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 = 2 V, R₁ = 250 Ω and R₂ = 500 Ω. Find the voltage V_a of node a with respect to the negative supply rail.

V_s = 2 VR₁ = 250 ΩR₂ = 500 ΩR₃ = 120 ΩR₄ = 20 Ω

V_a = V

2.Easy

In the bridge shown, V_s = 6 V, R₁ = 80 Ω and R₂ = 200 Ω. Find the voltage V_a of node a with respect to the negative supply rail.

V_s = 6 VR₁ = 80 ΩR₂ = 200 ΩR₃ = 120 ΩR₄ = 400 Ω

V_a = V

3.Medium

A bridge with four 350 Ω arms is supplied with 9 V. When the sensor R₂ changes, the output reads V_ab = 254.7 mV. Find the exact change ΔR of R₂.

V_s = 9 VR = 350 ΩV_ab = 254.7 mV

ΔR = Ω

4.Medium

A bridge has four 120 Ω arms and V_s = 2 V. The sensor R₂ increases by ΔR = 12 Ω. Find the exact output V_ab in mV.

V_s = 2 VR = 120 ΩΔR = 12 Ω

V_ab = mV

5.Hard

A bridge with 350 Ω arms is excited with 3 V and has one active gauge (quarter bridge). The gauge factor is 2 and the strain is 500 µε. Find the bridge output V_o in mV.

V_s = 3 VGF = 2ε = 500 µε

V_o = mV

6.Hard

A bridge with 350 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 750 µε. Find the bridge output V_o in mV.

V_s = 2.5 VGF = 2ε = 750 µε

V_o = mV

Answer key

1. V_a = 1.333 V
2. V_a = 4.286 V
3. ΔR = 42 Ω
4. V_ab = 47.62 mV
5. V_o = 0.75 mV
6. V_o = 3.75 mV

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