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 = 9 V.

V_s = 9 VR₁ = 500 ΩR₂ = 250 ΩR₃ = 250 ΩR₄ = 600 Ω

V_ab = V

2.Easy

The bridge shown is supplied with V_s = 3 V and its output is open. Find the current I_s drawn from the supply, in mA.

V_s = 3 VR₁ = 80 ΩR₂ = 80 ΩR₃ = 400 ΩR₄ = 250 Ω

I_s = mA

3.Medium

A bridge with four 400 Ω arms is supplied with 5 V. When the sensor R₂ changes, the output reads V_ab = 12.44 mV. Find the exact change ΔR of R₂.

V_s = 5 VR = 400 ΩV_ab = 12.44 mV

ΔR = Ω

4.Medium

A bridge has four 400 Ω arms and V_s = 2 V. The sensor R₂ increases by ΔR = 32 Ω. Find the exact output V_ab in mV.

V_s = 2 VR = 400 ΩΔR = 32 Ω

V_ab = mV

5.Hard

A bridge with 1000 Ω arms is excited with 3 V and has one active gauge (quarter bridge). The gauge factor is 2.12 and the strain is 750 µε. Find the bridge output V_o in mV.

V_s = 3 VGF = 2.12ε = 750 µε

V_o = mV

6.Hard

A bridge with 1000 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 and the strain is 1000 µε. Find the bridge output V_o in mV.

V_s = 2.5 VGF = 2ε = 1000 µε

V_o = mV

Answer key

1. V_ab = −3.353 V
2. I_s = 23.37 mA
3. ΔR = 4.001 Ω
4. V_ab = 38.46 mV
5. V_o = 1.192 mV
6. V_o = 5 mV

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