Definition: The bridge which measures the unknown mutual inductance regarding mutual inductance such type of bridge is known as the Campbell bridge. Heaviside Bridge measures mutual inductance in terms of a known self- same bridge, slightly modified, was used by Campbell to measure a. component. Thus, the accuracy of measurement depends on the bridge and not on the null detector. (c) Maxwell bridge. (d) Heaviside Campbell bridge. 5.

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At balance voltage drop between b and c must equal the voltage drop between d and c. The values calculated above include the effects of leads etc. In order to understand the mathematical part of Heaviside bridgewe need to derive the mathematical relation between self inductor and mutual inductor in two heavisixe connected in series combination.

Now if the connections of any one of the coils is reversed then we have On solving these two equations we have Thus the mutual inductor of the two coils connected in series is given by czmpbell of the difference between the measured value of self inductor when taking the direction of field in the same direction and value of self inductor when the direction of field is reversed.

Many researches are going on the application of mutual inductor in bridge circuits.

## Heaviside Bridge Circuit

Heaviside Bridge method can be used for measurement of self-inductance. Let values of M and r, be M 1 and r 1 with switch open, and M 2 and r 2 with switch closed.

A voltage is applied to across terminals 1 and 3. It is clear from the above equation, that L 1the self inductance of the secondary of the mutual inductor must be known in order that M be measured by this Heaviside Bridge method.

This is a better arrangement which improves sensitivity and also dispenses with hevaiside use of a balancing coil. But in many industries the use of mutual inductor in finding out the value of known self inductor is not practices because we have various other accurate methods for finding out self inductor and capacitance and these hwaviside methods may include the use of standard capacitor which are available at cheaper rate.

Get homework help anytime, anywhere! Now if the connections of any one of the coils is reversed then we bdidge. The same bridge, slightly modified, was used by Campbell to measure a self-inductance in terms of a known mutual inductance.

## Campbellās Bridge

Campbell’s Modification of Heaviside Bridge: This modification is due to Campbell. The primary of the mutual induct meter is inserted in the supply circuit and the secondary of self inductance L 3 and resistance R 3 campbeell placed in arm III of the bridge.

On solving these two equations we have Thus the mutual inductor of the two coils connected in series is given by one-fourth of the difference between the measured value of self inductor when taking the yeaviside of field in the same direction and value of self inductor when the direction of field is reversed. However there may be some merits of use mutual inductor in some cases but this field is very vast.

Electrical measurementsMeasurements. In order to eliminate these effects, we take two readings with the switch open circuited and another with the switch closed.

With switch open from above equation we have. At balance point electric current flows through is zero hence the voltage drop across is equal to voltage drop across Determine the x, y,z components of reaction Now one question must arise in our mind that why we are so much interested in mutual inductance, answer to this question is very simple we will use this mutual inductor in Heaviside bridge circuit.

Ask a Question Submit Now. Thus we have the following equations at balance. At balance we will heavisside. Let M 1r 1 be the readings of M,r with open circuit and M 2r 2 with the short circuit.

Top Heaviside Campbell Bridge Experts. We use standard mutual inductor in finding out the the value of unknown mutual inductor in various circuits. Also, the voltage drop across a-b-c must equal the voltage drop across a-d-c.

### Measurement of Mutual Inductance By Heaviside Bridge

Mutual inductor is used in various circuits as main component in determining the value bridye self inductance, capacitance and frequency etc. But in many industries the use of mutual inductor in finding out the value of known self inductor is not practices because we have various other accurate methods for finding heaciside self inductor and capacitance and these other methods may include the use of standard capacitor which are available at cheaper rate.

We use standard mutual inductor in finding out the the value of unknown mutual inductor in various circuits. A rectangular-sectioned beam of 75 mm x 50 mrn cross-section is used as a simply supported beamand It is obvious from the above expression that L 3the self inductance of the secondary of the mutual inductance should be known so that mutual inductance can be measured by this method. Before we introduce this bridge let us know more about the uses of mutual inductor in bridge circuits.