For the circuit below, a) Show that the unknown resistance Rx is given by Rx A R3 ww ww Ri B Rx ww Switch ww R₂, D HE R2. R₁ SYRUO R3 where R₁, R₂ and R3 are all accurately known. b) A Wheatstone bridge is balanced when R₁ = 6302, R₂ = 97202 and R3 = 42.62. What is the value of the resistance in the fourth arm?

University Physics Volume 2
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Chapter10: Direct-current Circuits
Section: Chapter Questions
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For the circuit below,
a) Show that the unknown resistance Rx is given by Rx
A
R3
ww
ww
Ri
B
Rx
ww
Switch
ww
R₂,
D
HE
R2.
R₁
SYRUO
R3
where R₁, R₂ and R3 are all accurately known.
b) A Wheatstone bridge is balanced when R₁ = 6302, R₂ = 97202 and R3 = 42.62. What is the value of the
resistance in the fourth arm?
Transcribed Image Text:For the circuit below, a) Show that the unknown resistance Rx is given by Rx A R3 ww ww Ri B Rx ww Switch ww R₂, D HE R2. R₁ SYRUO R3 where R₁, R₂ and R3 are all accurately known. b) A Wheatstone bridge is balanced when R₁ = 6302, R₂ = 97202 and R3 = 42.62. What is the value of the resistance in the fourth arm?
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Follow-up Question

From the same diagram. An unknown length of platinum wire 0.920mm in diameter is placed as the unknown resistance in a wheatstone bridge (same diagram above). Arms 1, 2, and 3 have resistance of 38 ohms, and 46 ohms respectively. Balance is achieved when R3 is 3.48 ohms. How long is the platinum wire?

For the circuit below,
a) Show that the unknown resistance Rx is given by Rx
A
R3
ww
ww
Ri
B
Rx
ww
Switch
ww
R₂,
D
HE
R2.
R₁
SYRUO
R3
where R₁, R₂ and R3 are all accurately known.
b) A Wheatstone bridge is balanced when R₁ = 6302, R₂ = 97202 and R3 = 42.62. What is the value of the
resistance in the fourth arm?
Transcribed Image Text:For the circuit below, a) Show that the unknown resistance Rx is given by Rx A R3 ww ww Ri B Rx ww Switch ww R₂, D HE R2. R₁ SYRUO R3 where R₁, R₂ and R3 are all accurately known. b) A Wheatstone bridge is balanced when R₁ = 6302, R₂ = 97202 and R3 = 42.62. What is the value of the resistance in the fourth arm?
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9781938168161
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OpenStax