Question
Use Kirchhoff’s rules to obtain conditions for the balance condition in a Wheatstone bridge.
Solution
A Wheatstone bridge arrangement is shown as below:
Using Kirchoff’s second law to the loop ABDA, we get
Applying Kirchoff’s law to loop BCDB, we get
When the bridge is balanced,
Then, the equations can be written as,
... (1)
... (2)
On dividing equation (1) by (2), we get, which is the balanced condition of a Wheatstone bridge.