How do you simplify the Wheatstone bridge?
Step 1: Diagram of a Wheatstone bridge
As per the diagram, the current is from the battery with a potential difference is bifurcated into equal currents and at . The current through the galvanometer will be .
Step 2: Formation of the equation
As per the balanced condition of a Wheatstone bridge, the current through the Galvanometer must be .
In the balanced condition,
By Ohm's law, the relation will be,
To find the value of currents and , apply Ohm's law again, then
Step 3: Relation between the resistances
Put the value of and in equation ,
Simplify further,
Hence, the Wheatstone bridge can be simplified in this way.