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
100 ΩRₓBGACD40 cm

In a slide-wire (metre) bridge a known 100 Ω resistor sits in the left gap and an unknown resistor Rₓ in the right gap. The galvanometer reads zero when the jockey is 40 cm from the left end A of the 100 cm wire. Find Rx.

R = 100 Ωl = 40 cmL = 100 cm
Rx = Ω
2.Easy
+−12 VR1​ = 40 ΩR2​ = 300 ΩR3​ = 40 ΩR4​ = ?abG0

The Wheatstone bridge in the diagram is balanced: the galvanometer reads zero. R₁ = 40 Ω, R₂ = 300 Ω and R₃ = 40 Ω. Find the unknown resistor R4.

R1 = 40 ΩR2 = 300 ΩR3 = 40 Ω
R4 = Ω
3.Medium
+−15 V300 Ω300 Ω + ΔR300 Ω300 Ωab+−182.9 mV

A bridge with four 300 Ω arms is supplied with 15 V. When the sensor R₂ changes, the output reads Vab = 182.9 mV. Find the exact change ΔR of R₂.

Vs = 15 VR = 300 ΩVab = 182.9 mV
ΔR = Ω
4.Medium
+−15 V470 Ω470 Ω + ΔR470 Ω470 Ωab+−Vab​ = ?

A bridge has four 470 Ω arms and Vs = 15 V. The sensor R₂ increases by ΔR = 117.5 Ω. Find the exact output Vab in mV.

Vs = 15 VR = 470 ΩΔR = 117.5 Ω
Vab = mV
5.Hard
+−2.5 V120 Ω − ΔR120 Ω + ΔR120 Ω + ΔR120 Ω − ΔRab+−Vo​ = ?

A bridge with 120 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 2.1 and the strain is 1500 µε. Find the bridge output Vo in mV.

Vs = 2.5 VGF = 2.1ε = 1500 µε
Vo = mV
6.Hard
+−3 V120 Ω120 Ω + ΔR120 Ω120 Ωab+−Vo​ = ?

A bridge with 120 Ω arms is excited with 3 V and has one active gauge (quarter bridge). The gauge factor is 2.05 and the strain is 1000 µε. Find the bridge output Vo in mV.

Vs = 3 VGF = 2.05ε = 1000 µε
Vo = mV

Answer key

  1. 1. Rx = 150 Ω
  2. 2. R4 = 300 Ω
  3. 3. ΔR = 15 Ω
  4. 4. Vab = 833.3 mV
  5. 5. Vo = 7.875 mV
  6. 6. Vo = 1.537 mV

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