Heaviside Campbell Bridge
This is Mutual Inductance Bridge. This method is used for measurement of self inductance over a wide range and is one of the best methods for general use. The circuit diagram is shown in fig. in which L1 is self inductance to be measured, R1 is the resistance of the unknown self inductance L1, R2 and R4 are known non-inductive resistances. The primary of the mutual induct meter is inserted in the supply circuit and the secondary of self inductance L3 and resistance R3 are placed in arm III of the bridge. As shown in the figure. The bridge is balanced by varying the mutual inductance M and resistances R2 and R4.
L1 = (M(R2 + R4) + L3 R2)/R4
If resistances R2 and R4 are equal then L1 = L3 + 2 M
Thus with a calibrated standard of mutual inductance the value of a self inductance can be determined by this bridge. The same bridge can be used for measurement of mutual inductance in terms of a known self inductance as under balance conditions
M = (L1 R4 - L3 R2)/(R2 + R4)
It is obvious from the above expression that L3, the self inductance of the secondary of the mutual inductance should be known so that mutual inductance can be measured by this method. If resistances R2 and R4 are equal then M = L1 - L3/2 and R3 = R1
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