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
5 ΩRₓBGACD40 cm

In a slide-wire (metre) bridge a known 5 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 = 5 Ωl = 40 cmL = 100 cm
Rx = Ω
2.Easy
+−5 VR1​ = 1000 ΩR2​ = 500 ΩR3​ = 800 ΩR4​ = 300 Ωab+−

In the bridge shown, Vs = 5 V, R₁ = 1000 Ω and R₂ = 500 Ω. Find the voltage Va of node a with respect to the negative supply rail.

Vs = 5 VR1 = 1000 ΩR2 = 500 ΩR3 = 800 ΩR4 = 300 Ω
Va = V
3.Medium
+−10 V250 Ω250 Ω250 Ω250 Ωab+−

A 250 Ω strain gauge is one arm (R₂) of a bridge with four equal 250 Ω arms and an excitation of 10 V. Find the power Pg dissipated in the gauge, in mW. Self-heating limits the excitation.

Vs = 10 VR = 250 Ω
Pg = mW
4.Medium
+−9 V500 Ω500 Ω + ΔR500 Ω500 Ωab+−44.55 mV

A bridge with four 500 Ω arms is supplied with 9 V. When the sensor R₂ changes, the output reads Vab = 44.55 mV. Find the exact change ΔR of R₂.

Vs = 9 VR = 500 ΩVab = 44.55 mV
ΔR = Ω
5.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 and the strain is 1000 µε. Find the bridge output Vo in mV.

Vs = 3 VGF = 2ε = 1000 µε
Vo = mV
6.Hard
+−5 V120 Ω − ΔR120 Ω + ΔR120 Ω120 Ωab+−Vo​ = ?

A bridge with 120 Ω arms is excited with 5 V and has two active gauges in adjacent arms, one in tension and one in compression (half bridge). The gauge factor is 2.12 and the strain is 250 µε. Find the bridge output Vo in mV.

Vs = 5 VGF = 2.12ε = 250 µε
Vo = mV

Answer key

  1. 1. Rx = 7.5 Ω
  2. 2. Va = 1.667 V
  3. 3. Pg = 100 mW
  4. 4. ΔR = 9.999 Ω
  5. 5. Vo = 1.5 mV
  6. 6. Vo = 1.325 mV

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