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
20 ΩRₓBGACD20 cm

In a slide-wire (metre) bridge a known 20 Ω resistor sits in the left gap and an unknown resistor Rₓ in the right gap. The galvanometer reads zero when the jockey is 20 cm from the left end A of the 100 cm wire. Find Rx.

R = 20 Ωl = 20 cmL = 100 cm
Rx = Ω
2.Easy
+−3 VR1​ = 100 ΩR2​ = 100 ΩR3​ = 600 ΩR4​ = ?abG0

The Wheatstone bridge in the diagram is balanced: the galvanometer reads zero. R₁ = 100 Ω, R₂ = 100 Ω and R₃ = 600 Ω. Find the unknown resistor R4.

R1 = 100 ΩR2 = 100 ΩR3 = 600 Ω
R4 = Ω
3.Medium
+−5 V400 Ω400 Ω400 Ω400 Ωab+−

A 400 Ω strain gauge is one arm (R₂) of a bridge with four equal 400 Ω arms and an excitation of 5 V. Find the power Pg dissipated in the gauge, in mW. Self-heating limits the excitation.

Vs = 5 VR = 400 Ω
Pg = mW
4.Medium
+−3 V150 Ω150 Ω + ΔR150 Ω150 Ωab+−14.85 mV

A bridge with four 150 Ω arms is supplied with 3 V. When the sensor R₂ changes, the output reads Vab = 14.85 mV. Find the exact change ΔR of R₂.

Vs = 3 VR = 150 ΩVab = 14.85 mV
ΔR = Ω
5.Hard
+−2.5 V120 Ω120 Ω + ΔR120 Ω120 Ωab+−Vo​ = ?

A bridge with 120 Ω arms is excited with 2.5 V and has one active gauge (quarter bridge). The gauge factor is 2 and the strain is 200 µε. Find the bridge output Vo in mV.

Vs = 2.5 VGF = 2ε = 200 µε
Vo = mV
6.Hard
+−5 V350 Ω350 Ω + ΔR350 Ω350 Ωab+−3 mV

A quarter bridge with one active gauge (GF = 2) is excited with 5 V. Under load the output reads 3 mV. Find the strain ε in µε.

Vs = 5 VGF = 2Vo = 3 mV
ε = µε

Answer key

  1. 1. Rx = 80 Ω
  2. 2. R4 = 600 Ω
  3. 3. Pg = 15.63 mW
  4. 4. ΔR = 3 Ω
  5. 5. Vo = 0.25 mV
  6. 6. ε = 1200 µε

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