called a Wheatstone bridge, is used to determine the value of an nknown resistor X by compari- son with three resistors M, N, and P whose resistances can be varied. For each setting, the resistance of each resistor is precisely known. With switches S₁ and S₂ closed, hese resistors are varied until the current in the galvanor s zero; the bridge is then said to be balanced. (a) Show tha his condition the unknown resistance is given by X = This method permits very high precision in comparing re b) If galvanometer G shows zero deflection when M = 8: V 15.00 2, and P = 33.48 2, what is the unknow. ance X? b S₁ N M G d
called a Wheatstone bridge, is used to determine the value of an nknown resistor X by compari- son with three resistors M, N, and P whose resistances can be varied. For each setting, the resistance of each resistor is precisely known. With switches S₁ and S₂ closed, hese resistors are varied until the current in the galvanor s zero; the bridge is then said to be balanced. (a) Show tha his condition the unknown resistance is given by X = This method permits very high precision in comparing re b) If galvanometer G shows zero deflection when M = 8: V 15.00 2, and P = 33.48 2, what is the unknow. ance X? b S₁ N M G d
College Physics
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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Transcribed Image Text:26.74
The Wheatstone Bridge.
The circuit shown in Fig. P26.74,
called a Wheatstone bridge, is
used to determine the value of an
unknown resistor X by compari-
son with three resistors M, N, and
P whose resistances can be varied.
For each setting, the resistance of
each resistor is precisely known.
With switches S₁ and S₂ closed,
these resistors are varied until the current in the galvanometer G
is zero; the bridge is then said to be balanced. (a) Show that under
this condition the unknown resistance is given by X = MP/N.
(This method permits very high precision in comparing resistors.)
(b) If galvanometer G shows zero deflection when M = 850.0 ,
N = 15.00 , and P = 33.48 2, what is the unknown resis-
tance X?
00
Figure P26.74
b
S₁
N
M
a
d
X
C
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