In a slide-wire (metre) bridge a known 50 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.
Wheatstone bridge & strain gauges worksheet with answers
The Wheatstone bridge in the diagram is balanced by adjusting R₃. R₁ = 600 Ω, R₂ = 1000 Ω and R₄ = 50 Ω. Find the setting R3.
A bridge with four 500 Ω arms is supplied with 2 V. When the sensor R₂ changes, the output reads Vab = 24.39 mV. Find the exact change ΔR of R₂.
A 1000 Ω strain gauge is one arm (R₂) of a bridge with four equal 1000 Ω arms and an excitation of 5 V. Find the power Pg dissipated in the gauge, in mW. Self-heating limits the excitation.
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 2.1 and the strain is 1500 µε. Find the bridge output Vo in mV.
A bridge with 120 Ω arms is excited with 5 V and has two active gauges in adjacent arms, one in tension and one in compression (half bridge). The gauge factor is 2.1 and the strain is 250 µε. Find the bridge output Vo in mV.
Answer key
- 1. Rx = 16.67 Ω
- 2. R3 = 30 Ω
- 3. ΔR = 25 Ω
- 4. Pg = 6.25 mW
- 5. Vo = 9.45 mV
- 6. Vo = 1.313 mV
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