A 10 Ω box is in the right gap of a meter bridge, and the unknown X is in the left…
Contributed by StemPy LabTry it on paper first. A hint, the key idea and the worked solution are here when you need them.
A box is in the right gap of a meter bridge, and the unknown is in the left. The first balance is at . After and the box are interchanged, the balance is at . The two should add to , but they do not. Find from each reading and take the average.
Need a reminder? The key ideaShow
At balance, , with measured from the end where is joined. A resistor in parallel with makes the right arm . For a wire, .
The worked solution
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Step 1. The first reading. .
Step 2. The second reading. .
Step 3. The average. .
Why it works. The end corrections add a little to one side. When the arms are swapped, the same correction pushes the result the other way. The average cancels most of it.
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