Wheatstone bridge & strain gauges worksheet with answers

Free printable Wheatstone bridge & strain gauges worksheet: 6 problems from easy to exam level, with an answer key. Print it or save it as a PDF.

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1.Easy

In the bridge shown, V_s = 15 V, R₁ = 40 Ω and R₂ = 80 Ω. Find the voltage V_a of node a with respect to the negative supply rail.

V_s = 15 VR₁ = 40 ΩR₂ = 80 ΩR₃ = 800 ΩR₄ = 200 Ω

V_a = V

2.Easy

In the bridge shown, V_s = 10 V, R₁ = 500 Ω and R₂ = 120 Ω. Find the voltage V_a of node a with respect to the negative supply rail.

V_s = 10 VR₁ = 500 ΩR₂ = 120 ΩR₃ = 800 ΩR₄ = 10 Ω

V_a = V

3.Medium

A 400 Ω strain gauge is one arm (R₂) of a bridge with four equal 400 Ω arms and an excitation of 3 V. Find the power P_g dissipated in the gauge, in mW. Self-heating limits the excitation.

V_s = 3 VR = 400 Ω

P_g = mW

4.Medium

A 200 Ω strain gauge is one arm (R₂) of a bridge with four equal 200 Ω arms and an excitation of 6 V. Find the power P_g dissipated in the gauge, in mW. Self-heating limits the excitation.

V_s = 6 VR = 200 Ω

P_g = mW

5.Hard

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 2.05 and the strain is 1200 µε. Find the bridge output V_o in mV.

V_s = 2.5 VGF = 2.05ε = 1200 µε

V_o = mV

6.Hard

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 2.05 and the strain is 1000 µε. Find the bridge output V_o in mV.

V_s = 2.5 VGF = 2.05ε = 1000 µε

V_o = mV

Answer key

1. V_a = 10 V
2. V_a = 1.935 V
3. P_g = 5.625 mW
4. P_g = 45 mW
5. V_o = 6.15 mV
6. V_o = 5.125 mV

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