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
+−15 VR1​ = 50 ΩR2​ = 40 ΩR3​ = ?R4​ = 800 ΩabG0

The Wheatstone bridge in the diagram is balanced by adjusting R₃. R₁ = 50 Ω, R₂ = 40 Ω and R₄ = 800 Ω. Find the setting R3.

R1 = 50 ΩR2 = 40 ΩR4 = 800 Ω
R3 = Ω
2.Easy
+−15 VR1​ = 100 ΩR2​ = 100 ΩR3​ = ?R4​ = 50 ΩabG0

The Wheatstone bridge in the diagram is balanced by adjusting R₃. R₁ = 100 Ω, R₂ = 100 Ω and R₄ = 50 Ω. Find the setting R3.

R1 = 100 ΩR2 = 100 ΩR4 = 50 Ω
R3 = Ω
3.Medium
+−2 V1000 Ω1000 Ω + ΔR1000 Ω1000 Ωab+−Vab​ = ?

A bridge has four 1000 Ω arms and Vs = 2 V. The sensor R₂ increases by ΔR = 50 Ω. Find the exact output Vab in mV.

Vs = 2 VR = 1000 ΩΔR = 50 Ω
Vab = mV
4.Medium
+−5 V100 Ω100 Ω + ΔR100 Ω100 Ωab+−49.02 mV

A bridge with four 100 Ω arms is supplied with 5 V. When the sensor R₂ changes, the output reads Vab = 49.02 mV. Find the exact change ΔR of R₂.

Vs = 5 VR = 100 ΩVab = 49.02 mV
ΔR = Ω
5.Hard
+−3 V350 Ω350 Ω + ΔR350 Ω350 Ωab+−0.384 mV

A quarter bridge with one active gauge (GF = 2.05) is excited with 3 V. Under load the output reads 0.384 mV. Find the strain ε in µε.

Vs = 3 VGF = 2.05Vo = 0.384 mV
ε = µε
6.Hard
+−3 V1000 Ω − ΔR1000 Ω + ΔR1000 Ω + ΔR1000 Ω − ΔRab+−Vo​ = ?

A bridge with 1000 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 200 µε. Find the bridge output Vo in mV.

Vs = 3 VGF = 2ε = 200 µε
Vo = mV

Answer key

  1. 1. R3 = 1000 Ω
  2. 2. R3 = 50 Ω
  3. 3. Vab = 24.39 mV
  4. 4. ΔR = 4 Ω
  5. 5. ε = 249.8 µε
  6. 6. Vo = 1.2 mV

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