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A single loop of wire gives a field of 0.9 µT at its centre…
Contributed by StemPy LabTry it on paper first. A hint, the key idea and the worked solution are here when you need them.
A single loop of wire gives a field of at its centre. It is replaced by a coil of turns, close together, with the same radius and the same current.
- What is the field at the centre now?
- What is it if the current is also made times as large?
Need a reminder? The key ideaShow
At the centre of a loop, every part of the wire adds its field in the same direction. A coil of turns close together gives times the field of one loop, and the field is proportional to the current.
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 coil. .
Step 2. The larger current. .
Answer: , and then .
Check. In all, the field is times that of the first loop: .
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