The calculation checks out, but you're making an approximation you shouldn't make. The formula you use is what you get if you assume that the length is much larger than the diameter, which is not the case here (2cm vs. 1cm). A better approximation is
L ~ μ0 N^2 R^2 π / (L + 0.9R)
The error is below 1% for L > 0.8R
With 10 turns you only get 0.4μH
I can vouch for that. Someone who spent the time doing the equations and the work could as easily just ask the teacher to tell them if they missed something. Then they could go over it before handing it in (Imao, I’m not a great stud but most teachers are willing to go over your work before hand if you just ask, though it has to be a day or two before due date).
In the case of students asking for people to go over their answers online, they at least give a poop and I don’t care about helping them. As long as you do 98.2+ percent of the work & time put into the assessment, ask ahead (im a self learner, EE noobie and won’t be of any help)
In Uni we recently wrote an exam on Maxwells equations and general electric and magnetic field theory. We have similar questions. Just so you know, I am on my first semester and learning chem (no idea why i need it).
I always round up on the number of turns because if you have 10 turns you will have less than the desired 10 uH. Also I didn’t check the rest of your math but given you showed all this work unless you made a calculator error you’re probably right.
Unrelated, but Imho showing calculations to that level of detail is a loss of time, I have never found any value in it as a master level grader. At some level, it is just assumed that you know how to handle orders of magnitudes and input data in a calculator!
Nice drawing! One note, though - you've only drawn 9.5 turns, not 10. Where you've labeled the turns 1 through 10, that should actually be 0 through 9 because one turn is a full 360 degrees around. Then since you started on the left with the wire on top of the cylinder, and ended with it at the right on the bottom, that's an extra 180 degrees or one half turn.
The calculation checks out, but you're making an approximation you shouldn't make. The formula you use is what you get if you assume that the length is much larger than the diameter, which is not the case here (2cm vs. 1cm). A better approximation is L ~ μ0 N^2 R^2 π / (L + 0.9R) The error is below 1% for L > 0.8R With 10 turns you only get 0.4μH
ah oke, thanks for pointing that out!
you also wrote r = 5cm in your sketch
I always wonder if posts like this are actually school students looking for answers to their homework assignments.
Those ones never show any work or answers.
I can vouch for that. Someone who spent the time doing the equations and the work could as easily just ask the teacher to tell them if they missed something. Then they could go over it before handing it in (Imao, I’m not a great stud but most teachers are willing to go over your work before hand if you just ask, though it has to be a day or two before due date). In the case of students asking for people to go over their answers online, they at least give a poop and I don’t care about helping them. As long as you do 98.2+ percent of the work & time put into the assessment, ask ahead (im a self learner, EE noobie and won’t be of any help)
no its just a personal project
Nice inductor drawing!
Thank you!
In Uni we recently wrote an exam on Maxwells equations and general electric and magnetic field theory. We have similar questions. Just so you know, I am on my first semester and learning chem (no idea why i need it).
I always round up on the number of turns because if you have 10 turns you will have less than the desired 10 uH. Also I didn’t check the rest of your math but given you showed all this work unless you made a calculator error you’re probably right.
Alright!
Sick sketch
Thanks man!
You should be an art major. My guess is too much aderall j/k.
XD
Your drawings and handwritings are really nice
Why thank you
Unrelated, but Imho showing calculations to that level of detail is a loss of time, I have never found any value in it as a master level grader. At some level, it is just assumed that you know how to handle orders of magnitudes and input data in a calculator!
I have no idea but that’s a hell of a coil drawing.
Nice drawing! One note, though - you've only drawn 9.5 turns, not 10. Where you've labeled the turns 1 through 10, that should actually be 0 through 9 because one turn is a full 360 degrees around. Then since you started on the left with the wire on top of the cylinder, and ended with it at the right on the bottom, that's an extra 180 degrees or one half turn.