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  • (a) Use Kirchhoff's rule to obtain the balance condition in Whetstone bridge. (b)Give one practical application that is based on this principle.    

(a) Use Kirchhoff's rule to obtain the balance condition in Whetstone bridge.
(b)Give one practical application that is based on this principle.

 

 
 
 
 
 

Answers (1)

To obtain the balancing condition of Wheatstone bridge;
Applying Kirchoff's loop Rule to ABDA, we have        
I_{1}p+I_{g}G-I_{2}R= 0
where G is galvanometer resistance.
Now Applying Kirchoff's loop Rule to BCDB.we have
                 
    
\left ( I_{1}-I_{g} \right )Q-\left ( I_{2}+I_{g} \right )S-GI_{g}= 0

when the bridge is balanced, I_{g}= 0
then, the equation can be written as:-

I_{1}p-I_{2}R= 0 \: or\: I_{1}p= I_{2}R----(1)

I_{1}Q-I_{2}S= 0 \: or \: I_{1}Q= I_{2}S----(2)


On dividing equation (1) by (2),we get


\frac{\not{I}_{1}P}{\not{I}_{1}Q}-\frac{\not{I}_{2}R}{\not{I}_{2}S}= 0
\frac{P}{Q}-\frac{R}{S}= 0
\frac{P}{Q}= \frac{R}{S}, 

Which is the balanced condition of a Wheatstone bridge.
A practical device using the principle of Wheatstone bridge is the meter bridge, which is used to measure an unknown resistance.
 

Posted by

Safeer PP

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