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 40 cm from the left end A of the 100 cm wire. Find Rx.
Wheatstone bridge & strain gauges worksheet with answers
The Wheatstone bridge in the diagram is balanced: the galvanometer reads zero. R₁ = 40 Ω, R₂ = 300 Ω and R₃ = 40 Ω. Find the unknown resistor R4.
A bridge with four 300 Ω arms is supplied with 15 V. When the sensor R₂ changes, the output reads Vab = 182.9 mV. Find the exact change ΔR of R₂.
A bridge has four 470 Ω arms and Vs = 15 V. The sensor R₂ increases by ΔR = 117.5 Ω. Find the exact output Vab in mV.
A bridge with 120 Ω arms is excited with 2.5 V and has four active gauges, two in tension and two in compression (full bridge). The gauge factor is 2.1 and the strain is 1500 µε. Find the bridge output Vo in mV.
A bridge with 120 Ω arms is excited with 3 V and has one active gauge (quarter bridge). The gauge factor is 2.05 and the strain is 1000 µε. Find the bridge output Vo in mV.
Answer key
- 1. Rx = 150 Ω
- 2. R4 = 300 Ω
- 3. ΔR = 15 Ω
- 4. Vab = 833.3 mV
- 5. Vo = 7.875 mV
- 6. Vo = 1.537 mV
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