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 comparison 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 Ω, N = 15.00 Ω, and P = 33.48 Ω, what is the unknown resistance X? 26.74 • The Wheatstone Bridge.The circuit shown in Fig. P26.74,called a Wheatstone bridge, isFigure P26.74аused to determine the value of anN,Punknown resistor X by compari-son with three resistors M, N, andP whose resistances can be varied.For each setting, the resistance ofeach resistor is precisely known.With switches S and S2 closed,these resistors are varied until the current in the galvanometer Gis zero; the bridge is then said to be balanced. (a) Show that underthis 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,N = 15.00 N, and P = 33.48 N, what is the unknown resis-bGS2+3.MS1dtance X?

Given Wheatstone Bridge circuit shown in Fig. Where, M=850 ΩN=15 ΩP=33.48 Ω

Answered: 26.74 • The Wheatstone Bridge. The…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

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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 comparison 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 Ω, N = 15.00 Ω, and P = 33.48 Ω, what is the unknown resistance X?

26.74 • The Wheatstone Bridge.
The circuit shown in Fig. P26.74,
called a Wheatstone bridge, is
Figure P26.74
а
used to determine the value of an
N,
P
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 S 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,
N = 15.00 N, and P = 33.48 N, what is the unknown resis-
b
G
S2
+
3.
M
S1
d
tance X?

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