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

The Wheatstone bridge in the diagram is balanced by adjusting R₃. R₁ = 800 Ω, R₂ = 1000 Ω and R₄ = 200 Ω. Find the setting R₃.

R₁ = 800 ΩR₂ = 1000 ΩR₄ = 200 Ω

R₃ = Ω

2.Easy

The bridge shown is supplied with V_s = 5 V and its output is open. Find the current I_s drawn from the supply, in mA.

V_s = 5 VR₁ = 400 ΩR₂ = 400 ΩR₃ = 150 ΩR₄ = 300 Ω

I_s = mA

3.Medium

A bridge has four 330 Ω arms and V_s = 5 V. The sensor R₂ increases by ΔR = 33 Ω. Find the exact output V_ab in mV.

V_s = 5 VR = 330 ΩΔR = 33 Ω

V_ab = mV

4.Medium

A bridge has four 250 Ω arms and V_s = 6 V. The sensor R₂ increases by ΔR = 2 Ω. Using the small-change approximation, find the output V_ab in mV.

V_s = 6 VR = 250 ΩΔR = 2 Ω

V_ab = mV

5.Hard

A quarter bridge (one active gauge, GF = 2.12) is excited with 3 V. The largest strain to be measured is 1000 µε, and it must give 10 V at the input of an analogue-to-digital converter. Find the amplifier gain G.

V_s = 3 VGF = 2.12ε_max = 1000 µεV_FS = 10 V

G =

6.Hard

A quarter bridge (one active gauge, GF = 2.05) is excited with 3 V. The largest strain to be measured is 600 µε, and it must give 2.5 V at the input of an analogue-to-digital converter. Find the amplifier gain G.

V_s = 3 VGF = 2.05ε_max = 600 µεV_FS = 2.5 V

G =

Answer key

1. R₃ = 160 Ω
2. I_s = 17.36 mA
3. V_ab = 119 mV
4. V_ab = 12 mV
5. G = 6289
6. G = 2710

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