The Kelvin bridge consists of two branches, A and B, which are connected in parallel. The branch A contains the unknown resistance X, and the branch B contains a standard resistor Rs. The bridge is balanced when the potential difference between points C and D is zero.
To balance the bridge, the variable resistor R is adjusted until the galvanometer G reads zero. When the bridge is balanced, the following equation can be used to calculate the unknown resistance X:
X = Rs * (R2 / R1)
Where:
X is the unknown resistance
Rs is the standard resistor
R1 is the resistance in arm 1 of the bridge
R2 is the resistance in arm 2 of the bridge
The Kelvin bridge is a very accurate and sensitive instrument for measuring low resistances. It is often used in the calibration of other electrical instruments and in the testing of electrical components.