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

In the bridge shown, V_s = 6 V, R₁ = 300 Ω and R₂ = 300 Ω. Find the voltage V_a of node a with respect to the negative supply rail.

V_s = 6 VR₁ = 300 ΩR₂ = 300 ΩR₃ = 400 ΩR₄ = 600 Ω

V_a = V

2.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 = 150 ΩR₃ = 1000 ΩR₄ = 800 Ω

V_ab = V

3.Medium

A bridge has four 400 Ω arms and V_s = 9 V. The sensor R₂ increases by ΔR = 60 Ω. Find the exact output V_ab in mV.

V_s = 9 VR = 400 ΩΔR = 60 Ω

V_ab = mV

4.Medium

A bridge with four 200 Ω arms is supplied with 12 V. When the sensor R₂ changes, the output reads V_ab = 29.85 mV. Find the exact change ΔR of R₂.

V_s = 12 VR = 200 ΩV_ab = 29.85 mV

ΔR = Ω

5.Hard

A bridge with 120 Ω arms is excited with 2.5 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 200 µε. Find the bridge output V_o in mV.

V_s = 2.5 VGF = 2ε = 200 µε

V_o = mV

6.Hard

A bridge with 350 Ω arms is excited with 2.5 V and has one active gauge (quarter bridge). The gauge factor is 2.05 and the strain is 1000 µε. Find the bridge output V_o in mV.

V_s = 2.5 VGF = 2.05ε = 1000 µε

V_o = mV

Answer key

1. V_a = 3 V
2. V_ab = −3.205 V
3. V_ab = 314 mV
4. ΔR = 2 Ω
5. V_o = 0.5 mV
6. V_o = 1.281 mV

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