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How to derive end correction formula for meter bridge?

How to derive end correction formula for meter bridge?

Grade:12th pass

1 Answers

Arun
25763 Points
3 years ago
 

The major systematic errors in this experiment are due to the heating effect, end corrections introduced due to shift of the zero of the scale at A and B, and stray resistances in P and Q, and errors due to non-uniformly of the meter bridge wire.
 

Error Analysis

End corrections can be estimated by including known resistances P1and Q1 in the two ends and finding the null point:

1447_image045.gif  (where a and b are the end corrections).

When the resistance Q1 is placed in the left gap and P1 in the right gap,

1054_image046.gif

which give two linear equation for finding a and b.

In order that aand b be measured accurately, P1 and Q1 should be as different from each other as possible.

For the actual balance point,

1913_image047.gif

Errors due to non-uniformity of the meter bridge wire can be minimized by interchanging the resistances in the gaps P and Q.

1300_image048.gif

Where d and d are the order of the least count of the scale.

 

 

Regards

Arun

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