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 80 cm from the left end A of the 100 cm wire. Find Rx.
Wheatstone bridge & strain gauges worksheet with answers
Find the open-circuit output voltage Vab = Va − Vb of the bridge shown, with Vs = 10 V.
A bridge has four 100 Ω arms and Vs = 3 V. The sensor R₂ increases by ΔR = 0.25 Ω. Using the small-change approximation, find the output Vab in mV.
A 220 Ω strain gauge is one arm (R₂) of a bridge with four equal 220 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 with 120 Ω arms is excited with 10 V and has two active gauges in adjacent arms, one in tension and one in compression (half bridge). The gauge factor is 2.05 and the strain is 1200 µε. Find the bridge output Vo in mV.
A bridge with 350 Ω arms is excited with 3 V and has one active gauge (quarter bridge). The gauge factor is 2.05 and the strain is 250 µε. Find the bridge output Vo in mV.
Answer key
- 1. Rx = 12.5 Ω
- 2. Vab = −5.606 V
- 3. Vab = 1.875 mV
- 4. Pg = 40.91 mW
- 5. Vo = 12.3 mV
- 6. Vo = 0.3844 mV
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