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
10 ΩRₓBGACD25 cm

In a slide-wire (metre) bridge a known 10 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 = 10 Ωl = 25 cmL = 100 cm
Rx = Ω
2.Easy
+−2 VR1​ = 40 ΩR2​ = 80 ΩR3​ = 50 ΩR4​ = 10 Ωab+−

The bridge shown is supplied with Vs = 2 V and its output is open. Find the current Is drawn from the supply, in mA.

Vs = 2 VR1 = 40 ΩR2 = 80 ΩR3 = 50 ΩR4 = 10 Ω
Is = mA
3.Medium
+−2 V500 Ω500 Ω500 Ω500 Ωab+−

A 500 Ω strain gauge is one arm (R₂) of a bridge with four equal 500 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 = 500 Ω
Pg = mW
4.Medium
+−10 V120 Ω120 Ω + ΔR120 Ω120 Ωab+−Vab​ = ?

A bridge has four 120 Ω arms and Vs = 10 V. The sensor R₂ increases by ΔR = 0.96 Ω. Using the small-change approximation, find the output Vab in mV.

Vs = 10 VR = 120 ΩΔR = 0.96 Ω
Vab = mV
5.Hard
+−5 V120 Ω120 Ω + ΔR120 Ω120 Ωab+−Vo​

A quarter bridge (one active gauge, GF = 2.1) is excited with 5 V. The largest strain to be measured is 1200 µε, and it must give 10 V at the input of an analogue-to-digital converter. Find the amplifier gain G.

Vs = 5 VGF = 2.1εmax = 1200 µεVFS = 10 V
G =
6.Hard
+−2.5 V120 Ω120 Ω + ΔR120 Ω120 Ωab+−Vo​

A quarter bridge (one active gauge, GF = 2.05) is excited with 2.5 V. The largest strain to be measured is 250 µε, and it must give 10 V at the input of an analogue-to-digital converter. Find the amplifier gain G.

Vs = 2.5 VGF = 2.05εmax = 250 µεVFS = 10 V
G =

Answer key

  1. 1. Rx = 30 Ω
  2. 2. Is = 50 mA
  3. 3. Pg = 2 mW
  4. 4. Vab = 20 mV
  5. 5. G = 3175
  6. 6. G = 31220

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