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

The Wheatstone bridge in the diagram is balanced by adjusting R₃. R₁ = 400 Ω, R₂ = 200 Ω and R₄ = 800 Ω. Find the setting R₃.

R₁ = 400 ΩR₂ = 200 ΩR₄ = 800 Ω

R₃ = Ω

2.Easy

The Wheatstone bridge in the diagram is balanced by adjusting R₃. R₁ = 40 Ω, R₂ = 400 Ω and R₄ = 150 Ω. Find the setting R₃.

R₁ = 40 ΩR₂ = 400 ΩR₄ = 150 Ω

R₃ = Ω

3.Medium

A bridge has four 1000 Ω arms and V_s = 10 V. The sensor R₂ increases by ΔR = 200 Ω. Find the exact output V_ab in mV.

V_s = 10 VR = 1000 ΩΔR = 200 Ω

V_ab = mV

4.Medium

A bridge has four 150 Ω arms and V_s = 15 V. The sensor R₂ increases by ΔR = 30 Ω. Find the exact output V_ab in mV.

V_s = 15 VR = 150 ΩΔR = 30 Ω

V_ab = mV

5.Hard

A quarter bridge with one active gauge (GF = 2) is excited with 10 V. Under load the output reads 7.5 mV. Find the strain ε in µε.

V_s = 10 VGF = 2V_o = 7.5 mV

ε = µε

6.Hard

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 2.12 and the strain is 1500 µε. Find the bridge output V_o in mV.

V_s = 10 VGF = 2.12ε = 1500 µε

V_o = mV

Answer key

1. R₃ = 1600 Ω
2. R₃ = 15 Ω
3. V_ab = 454.5 mV
4. V_ab = 681.8 mV
5. ε = 1500 µε
6. V_o = 15.9 mV

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