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​ = 250 ΩR2​ = 200 ΩR3​ = ?R4​ = 1000 ΩabG0

The Wheatstone bridge in the diagram is balanced by adjusting R₃. R₁ = 250 Ω, R₂ = 200 Ω and R₄ = 1000 Ω. Find the setting R3.

R1 = 250 ΩR2 = 200 ΩR4 = 1000 Ω
R3 = Ω
2.Easy
+−12 VR1​ = 250 ΩR2​ = 40 ΩR3​ = ?R4​ = 40 ΩabG0

The Wheatstone bridge in the diagram is balanced by adjusting R₃. R₁ = 250 Ω, R₂ = 40 Ω and R₄ = 40 Ω. Find the setting R3.

R1 = 250 ΩR2 = 40 ΩR4 = 40 Ω
R3 = Ω
3.Medium
+−2 V220 Ω220 Ω + ΔR220 Ω220 Ωab+−Vab​ = ?

A bridge has four 220 Ω arms and Vs = 2 V. The sensor R₂ increases by ΔR = 11 Ω. Find the exact output Vab in mV.

Vs = 2 VR = 220 ΩΔR = 11 Ω
Vab = mV
4.Medium
+−3 V470 Ω470 Ω + ΔR470 Ω470 Ωab+−84.91 mV

A bridge with four 470 Ω arms is supplied with 3 V. When the sensor R₂ changes, the output reads Vab = 84.91 mV. Find the exact change ΔR of R₂.

Vs = 3 VR = 470 ΩVab = 84.91 mV
ΔR = Ω
5.Hard
+−5 V350 Ω − ΔR350 Ω + ΔR350 Ω350 Ωab+−Vo​ = ?

A bridge with 350 Ω arms is excited with 5 V and has two active gauges in adjacent arms, one in tension and one in compression (half bridge). The gauge factor is 2.12 and the strain is 1200 µε. Find the bridge output Vo in mV.

Vs = 5 VGF = 2.12ε = 1200 µε
Vo = mV
6.Hard
+−2.5 V350 Ω − ΔR350 Ω + ΔR350 Ω + ΔR350 Ω − ΔRab+−Vo​ = ?

A bridge with 350 Ω arms is excited with 2.5 V and has four active gauges, two in tension and two in compression (full bridge). The gauge factor is 2.05 and the strain is 400 µε. Find the bridge output Vo in mV.

Vs = 2.5 VGF = 2.05ε = 400 µε
Vo = mV

Answer key

  1. 1. R3 = 1250 Ω
  2. 2. R3 = 250 Ω
  3. 3. Vab = 24.39 mV
  4. 4. ΔR = 56.4 Ω
  5. 5. Vo = 6.36 mV
  6. 6. Vo = 2.05 mV

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