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 ΩRₓBGACD75 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 75 cm from the left end A of the 100 cm wire. Find Rx.

R = 10 Ωl = 75 cmL = 100 cm
Rx = Ω
2.Easy
20 ΩRₓBGACD35 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 35 cm from the left end A of the 100 cm wire. Find Rx.

R = 20 Ωl = 35 cmL = 100 cm
Rx = Ω
3.Medium
+−3 V330 Ω330 Ω330 Ω330 Ωab+−

A 330 Ω strain gauge is one arm (R₂) of a bridge with four equal 330 Ω arms and an excitation of 3 V. Find the power Pg dissipated in the gauge, in mW. Self-heating limits the excitation.

Vs = 3 VR = 330 Ω
Pg = mW
4.Medium
+−2 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 2 V. Find the power Pg dissipated in the gauge, in mW. Self-heating limits the excitation.

Vs = 2 VR = 250 Ω
Pg = mW
5.Hard
+−10 V120 Ω120 Ω + ΔR120 Ω120 Ωab+−Vo​

A quarter bridge (one active gauge, GF = 2.05) is excited with 10 V. The largest strain to be measured is 750 µε, and it must give 10 V at the input of an analogue-to-digital converter. Find the amplifier gain G.

Vs = 10 VGF = 2.05εmax = 750 µεVFS = 10 V
G =
6.Hard
+−3 V350 Ω − ΔR350 Ω + ΔR350 Ω350 Ωab+−Vo​ = ?

A bridge with 350 Ω arms is excited with 3 V and has two active gauges in adjacent arms, one in tension and one in compression (half bridge). The gauge factor is 2.05 and the strain is 200 µε. Find the bridge output Vo in mV.

Vs = 3 VGF = 2.05ε = 200 µε
Vo = mV

Answer key

  1. 1. Rx = 3.333 Ω
  2. 2. Rx = 37.14 Ω
  3. 3. Pg = 6.818 mW
  4. 4. Pg = 4 mW
  5. 5. G = 2602
  6. 6. Vo = 0.615 mV

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