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 65 cm from the left end A of the 100 cm wire. Find Rx.
Wheatstone bridge & strain gauges worksheet with answers
In the bridge shown, Vs = 6 V, R₁ = 50 Ω and R₂ = 100 Ω. Find the voltage Va of node a with respect to the negative supply rail.
A 350 Ω strain gauge is one arm (R₂) of a bridge with four equal 350 Ω arms and an excitation of 6 V. Find the power Pg dissipated in the gauge, in mW. Self-heating limits the excitation.
A bridge has four 400 Ω arms and Vs = 6 V. The sensor R₂ increases by ΔR = 0.8 Ω. Using the small-change approximation, find the output Vab in mV.
A strain gauge (GF = 2.1) on a member with E = 210 GPa forms a quarter bridge excited with 3 V. The output reads 0.788 mV. Find the axial stress σ in MPa.
A bridge with 120 Ω arms is excited with 2.5 V and has one active gauge (quarter bridge). The gauge factor is 2.12 and the strain is 400 µε. Find the bridge output Vo in mV.
Answer key
- 1. Rx = 1.077 Ω
- 2. Va = 4 V
- 3. Pg = 25.71 mW
- 4. Vab = 3 mV
- 5. σ = 105.1 MPa
- 6. Vo = 0.53 mV
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