# Calculate the solenoid dimension

## Main Question or Discussion Point

Hi to all,

I have a problem to share with you guys.

How can I calculate the thickness of my solenoid if I have these values;

Solenoid long : 20cm
magnetic field, B : 5Tesla
Current, I : 20A

Thanks a lot for your help. I appreciate that

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NoTime
Homework Helper

5T, yeah I know , it's a lot. is it possible?

B=μnI this is only valid if the proportion between the thickness and the longeur is huge.

NoTime
Homework Helper
5T, yeah I know , it's a lot. is it possible?
Since stronger magnets have been built, it's possible.
Within any construction constraints you might have, no idea.
Good luck with that.

At which place is regarding to solenoid $$B=5\;T$$?

For example,formula for $$B$$ in center of solenoid is:

$$B=\frac{\mu_0NI}{\sqrt{4R^2+l^2}}$$

At which place is regarding to solenoid $$B=5\;T$$?

For example,formula for $$B$$ in center of solenoid is:

$$B=\frac{\mu_0NI}{\sqrt{4R^2+l^2}}$$
It's in the air at the center of the solenoid.

p/s:
I found a formula

$$B=\frac{\mu_0NI}{\sqrt{R^2+l^2}}$$

So now I confuse, it's 4R^2 or R^2?

You are right,it is error in my book.But still you don`t have $$N$$ given. the thickness of the solenoid depends on the value of N. So, I dont know if we have to calculate N first or, directly calculate the value of the thickness

the thickness of the solenoid depends on the value of N. $$N$$ is number of loops.