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

Find the open-circuit output voltage V_ab = V_a − V_b of the bridge shown, with V_s = 5 V.

V_s = 5 VR₁ = 200 ΩR₂ = 80 ΩR₃ = 400 ΩR₄ = 10 Ω

V_ab = V

2.Easy

Find the open-circuit output voltage V_ab = V_a − V_b of the bridge shown, with V_s = 3 V.

V_s = 3 VR₁ = 50 ΩR₂ = 800 ΩR₃ = 400 ΩR₄ = 120 Ω

V_ab = V

3.Medium

A bridge has four 470 Ω arms and V_s = 5 V. The sensor R₂ increases by ΔR = 3.76 Ω. Using the small-change approximation, find the output V_ab in mV.

V_s = 5 VR = 470 ΩΔR = 3.76 Ω

V_ab = mV

4.Medium

A bridge with four 1000 Ω arms is supplied with 2 V. When the sensor R₂ changes, the output reads V_ab = 4.98 mV. Find the exact change ΔR of R₂.

V_s = 2 VR = 1000 ΩV_ab = 4.98 mV

ΔR = Ω

5.Hard

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 1500 µε. Find the bridge output V_o in mV.

V_s = 3 VGF = 2ε = 1500 µε

V_o = mV

6.Hard

A bridge with 350 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 and the strain is 800 µε. Find the bridge output V_o in mV.

V_s = 3 VGF = 2ε = 800 µε

V_o = mV

Answer key

1. V_ab = 1.307 V
2. V_ab = 2.131 V
3. V_ab = 10 mV
4. ΔR = 10.01 Ω
5. V_o = 9 mV
6. V_o = 2.4 mV

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