Calculate the solenoid dimension

1. Apr 30, 2008

mdpai

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

2. Apr 30, 2008

NoTime

3. Apr 30, 2008

mdpai

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

4. Apr 30, 2008

mdpai

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

5. Apr 30, 2008

NoTime

Since stronger magnets have been built, it's possible.
Within any construction constraints you might have, no idea.
Good luck with that.

6. May 6, 2008

R A V E N

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

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

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

7. May 6, 2008

mdpai

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?

8. May 7, 2008

R A V E N

You are right,it is error in my book.But still you don`t have $$N$$ given.

9. May 7, 2008

mdpai

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

10. May 7, 2008

R A V E N

$$N$$ is number of loops.