Using Kirchhoff's laws, establish the balance condition for Wheastone bridge.
Show that the resistivity of a conductor is inversely proportional to number densit
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Explanation:
When the bridge is balanced, no current will flow through galvanometer G.
Now using the Kirchhoff's junction law the currents are distributed in the four arms of the Wheatstone bridge as shown in figure.
Applying Kirchhoff's voltage law
for loop ABDA, i
1
P−i
2
R=0⇒
i
2
i
1
=
P
R
....(1)
and for loop BCDB, i
1
Q−i
2
S=0⇒
i
2
i
1
=
Q
S
....(2)
From (1) and (2),
R
P
=
S
Q
, this is the balanced condition for the bridge.
solution
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