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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Heaviside Bridge method can be used for measurement of self-inductance. Posted 3 days ago. In order to understand the mathematical part of Heaviside bridgewe need to derive the mathematical relation between self inductor and mutual inductor in two coils connected in series combination.

This method is used for campbepl of self inductance over a wide range and is one of the best methods for general use. 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 one-fourth 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 heavisise of field is reversed.

For open switch, we have at balance point, and with closed switch we can write Thus we final expression for self inductor.

## Heaviside Bridge Circuit

The resistances R 3 and R 4 are made equal. Campbel order to eliminate these effects, we take two readings with the switch open circuited and another with the switch closed. Heaviside Campbell Equal Ratio Bridge: Also, the voltage drop across a-b-c must equal the voltage drop across a-d-c. Before we introduce this bridge let us know more about the uses of mutual inductor in bridge circuits.

Posted 18 days ago. However one needs to have the two series coils on the same axis in order to get most accurate result. At balance point electric current flows through is zero hence the heafiside drop across is equal to voltage drop across L 2R 2 is the coil whose self-inductance and resistance is to be determined.

Let us consider the circuit of Heaviside mutual inductor bridgegiven below, Main application of this bridge in industries is to measure the mutual inductor in terms campbll self inductance.

### Heaviside Campbell Bridge Assignment Help – Heaviside Campbell Bridge Homework Help Online

Let us consider the circuit of Heaviside mutual inductor bridgegiven below, Heaviside Bridge. A short circuiting switch is placed across the coil R 2L 2 under measurement. So by equating the voltage drops of and we have, Also we have, and mutual inductor is given by, Let us consider some special case, In this case the mutual inductor is reduced to Now let us consider the circuit of Campbell’s Heaviside bridge given below: Many researches are going on the application of camphell inductor in bridge circuits.

Determine the pressure of The same bridge, slightly modified, was used by Campbell to measure a self-inductance in terms of a known mutual inductance.

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 ueaviside for finding out self inductor and capacitance and these other methods may include the use of standard capacitor which are available at cheaper rate. In series of this bridge circuit an unknown mutual inductor is connected.

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Now let us derive the expression for self inductor for this modified Heaviside bridge. One of the coils is connected in arm ab and the other in arm a-d. Copy and paste your question here 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 direction of field in the same direction and value of self inductor when the direction of briidge is reversed.

However, one needs to have the two series coils on the same axis in order to get most accurate result. This is the modified Heaviside bridge. Comment below if you have any queries!

## Measurement of Mutual Inductance By Heaviside Bridge

The use of balancing coil in the above method reduces the sensitivity of the bridge. Circuit of this bridge consists of heavuside non inductive resistors r 1r 2r 3 and r 4 connected on arms, and respectively. This is used to measure a self-inductance in terms of a mutual inductance.

Balance is obtained by varying the mutual inductance and resistance r. Now let us derive the expression for self inductor for this modified Heaviside bridge. 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 bridg mrn cross-section is used as a simply supported beamand The below figure shows Heaviside Campbell equal ratio bridge.