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 = 10 V.

V_s = 10 VR₁ = 500 ΩR₂ = 500 ΩR₃ = 300 ΩR₄ = 50 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 = 15 V.

V_s = 15 VR₁ = 150 ΩR₂ = 1000 ΩR₃ = 80 ΩR₄ = 60 Ω

V_ab = V

3.Medium

A bridge has four 350 Ω arms and V_s = 12 V. The sensor R₂ increases by ΔR = 70 Ω. Find the exact output V_ab in mV.

V_s = 12 VR = 350 ΩΔR = 70 Ω

V_ab = mV

4.Medium

Find the Thévenin resistance R_th of the bridge shown, seen from the output terminals a and b.

V_s = 10 VR₁ = 300 ΩR₂ = 400 ΩR₃ = 600 ΩR₄ = 10 Ω

R_th = Ω

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 and the strain is 1200 µε. Find the bridge output V_o in mV.

V_s = 10 VGF = 2ε = 1200 µε

V_o = mV

6.Hard

A bridge with 350 Ω arms is excited with 3 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 600 µε. Find the bridge output V_o in mV.

V_s = 3 VGF = 2ε = 600 µε

V_o = mV

Answer key

1. V_ab = 3.571 V
2. V_ab = 6.615 V
3. V_ab = 545.5 mV
4. R_th = 181.3 Ω
5. V_o = 6 mV
6. V_o = 1.8 mV

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