Anderson's bridge

It enables measurement of inductance by utilizing other circuit components like resistors and capacitors.

[3] The balance conditions for Anderson's bridge or, equivalently the values of the self-inductance and resistance of the given coil can be found using basic circuit analysis techniques such as KCL, KVL and using phasors.

Applying Kirchhoff's current law at node d, it can be shown that- Since the analysis is being made under the balanced condition of the bridge, it can be said that the voltage drop across the voltmeter is essentially zero.

On applying Kirchhoff's voltage law to the appropriate loops(in the anti-clockwise direction), the following relations hold- On solving these sets of equations, one can finally obtain the self-inductance and resistance of the coil as- The Anderson's bridge can also be used the other way round- that is, it can be used to measure the capacitance of an unknown capacitor using an inductor coil whose self-inductance and electrical resistance have been pre-determined to a high degree of precision.

An interesting point to note is the fact that the measured self-inductance of the coil does not change even on taking dielectric loss within the capacitor into account.