 = 800 ΩR3 = 10 ΩR4 = 80 Ω
Vab = V
2.Easy
+−2 VR1​ = 1000 ΩR2​ = 50 ΩR3​ = ?R4​ = 10 ΩabG0

The Wheatstone bridge in the diagram is balanced by adjusting R₃. R₁ = 1000 Ω, R₂ = 50 Ω and R₄ = 10 Ω. Find the setting R3.

R1 = 1000 ΩR2 = 50 ΩR4 = 10 Ω
R3 = Ω
3.Medium
+−3 V100 Ω100 Ω + ΔR100 Ω100 Ωab+−Vab​ = ?

A bridge has four 100 Ω arms and Vs = 3 V. The sensor R₂ increases by ΔR = 10 Ω. Find the exact output Vab in mV.

Vs = 3 VR = 100 ΩΔR = 10 Ω
Vab = mV
4.Medium
+−12 V500 Ω500 Ω + ΔR500 Ω500 Ωab+−117.7 mV

A bridge with four 500 Ω arms is supplied with 12 V. When the sensor R₂ changes, the output reads Vab = 117.7 mV. Find the exact change ΔR of R₂.

Vs = 12 VR = 500 ΩVab = 117.7 mV
ΔR = Ω
5.Hard
+−3 V350 Ω − ΔR350 Ω + ΔR350 Ω + ΔR350 Ω − ΔRab+−Vo​ = ?

A bridge with 350 Ω arms is excited with 3 V and has four active gauges, two in tension and two in compression (full bridge). The gauge factor is 2 and the strain is 800 µε. Find the bridge output Vo in mV.

Vs = 3 VGF = 2ε = 800 µε
Vo = mV
6.Hard
+−10 V120 Ω120 Ω + ΔR120 Ω120 Ωab+−4.24 mV

A quarter bridge with one active gauge (GF = 2.12) is excited with 10 V. Under load the output reads 4.24 mV. Find the strain ε in µε.

Vs = 10 VGF = 2.12Vo = 4.24 mV
ε = µε

Answer key

  1. 1. Vab = −0.8889 V
  2. 2. R3 = 200 Ω
  3. 3. Vab = 71.43 mV
  4. 4. ΔR = 20 Ω
  5. 5. Vo = 4.8 mV
  6. 6. ε = 800 µε

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