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
100 ΩRₓBGACD80 cm

In a slide-wire (metre) bridge a known 100 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 = 100 Ωl = 80 cmL = 100 cm
Rx = Ω
2.Easy
10 ΩRₓBGACD55 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 55 cm from the left end A of the 100 cm wire. Find Rx.

R = 10 Ωl = 55 cmL = 100 cm
Rx = Ω
3.Medium
+−12 VR1​ = 800 ΩR2​ = 100 ΩR3​ = 120 ΩR4​ = 200 ΩabGRg​ = 200 Ω

A galvanometer with a resistance of 200 Ω is connected between a and b of the bridge shown (Vs = 12 V). Find the galvanometer current Ig from a to b, in µA.

Vs = 12 VR1 = 800 ΩR2 = 100 ΩR3 = 120 ΩR4 = 200 ΩRg = 200 Ω
Ig = µA
4.Medium
+−3 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 3 V. Find the power Pg dissipated in the gauge, in mW. Self-heating limits the excitation.

Vs = 3 VR = 150 Ω
Pg = mW
5.Hard
+−3 V350 Ω − ΔR350 Ω + ΔR350 Ω + ΔR350 Ω − ΔRab+−Vo​ = ?

A bridge with 350 Ω arms is excited with 3 V and has four active gauges, two in tension and two in compression (full bridge). The gauge factor is 2 and the strain is 1500 µε. Find the bridge output Vo in mV.

Vs = 3 VGF = 2ε = 1500 µε
Vo = mV
6.Hard
+−10 V120 Ω120 Ω + ΔR120 Ω120 Ωab+−Vo​

A quarter bridge (one active gauge, GF = 2) is excited with 10 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 = 10 VGF = 2εmax = 1200 µεVFS = 10 V
G =

Answer key

  1. 1. Rx = 25 Ω
  2. 2. Rx = 8.182 Ω
  3. 3. Ig = −16947 µA
  4. 4. Pg = 15 mW
  5. 5. Vo = 9 mV
  6. 6. G = 1667

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