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 = 3 V, R₁ = 500 Ω and R₂ = 40 Ω. Find the voltage V_a of node a with respect to the negative supply rail.

V_s = 3 VR₁ = 500 ΩR₂ = 40 ΩR₃ = 60 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 = 10 V.

V_s = 10 VR₁ = 120 ΩR₂ = 800 ΩR₃ = 500 ΩR₄ = 400 Ω

V_ab = V

3.Medium

A bridge has four 220 Ω arms and V_s = 9 V. The sensor R₂ increases by ΔR = 11 Ω. Find the exact output V_ab in mV.

V_s = 9 VR = 220 ΩΔR = 11 Ω

V_ab = mV

4.Medium

A bridge with four 120 Ω arms is supplied with 9 V. When the sensor R₂ changes, the output reads V_ab = 173.1 mV. Find the exact change ΔR of R₂.

V_s = 9 VR = 120 ΩV_ab = 173.1 mV

ΔR = Ω

5.Hard

A bridge with 120 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 750 µε. Find the bridge output V_o in mV.

V_s = 3 VGF = 2ε = 750 µε

V_o = mV

6.Hard

A bridge with 1000 Ω arms is excited with 5 V and has one active gauge (quarter bridge). The gauge factor is 2.05 and the strain is 1500 µε. Find the bridge output V_o in mV.

V_s = 5 VGF = 2.05ε = 1500 µε

V_o = mV

Answer key

1. V_a = 0.2222 V
2. V_ab = 4.251 V
3. V_ab = 109.8 mV
4. ΔR = 9.6 Ω
5. V_o = 4.5 mV
6. V_o = 3.844 mV

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