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 = 15 V.

V_s = 15 VR₁ = 500 ΩR₂ = 40 ΩR₃ = 400 ΩR₄ = 10 Ω

V_ab = V

2.Easy

The bridge shown is supplied with V_s = 2 V and its output is open. Find the current I_s drawn from the supply, in mA.

V_s = 2 VR₁ = 120 ΩR₂ = 120 ΩR₃ = 600 ΩR₄ = 100 Ω

I_s = mA

3.Medium

A bridge has four 300 Ω arms and V_s = 10 V. The sensor R₂ increases by ΔR = 75 Ω. Find the exact output V_ab in mV.

V_s = 10 VR = 300 ΩΔR = 75 Ω

V_ab = mV

4.Medium

A bridge has four 100 Ω arms and V_s = 5 V. The sensor R₂ increases by ΔR = 0.8 Ω. Using the small-change approximation, find the output V_ab in mV.

V_s = 5 VR = 100 ΩΔR = 0.8 Ω

V_ab = mV

5.Hard

A bridge with 1000 Ω arms is excited with 10 V and has one active gauge (quarter bridge). The gauge factor is 2 and the strain is 200 µε. Find the bridge output V_o in mV.

V_s = 10 VGF = 2ε = 200 µε

V_o = mV

6.Hard

A bridge with 350 Ω arms is excited with 10 V and has four active gauges, two in tension and two in compression (full bridge). The gauge factor is 2.12 and the strain is 1000 µε. Find the bridge output V_o in mV.

V_s = 10 VGF = 2.12ε = 1000 µε

V_o = mV

Answer key

1. V_ab = 0.7453 V
2. I_s = 11.19 mA
3. V_ab = 555.6 mV
4. V_ab = 10 mV
5. V_o = 1 mV
6. V_o = 21.2 mV

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