In a slide-wire (metre) bridge a known 2 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.
Wheatstone bridge & strain gauges worksheet with answers
The Wheatstone bridge in the diagram is balanced: the galvanometer reads zero. R₁ = 80 Ω, R₂ = 1000 Ω and R₃ = 60 Ω. Find the unknown resistor R4.
A bridge with four 150 Ω arms is supplied with 9 V. When the sensor R₂ changes, the output reads Vab = 214.3 mV. Find the exact change ΔR of R₂.
A bridge with four 470 Ω arms is supplied with 15 V. When the sensor R₂ changes, the output reads Vab = 37.31 mV. Find the exact change ΔR of R₂.
A 120 Ω strain gauge with gauge factor 2 is bonded to a steel bar. Under load its resistance rises by 0.096 Ω. Find the strain ε in microstrain (µε).
A bridge with 350 Ω arms is excited with 10 V and has one active gauge (quarter bridge). The gauge factor is 2 and the strain is 1500 µε. Find the bridge output Vo in mV.
Answer key
- 1. Rx = 6 Ω
- 2. R4 = 750 Ω
- 3. ΔR = 15 Ω
- 4. ΔR = 4.7 Ω
- 5. ε = 400 µε
- 6. Vo = 7.5 mV
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