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.

New worksheet Practise online with hints

For teachers: free to print, copy and use in class. Every new worksheet has new values and its own answer key. A link to ExamProblems on your course page is appreciated.

Name: ____________________ Date: ____________

1.Easy

In the bridge shown, V_s = 10 V, R₁ = 150 Ω and R₂ = 60 Ω. Find the voltage V_a of node a with respect to the negative supply rail.

V_s = 10 VR₁ = 150 ΩR₂ = 60 ΩR₃ = 250 ΩR₄ = 250 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 = 9 V.

V_s = 9 VR₁ = 80 ΩR₂ = 300 ΩR₃ = 120 ΩR₄ = 300 Ω

V_ab = V

3.Medium

A bridge with four 300 Ω arms is supplied with 3 V. When the sensor R₂ changes, the output reads V_ab = 84.91 mV. Find the exact change ΔR of R₂.

V_s = 3 VR = 300 ΩV_ab = 84.91 mV

ΔR = Ω

4.Medium

A bridge has four 1000 Ω arms and V_s = 10 V. The sensor R₂ increases by ΔR = 80 Ω. Find the exact output V_ab in mV.

V_s = 10 VR = 1000 ΩΔR = 80 Ω

V_ab = mV

5.Hard

A bridge with 350 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 2.1 and the strain is 1000 µε. Find the bridge output V_o in mV.

V_s = 3 VGF = 2.1ε = 1000 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 600 µε. Find the bridge output V_o in mV.

V_s = 5 VGF = 2ε = 600 µε

V_o = mV

Answer key

1. V_a = 2.857 V
2. V_ab = 0.6767 V
3. ΔR = 36 Ω
4. V_ab = 192.3 mV
5. V_o = 6.3 mV
6. V_o = 1.5 mV

Full step-by-step solutions: practise this topic on examproblems.com.