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
50 ΩRₓBGACD80 cm

In a slide-wire (metre) bridge a known 50 Ω resistor sits in the left gap and an unknown resistor Rₓ in the right gap. The galvanometer reads zero when the jockey is 80 cm from the left end A of the 100 cm wire. Find Rx.

R = 50 Ωl = 80 cmL = 100 cm
Rx = Ω
2.Easy
+−10 VR1​ = 400 ΩR2​ = 80 ΩR3​ = 300 ΩR4​ = 800 Ωab+−Vab​ = ?

Find the open-circuit output voltage Vab = Va − Vb of the bridge shown, with Vs = 10 V.

Vs = 10 VR1 = 400 ΩR2 = 80 ΩR3 = 300 ΩR4 = 800 Ω
Vab = V
3.Medium
+−3 V100 Ω100 Ω + ΔR100 Ω100 Ωab+−Vab​ = ?

A bridge has four 100 Ω arms and Vs = 3 V. The sensor R₂ increases by ΔR = 0.25 Ω. Using the small-change approximation, find the output Vab in mV.

Vs = 3 VR = 100 ΩΔR = 0.25 Ω
Vab = mV
4.Medium
+−6 V220 Ω220 Ω220 Ω220 Ωab+−

A 220 Ω strain gauge is one arm (R₂) of a bridge with four equal 220 Ω arms and an excitation of 6 V. Find the power Pg dissipated in the gauge, in mW. Self-heating limits the excitation.

Vs = 6 VR = 220 Ω
Pg = mW
5.Hard
+−10 V120 Ω − ΔR120 Ω + ΔR120 Ω120 Ωab+−Vo​ = ?

A bridge with 120 Ω arms is excited with 10 V and has two active gauges in adjacent arms, one in tension and one in compression (half bridge). The gauge factor is 2.05 and the strain is 1200 µε. Find the bridge output Vo in mV.

Vs = 10 VGF = 2.05ε = 1200 µε
Vo = mV
6.Hard
+−3 V350 Ω350 Ω + ΔR350 Ω350 Ωab+−Vo​ = ?

A bridge with 350 Ω arms is excited with 3 V and has one active gauge (quarter bridge). The gauge factor is 2.05 and the strain is 250 µε. Find the bridge output Vo in mV.

Vs = 3 VGF = 2.05ε = 250 µε
Vo = mV

Answer key

  1. 1. Rx = 12.5 Ω
  2. 2. Vab = −5.606 V
  3. 3. Vab = 1.875 mV
  4. 4. Pg = 40.91 mW
  5. 5. Vo = 12.3 mV
  6. 6. Vo = 0.3844 mV

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