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 = 6 V.

V_s = 6 VR₁ = 100 ΩR₂ = 150 ΩR₃ = 50 ΩR₄ = 20 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 = 9 V.

V_s = 9 VR₁ = 20 ΩR₂ = 600 ΩR₃ = 1000 ΩR₄ = 60 Ω

V_ab = V

3.Medium

A bridge has four 250 Ω arms and V_s = 10 V. The sensor R₂ increases by ΔR = 37.5 Ω. Find the exact output V_ab in mV.

V_s = 10 VR = 250 ΩΔR = 37.5 Ω

V_ab = mV

4.Medium

A 150 Ω strain gauge is one arm (R₂) of a bridge with four equal 150 Ω arms and an excitation of 6 V. Find the power P_g dissipated in the gauge, in mW. Self-heating limits the excitation.

V_s = 6 VR = 150 Ω

P_g = mW

5.Hard

A bridge with 350 Ω arms is excited with 10 V and has one active gauge (quarter bridge). The gauge factor is 2.05 and the strain is 500 µε. Find the bridge output V_o in mV.

V_s = 10 VGF = 2.05ε = 500 µε

V_o = mV

6.Hard

A bridge with 350 Ω arms is excited with 5 V and has one active gauge (quarter bridge). The gauge factor is 2 and the strain is 800 µε. Find the bridge output V_o in mV.

V_s = 5 VGF = 2ε = 800 µε

V_o = mV

Answer key

1. V_ab = 1.886 V
2. V_ab = 8.2 V
3. V_ab = 348.8 mV
4. P_g = 60 mW
5. V_o = 2.563 mV
6. V_o = 2 mV

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