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
50 ΩRₓBGACD25 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 25 cm from the left end A of the 100 cm wire. Find Rx.

R = 50 Ωl = 25 cmL = 100 cm
Rx = Ω
3.Medium
+−2 V150 Ω150 Ω150 Ω150 Ωab+−

A 150 Ω strain gauge is one arm (R₂) of a bridge with four equal 150 Ω arms and an excitation of 2 V. Find the power Pg dissipated in the gauge, in mW. Self-heating limits the excitation.

Vs = 2 VR = 150 Ω
Pg = mW
4.Medium
+−10 V220 Ω220 Ω + ΔR220 Ω220 Ωab+−Vab​ = ?

A bridge has four 220 Ω arms and Vs = 10 V. The sensor R₂ increases by ΔR = 44 Ω. Find the exact output Vab in mV.

Vs = 10 VR = 220 ΩΔR = 44 Ω
Vab = mV
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+−Vo​ = ?

A bridge with 350 Ω arms is excited with 5 V and has one active gauge (quarter bridge). The gauge factor is 2.1 and the strain is 200 µε. Find the bridge output Vo in mV.

Vs = 5 VGF = 2.1ε = 200 µε
Vo = mV

Answer key

  1. 1. Rx = 12.5 Ω
  2. 2. Rx = 150 Ω
  3. 3. Pg = 6.667 mW
  4. 4. Vab = 454.5 mV
  5. 5. Vo = 0.25 mV
  6. 6. Vo = 0.525 mV

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