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
+−12 VR1​ = 10 ΩR2​ = 10 ΩR3​ = ?R4​ = 400 ΩabG0

The Wheatstone bridge in the diagram is balanced by adjusting R₃. R₁ = 10 Ω, R₂ = 10 Ω and R₄ = 400 Ω. Find the setting R3.

R1 = 10 ΩR2 = 10 ΩR4 = 400 Ω
R3 = Ω
2.Easy
+−9 VR1​ = 500 ΩR2​ = 100 ΩR3​ = ?R4​ = 20 ΩabG0

The Wheatstone bridge in the diagram is balanced by adjusting R₃. R₁ = 500 Ω, R₂ = 100 Ω and R₄ = 20 Ω. Find the setting R3.

R1 = 500 ΩR2 = 100 ΩR4 = 20 Ω
R3 = Ω
3.Medium
+−6 V250 Ω250 Ω + ΔR250 Ω250 Ωab+−115.4 mV

A bridge with four 250 Ω arms is supplied with 6 V. When the sensor R₂ changes, the output reads Vab = 115.4 mV. Find the exact change ΔR of R₂.

Vs = 6 VR = 250 ΩVab = 115.4 mV
ΔR = Ω
4.Medium
+−9 V250 Ω250 Ω + ΔR250 Ω250 Ωab+−254.7 mV

A bridge with four 250 Ω arms is supplied with 9 V. When the sensor R₂ changes, the output reads Vab = 254.7 mV. Find the exact change ΔR of R₂.

Vs = 9 VR = 250 ΩVab = 254.7 mV
ΔR = Ω
5.Hard
+−3 V120 Ω − ΔR120 Ω + ΔR120 Ω120 Ωab+−Vo​ = ?

A bridge with 120 Ω arms is excited with 3 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 1000 µε. Find the bridge output Vo in mV.

Vs = 3 VGF = 2.12ε = 1000 µε
Vo = mV
6.Hard
+−10 V120 Ω − ΔR120 Ω + ΔR120 Ω120 Ωab+−Vo​ = ?

A bridge with 120 Ω arms is excited with 10 V and has two active gauges in adjacent arms, one in tension and one in compression (half bridge). The gauge factor is 2 and the strain is 500 µε. Find the bridge output Vo in mV.

Vs = 10 VGF = 2ε = 500 µε
Vo = mV

Answer key

  1. 1. R3 = 400 Ω
  2. 2. R3 = 100 Ω
  3. 3. ΔR = 20 Ω
  4. 4. ΔR = 30 Ω
  5. 5. Vo = 3.18 mV
  6. 6. Vo = 5 mV

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