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الفيزياء العامة الجزء الثاني#موقع الفيزياء.كوم

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Direct Current Circuits

8.7.3 The potentiometer

This circuit is used to measure potential differences by comparison with a

slandered voltage source. The circuit is shown in figure 8.26 where the

working emf is ξ w and the unknown emf is ξ x . The current flow in the

circuit is I in the left branch and I x is the current in the right branch and I-I x

is the current flow in the variable resistor. Apply second Kirchhoff’s rule

on the right branch abcd we get,

I

I x

I - I x

a b

ξ

x

ξ w

R x

G

d

c

Figure 8.26

-(I-I x )R x +ξ x = 0

When the variable resistance adjusted until the galvanometer reads zero, this

mean that I x =0.

ξ x = IR x

In the next step the emf ξ x is replaced with standard emf ξ s , and adjusted

the resistance until the galvanometer reads zero, therefore,

ξ s = IR x

Where the current I remains the same, divide the two equations we get,

x

Rx

ζ

s

Rs

ζ = (8.24)

This shows how unknown emf can be determined using known emf.

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