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
2 ΩRₓBGACD25 cm

In a slide-wire (metre) bridge a known 2 Ω resistor sits in the left gap and an unknown resistor Rₓ in the right gap. The galvanometer reads zero when the jockey is 25 cm from the left end A of the 100 cm wire. Find Rx.

R = 2 Ωl = 25 cmL = 100 cm
Rx = Ω
2.Easy
+−15 VR1​ = 80 ΩR2​ = 1000 ΩR3​ = 60 ΩR4​ = ?abG0

The Wheatstone bridge in the diagram is balanced: the galvanometer reads zero. R₁ = 80 Ω, R₂ = 1000 Ω and R₃ = 60 Ω. Find the unknown resistor R4.

R1 = 80 ΩR2 = 1000 ΩR3 = 60 Ω
R4 = Ω
3.Medium
+−9 V150 Ω150 Ω + ΔR150 Ω150 Ωab+−214.3 mV

A bridge with four 150 Ω arms is supplied with 9 V. When the sensor R₂ changes, the output reads Vab = 214.3 mV. Find the exact change ΔR of R₂.

Vs = 9 VR = 150 ΩVab = 214.3 mV
ΔR = Ω
4.Medium
+−15 V470 Ω470 Ω + ΔR470 Ω470 Ωab+−37.31 mV

A bridge with four 470 Ω arms is supplied with 15 V. When the sensor R₂ changes, the output reads Vab = 37.31 mV. Find the exact change ΔR of R₂.

Vs = 15 VR = 470 ΩVab = 37.31 mV
ΔR = Ω
5.Hard
+−V120 Ω120 Ω + ΔR120 Ω120 Ωab+−

A 120 Ω strain gauge with gauge factor 2 is bonded to a steel bar. Under load its resistance rises by 0.096 Ω. Find the strain ε in microstrain (µε).

R = 120 ΩGF = 2ΔR = 0.096 Ω
ε = µε
6.Hard
+−10 V350 Ω350 Ω + ΔR350 Ω350 Ωab+−Vo​ = ?

A bridge with 350 Ω arms is excited with 10 V and has one active gauge (quarter bridge). The gauge factor is 2 and the strain is 1500 µε. Find the bridge output Vo in mV.

Vs = 10 VGF = 2ε = 1500 µε
Vo = mV

Answer key

  1. 1. Rx = 6 Ω
  2. 2. R4 = 750 Ω
  3. 3. ΔR = 15 Ω
  4. 4. ΔR = 4.7 Ω
  5. 5. ε = 400 µε
  6. 6. Vo = 7.5 mV

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